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Vickers hardness test

The Vickers hardness test is a standardized method for determining the hardness of metallic materials by pressing a square-based diamond pyramid indenter into the surface under a controlled force and measuring the lengths of the resulting indentation diagonals to calculate the resistance to plastic deformation.^[1] Developed in 1921 by Robert L. Smith and George E. Sandland at Vickers Ltd. in the United Kingdom as an alternative to the Brinell hardness test, it provides a versatile approach applicable to a broad spectrum of loads, from microindentation forces as low as 1 gf to macro loads up to 120 kgf, enabling accurate assessment of both soft and hard materials including thin sections, coatings, and case-hardened surfaces.^[2]^[3] The principle of the test involves applying a specified force to the indenter—a four-sided pyramid with a square base and a face-to-opposite-face angle of 136°—for a dwell time of 10 to 15 seconds, after which the force is removed and the indentation is examined optically to measure the two diagonals, ensuring they do not differ by more than 10%.^[4] The Vickers hardness number (HV) is then derived from the formula HV = (1.8544 × F) / d², where F represents the test force in kilograms-force (kgf) and d is the arithmetic mean of the diagonal lengths in millimeters; equivalent SI formulations use newtons (N) for force.^[1] This method yields a hardness value independent of the indenter size, distinguishing it from other tests like Brinell or Rockwell, and it is particularly valued for its precision in microhardness applications where indentation sizes are below 0.02 mm.^[5] Governed by international standards such as ISO 6507 (divided into parts for test methods, verification, calibration, and tables of hardness values) and ASTM E92 (covering both Vickers and Knoop hardness for metallic materials), the test ensures reproducibility through requirements for indenter geometry, machine verification, and environmental conditions like flat, polished test surfaces free of defects.^[4] Widely used in industries including aerospace, automotive, and metallurgy for quality assurance, failure analysis, and material characterization, the Vickers test's scalability and minimal specimen preparation needs make it indispensable for evaluating hardness gradients, such as in heat-treated components or weld zones.^[6]

Introduction

Definition and Purpose

The Vickers hardness test is an indentation hardness testing method that employs a square-based diamond pyramid indenter to produce an impression on the surface of a material under a specified test force, with hardness determined by measuring the diagonals of the resulting indentation.^[7] This approach allows for precise assessment of a material's resistance to localized plastic deformation.^[8] The primary purpose of the Vickers test is to quantify the hardness of materials across a broad spectrum, from soft metals to hard ceramics and cemented carbides, providing a reliable indicator of their mechanical properties for applications in quality control and manufacturing processes across metallic materials, ceramics, and composites.^[6] It is particularly valuable for evaluating thin coatings, small components, or microstructural features where other methods may be less effective.^[8] The test encompasses macrohardness variants using forces from 1 to 100 kgf and microhardness variants with forces less than 1 kgf (typically 1 gf to 1 kgf), making it versatile for both bulk and localized measurements.^[6] These procedures are standardized internationally under ISO 6507 for metallic materials and ASTM E384 for microindentation hardness.^[7]^[8] The resulting hardness value, denoted as the Vickers Pyramid Number (HV), is load-independent for valid indentations, as it is calculated from the indentation's surface area rather than its depth alone.^[6] Developed in 1921 by Robert L. Smith and George E. Sandland at Vickers Ltd. as an alternative to the Brinell method, the test has become a cornerstone for hardness evaluation in materials science.^[9]

Historical Development

The Vickers hardness test was developed in 1921 by engineers Robert L. Smith and George E. Sandland at Vickers Ltd. in the United Kingdom, specifically to provide a more precise method for assessing the hardness of metals compared to the existing Brinell test.^[9]^[10] The Brinell method, which relied on a steel ball indenter, suffered from limitations such as large indentation sizes that damaged samples and deformation of the indenter itself under high loads, particularly for harder materials; in response, Smith and Sandland introduced a durable diamond pyramid indenter to produce smaller, more accurate impressions suitable for a broader range of applications.^[11]^[12] The test's foundational description appeared in a 1922 publication in the Proceedings of the Institution of Mechanical Engineers, where the inventors highlighted its optical measurement approach for versatility across different material scales and hardness levels.^[13] Named after the Vickers company, the method quickly gained recognition for its adaptability, earning a prize from the Institution of Mechanical Engineers for improving hardness measurement accuracy.^[14] By the 1930s, the test saw widespread adoption for microhardness applications, particularly with lower loads evaluated at institutions like the National Physical Laboratory, enabling detailed analysis of thin layers and small features in metals.^[15]^[12] The 1980s marked a shift toward automation, with the integration of digital microscopes and load control systems enhancing precision and efficiency in testing setups.^[12]^[16] More recently, the 2023 edition of ISO 6507-1 incorporated updates for digital measurement traceability and guidance on advanced verification, reflecting ongoing refinements for modern instrumentation.^[17] Post-1950 advancements have extended the Vickers method into instrumented indentation techniques, particularly for nano-scale testing, where load-displacement data allows for deriving not just hardness but also elastic modulus in thin films and microstructures; this evolution, building on early microhardness work, gained prominence in the 1970s and 1980s through developments like depth-sensing indenters.^[18]^[19]

Principle

Indenter Geometry

The Vickers indenter is a square-based pyramid constructed from a single-crystal diamond, designed to produce precise and repeatable indentations during hardness testing.^[20] The pyramid features four polished faces meeting at a vertex, with the angle between opposite faces specified as 136° ± 0.5°, ensuring the indenter maintains its sharpness and geometry under repeated use.^[20] This material choice provides exceptional resistance to wear, as the diamond's hardness exceeds that of any tested material, allowing the indenter to retain its form across thousands of indentations without significant degradation.^[21] The indenter's geometry adheres to strict specifications outlined in international standards, including a tip effectively rounded to a maximum line of junction length of 0.0005 mm for low-force applications, equivalent to a tip radius less than 0.2 μm in practical implementations.^[20] The four faces are highly polished to eliminate surface defects and preserve sharp edges, while the angle between opposite edges is 148.11° ± 0.76°.^[20] Calibration of the indenter must comply with ISO 6507-2, verifying the pyramid axis alignment with the holder axis to within 0.5° and confirming the absence of defects that could distort measurements.^[20] When pressed into an isotropic material, the indenter produces a rhombic indentation with equal-length diagonals, facilitating accurate optical measurement of the impression size.^[7] The 136° face angle was specifically selected for its optical advantages, as it approximates the geometry of a Brinell indentation at a depth-to-diameter ratio of 0.375, optimizing diagonal visibility under microscopy without requiring complex adjustments.^[22] This fixed-angle design ensures that hardness values remain consistent across a wide range of applied loads, from macro-scale forces to micro-scale, by normalizing the projected area independently of indentation depth.^[21] The pyramidal shape enables the creation of very small indentations, down to a few microns in diagonal length, making it ideal for microhardness testing on thin films, small components, or surface layers where larger indenters would be impractical.^[7]

Indentation and Hardness Concept

The Vickers hardness test measures a material's hardness as its resistance to localized plastic deformation under an applied load from a diamond indenter, providing a quantitative assessment of surface integrity. When the indenter is pressed into the material, it induces a controlled deformation that results in a permanent square pyramidal impression; the size of this impression, particularly its diagonal length, is inversely related to the material's hardness, as harder materials resist penetration more effectively and produce smaller indents.^[23]^[24] In the physical process, a vertical load is applied to the indenter, causing the material to first respond elastically under stress below its yield point. As the load increases, the material exceeds this threshold, transitioning to plastic deformation where permanent shape change occurs within a localized zone beneath the surface. Upon load removal, elastic recovery partially rebounds the deformed material, but the residual impression's diagonal dimension predominantly captures the plastic deformation extent, as elastic effects are minimized in the measurement.^[25]^[26] The core principle underlying Vickers hardness (HV) calculation is that it represents the applied load divided by the surface area of the indentation, yielding a value proportional to the material's mean contact pressure during testing; this approach assumes isotropic material behavior, where properties are uniform in all directions. Unlike tensile or compressive tests that evaluate bulk mechanical response, the Vickers method specifically probes surface properties and exhibits high sensitivity to microstructural elements, such as grain boundaries, phase distributions, and defects, which can significantly influence local deformation resistance.^[27]^[28]^[29] A notable aspect of the test is the indentation size effect (ISE), observed particularly at low loads, where apparent hardness increases as indentation size decreases due to factors like surface stress gradients and lack of full plasticity. This effect is commonly addressed through correction models, such as Meyer's law, which empirically relates load dependence to indentation geometry to derive a load-independent "true" hardness value.^[30]^[31]

Equipment and Procedure

Tester Components and Setup

The Vickers hardness tester consists of several key components designed to apply controlled loads and measure indentations precisely. The core element is the indenter mount, which holds a diamond pyramid indenter with a square base and opposite face angles of 136 degrees, ensuring consistent geometry for indentation across various materials.^[32] The load application system typically employs dead weights for macro-scale testing (loads greater than 1 kgf) or electromagnetic mechanisms and load cells for micro-scale applications (loads from 1 gf to 1 kgf), allowing precise force selection in ranges up to 120 kgf as specified in relevant standards.^[6]^[8] An integrated optical microscope, often with 10-50x magnification, facilitates the measurement of indentation diagonals, while modern units incorporate digital imaging systems for enhanced accuracy.^[6] The sample stage, usually an XY positioning platform, enables precise alignment of the specimen under the indenter, with manual or motorized controls in automated variants.^[32] Setup begins with machine calibration using certified reference blocks covering hardness values such as HV 100 to 800, performed through indirect verification to confirm load accuracy and indenter alignment per established protocols. The tester must be placed on a level, vibration-free table to minimize errors, and optics should be cleaned to ensure clear visualization of indentations. Load selection is configured via weight stacks for macro tests or electromagnetic coils for micro tests, with a dwell time of 10-15 seconds applied after force loading to allow complete plastic deformation.^[6] Variants of the tester include manual models, where operators position samples and measure indentations optically, and automated systems that use motorized stages and software for positioning and data capture. Micro-Vickers testers, adhering to ASTM E384, operate at loads below 1 kgf for fine-scale analysis of thin coatings or microstructures.^[8] Modern automated units integrate software for edge detection, automating diagonal measurements to reduce operator variability.^[33] Additionally, portable and in-situ Vickers-style testers, often based on ultrasonic contact impedance principles with a Vickers diamond tip, have been developed since the 2010s for field applications on large components without laboratory transport.^[34]

Sample Preparation and Testing Steps

Proper sample preparation is essential for accurate Vickers hardness testing to ensure the indentation is well-defined and measurable without distortion. The test surface must be flat, smooth, and clean, free from oxides, contaminants, or irregularities that could affect optical measurement of the indent. For macrohardness testing (loads >1 kgf), the surface is typically ground to achieve this, while microhardness testing (loads ≤1 kgf) requires mechanical or electropolishing to a fine finish with a roughness of Ra < 0.2 μm. Specimens are prepared through a sequence of grinding and polishing steps, often starting with coarser abrasives and progressing to finer ones to minimize subsurface damage. The minimum sample thickness should be at least 1.5 times the expected diagonal length of the indentation according to ISO 6507, or 10 times the indentation depth per ASTM E384, to prevent anvils or substrate effects from influencing the result. For thin films or coatings, low loads are used to avoid penetration into the substrate, and preparation may involve non-destructive methods like gentle polishing to preserve the layer integrity, particularly for welds where localized hardness gradients are assessed. The testing procedure begins with securely positioning the prepared sample on the tester's stage, ensuring stability to avoid movement during loading. The appropriate test load is selected based on the material and scale—ranging from 1 gf to 120 kgf according to applicable standards such as ASTM E384 (for micro loads up to 1 kgf) and ASTM E92 (for macro loads), with common macro loads like 10 kgf (98 N) for larger indents, or micro loads from 1 gf for precise localized measurements—while adhering to ISO 6507 guidelines for force application. The diamond pyramid indenter is aligned over the test location, and the load is applied gradually over 2–8 seconds (nominal 7 seconds) to reach the final value without impact. The load is then held for a dwell time of 10–15 seconds (nominal 14 seconds) to allow full plastic deformation, though longer times up to 30 seconds may be specified for certain materials. After dwell, the load is removed, revealing the square pyramidal indent. Measurement follows immediately using an integrated optical microscope, where the lengths of the two diagonals (d1 and d2) are observed and recorded to the nearest 0.1 μm, ensuring the average diagonal is at least 20 μm for reliable optics. In manual setups, the operator focuses and measures directly; automated testers enhance precision by using software for positioning and imaging, reducing operator error. Typically, 5–10 indents are made per sample for statistical reliability, with results averaged. Key precautions during testing include maintaining minimum spacing between indents—at least 3 times the average diagonal for steels and copper, or 6 times for softer metals like aluminum per ISO 6507—to prevent stress interactions, and positioning indents no closer than 2.5–3 times the diagonal from the sample edge to avoid boundary effects. Indentations near edges or in anisotropic regions should be avoided, and for coated or welded samples, preparation focuses on exposing the region of interest without altering the microstructure.

Calculation and Analysis

Hardness Value Computation

The Vickers hardness number (HV) is computed as the quotient of the applied load and the surface area of the indentation produced by the diamond pyramid indenter. The formula is given by

HV = \frac{1.8544 \times F}{d^2}

where F is the applied load in kilogram-force (kgf) and d is the average length of the two diagonals of the square indentation in millimeters (mm). The resulting HV value has units of kgf/mm².^[35]^[32] The constant 1.8544 arises from the geometry of the indenter, which is a square-based pyramid with a face-to-face angle of 136°, or equivalently, an angle of 68° from the pyramid axis to each face. The surface area A of the indentation is related to the diagonal d by A = d^2 / 1.8544, derived from the projected area formula for the pyramid: A = d^2 / (2 \sin 68^\circ), where \sin 68^\circ \approx 0.9272 and thus $2 \sin 68^\circ \approx 1.8544. This geometric factor ensures that the hardness represents the load per unit surface area of the permanent indentation.^[35]^[36] To compute HV, the lengths of the two diagonals (d_1 and d_2) are measured optically using a microscope after the load is removed and the indentation is fully developed. The average diagonal is then calculated as d = (d_1 + d_2)/2, provided that the difference |d_1 - d_2| is less than 10% of d to ensure a valid square-shaped impression; otherwise, the test is invalid and must be repeated. The HV value is obtained by substituting F and d into the formula, either manually or via integrated software in modern testers. For example, with an applied load F = 10 kgf and average diagonal d = 0.2 mm, HV ≈ 463 kgf/mm².^[32]^[6] The computation is valid for indentation diagonals in the range of 0.02 to 0.5 mm, corresponding to typical test loads from 0.1 to 100 kgf, where the hardness value is independent of load for diagonals greater than 20 μm. At very low loads (e.g., micro- or nano-scale), an indentation size effect (ISE) may occur, leading to apparently higher hardness values; in such cases, corrections can be applied using methods like the Oliver-Pharr approach, which analyzes load-displacement data to account for elastic recovery and pile-up effects.^[32]^[37]

Unit Conversions and Standards

The Vickers hardness number (HV), traditionally expressed in units of kgf/mm², is converted to SI units of megapascals (MPa) using the relation HV (MPa) = HV (kgf/mm²) × 9.80665.^[38] This conversion factor arises from the definition of 1 kgf as 9.80665 N, based on standard gravitational acceleration, combined with the area scaling from mm² to m². For practical approximations, HV in GPa is often taken as HV (kgf/mm²) / 1000, reflecting the near-equivalence of the conversion factor to 10.^[38] International standards ensure reproducibility and accuracy in Vickers hardness testing. The ISO 6507 series governs the method, with the 2023 edition of ISO 6507-1 specifying procedures for metallic materials across test force ranges of 1–98 N (microhardness), 1.9–49 N (low-force), and 49–980 N (conventional).^[17] The accompanying ISO 6507-2:2018 provides for verification and calibration of testing machines, incorporating digital methods for diagonal measurement to enhance precision. In the United States, ASTM E384-22 covers microindentation hardness using Vickers indenters for forces from 1 to 1000 gf, with revisions emphasizing automated image analysis and statistical reporting.^[8] ASTM E92-23 addresses standard and low-force Vickers testing for metallic materials, updating requirements for indenter alignment and load application. Certified reference blocks used for calibration must have hardness values within a tolerance of ±2%. Compliance with these standards requires detailed test reports that document the applied load, dwell time (typically 10–15 seconds), and the two diagonal lengths (d values) of the indentation.^[32] Uncertainty in measurements is evaluated according to the Guide to the Expression of Uncertainty in Measurement (GUM), accounting for contributions from force, displacement, and environmental factors through propagation of uncertainty principles.^[39] Although legacy kgf/mm² units remain common in industrial applications for their familiarity, SI units (MPa or GPa) are mandated for official and legal metrology in the European Union since the 2010 amendments to Directive 80/181/EEC, promoting consistency with the International System of Units. As of 2025, updates in hardness testing practices, aligned with ISO 6507, increasingly emphasize automated validation through AI-driven image recognition and real-time uncertainty assessment to support high-throughput testing.^[40] For instrumented variants that record full load-depth curves, the ISO 14577 series (latest 2015 edition for Part 1) provides complementary standardization, focusing on hardness and modulus determination beyond traditional optical methods.^[41]

Estimating Mechanical Properties

The Vickers hardness test enables the estimation of key mechanical properties, such as ultimate tensile strength (UTS) and yield strength, through established empirical correlations derived from extensive experimental data on metals. For steels, particularly annealed and heat-treated varieties, UTS in MPa is approximately 3 × HV, where HV is the Vickers hardness number; this approximation holds with an error margin of about ±15% across a range of microstructures, though more precise linear models like UTS ≈ 3.734 × HV - 99.8 MPa better account for variations in strain-hardening potential.^[42]^[43] For aluminum alloys, a comparable relation applies, with UTS ≈ 2.95 × HV, applicable to wrought and heat-treated forms but showing greater scatter due to alloy-specific precipitation hardening effects.^[44]^[45] Yield strength estimation follows similar principles, often leveraging Tabor's foundational relation from indentation mechanics, which posits that Vickers hardness approximates three times the yield stress (HV ≈ 3Y, with Y in consistent pressure units, typically adjusted to MPa via HV × 9.807 / 3). For ferritic steels, this refines to yield strength ≈ 2.8 × HV, reflecting the material's dislocation-mediated deformation behavior and validated through irradiation and microstructural studies.^[46]^[47] These correlations facilitate non-destructive property inference in quality control and design. A practical example in failure analysis involves mild steel components, where a measured HV of 200 indicates an UTS of roughly 600 MPa, aiding root-cause determination in fractured parts by linking hardness gradients to overload or fatigue.^[42] However, such estimations are inherently empirical and material-specific, limited to ductile metals like steels and aluminum; they lack reliability for composites, very hard/brittle materials, or those with heterogeneous microstructures, as hardness does not fully capture anisotropic or strain-rate-dependent behaviors.^[4] Standard references like ASTM E384 emphasize these constraints, noting that correlations serve as indicators rather than substitutes for direct tensile testing.^[8] Recent advancements in additively manufactured metals highlight gaps in traditional correlations, with post-2010 studies revealing deviations due to porosity and rapid solidification effects; updated models for alloys like AlSi10Mg incorporate defect correlations to refine UTS predictions, underscoring the need for process-specific calibrations.^[48]

Applications

Suitable Materials and Industries

The Vickers hardness test is suitable for a wide range of materials, including metals such as steels, aluminum, titanium, and their alloys, as well as ceramics, thin coatings, and composites.^[6]^[32]^[49] It particularly excels in evaluating hardness gradients, such as in case-hardened parts, where micro-Vickers variants allow precise measurements across varying material properties without excessive deformation.^[6]^[50] The test's versatility stems from its broad hardness scale, typically ranging from HV 1 to over 3000, enabling assessment from soft to extremely hard substances.^[32] Representative examples illustrate this range: diamond exhibits a Vickers hardness of approximately 10,000 HV, demonstrating the test's capability for ultra-hard materials, while soft polymers can yield values below HV 10, highlighting its applicability to low-hardness substances like certain elastomers.^[51]^[52] In modern contexts, the test is increasingly used for emerging materials, such as 3D-printed alloys like yttria-stabilized zirconia or aluminum-based components, where it verifies mechanical integrity post-fabrication.^[53] In industries, the Vickers test supports quality assurance in ISO 9001-certified manufacturing processes by ensuring material consistency and compliance with standards like ISO 6507 and ASTM E384.^[12]^[32] It is commonly applied in aerospace for testing turbine blades and heat-treated components to confirm durability under extreme conditions.^[6] In the automotive sector, it evaluates gears and case-hardened steels for wear resistance.^[54] The electronics industry employs micro-Vickers for semiconductors and thin coatings to assess brittleness and reliability.^[54] Biomedical applications include hardness profiling of implants made from titanium alloys or ceramics to ensure biocompatibility and strength.^[54] Additionally, micro-Vickers is vital for weld inspections and heat-affected zones in structural components.^[6] As of 2025, its role has expanded to electric vehicle battery components, such as laser-welded aluminum-copper joints for interconnects, where it measures hardness variations to prevent failure in high-demand assemblies.^[55]

Specific Testing Scenarios

One prominent application of the Vickers hardness test involves measuring case depth in carburized steels through a series of traverse indents along a cross-section, where hardness gradients from the hardened surface to the softer core are profiled to determine effective case depth, typically defined as the distance where hardness drops to 50 HV above the core value.^[6] This method adheres to standards like IS 6416, ensuring precise evaluation of heat treatment efficacy in components requiring wear resistance.^[56] In weld hardness profiling, the test follows ASTM E384 guidelines, employing microindentations across the weld metal, heat-affected zone, and base material to map variations in hardness that could indicate brittleness or cracking risks, with loads selected to avoid substrate influence.^[9] For assessing thin film adhesion, low loads below 50 gf are applied to generate controlled interfacial stresses, where the onset of delamination around the indent reveals adhesion strength without penetrating the substrate significantly. In aerospace applications, the Vickers test verifies the hardness of Ti-6Al-4V alloy components, which typically exhibit values of 300-350 HV in annealed conditions, ensuring compliance with structural integrity requirements for turbine blades and airframes.^[57] Within the automotive sector, it evaluates gear tooth hardness post-case hardening, targeting surface values exceeding 600 HV to confirm durability against fatigue and wear in transmission systems. For microelectromechanical systems (MEMS) devices, nano-Vickers variants apply loads under 1 mN to measure hardness at nanoscale features, preventing damage to delicate structures like sensors and actuators.^[58] Adaptations include instrumented Vickers testing, which records load-depth curves during indentation to derive not only hardness but also elastic modulus via the Oliver-Pharr method, providing insights into viscoelastic behavior from unloading slopes.^[37] High-temperature setups extend measurements to 1000°C using specialized fixtures like heated anvils and inert atmospheres to evaluate creep resistance in superalloys, maintaining indenter stability under thermal expansion.^[59]

Advantages, Limitations, and Comparisons

Benefits and Precautions

The Vickers hardness test offers a wide measurement range, typically from 1 HV to 3000 HV, enabling assessment of materials from soft metals to hard ceramics and coatings.^[60] This versatility stems from adjustable test loads spanning 1 gf (0.001 kgf) to 120 kgf, allowing both micro- and macro-scale evaluations without changing indenters.^[6] Its square pyramidal diamond indenter produces small, precise indentations, making it particularly suitable for thin sections under 0.1 mm thick, such as coatings or small components, where it minimizes substrate influence and provides reliable depth profiling.^[11] The simple geometry ensures consistent results across operators and machines, as hardness calculations depend solely on indentation diagonals rather than indenter size.^[60] For macro tests with higher loads, the method remains effectively non-destructive, leaving indentations too small to compromise structural integrity in most applications.^[6] Precautions are essential to maintain accuracy, starting with ensuring the test surface is perpendicular to the indenter axis, with tilt limited to less than 1° to prevent distorted indentations.^[61] At low loads (below 1 kgf), the indentation size effect (ISE) can cause apparent hardness increases due to surface effects; mitigation involves using higher loads where possible or applying correction models based on load-depth relationships.^[62] Samples must meet a minimum thickness of at least 1.5 times the indentation diagonal (per ISO 6507) to avoid anvil effects or backside deformation, with ASTM E384 recommending 10 times the indentation depth for micro tests.^[6] Environmental controls, including stable temperatures with variations not exceeding 5°C and minimal vibration, are required to stabilize the testing machine and prevent load fluctuations.^[7] Common error sources include operator mismeasurement of diagonals, necessitating optical systems with ±0.5 μm resolution for micro-scale accuracy, and indenter wear, which demands calibration every 100 tests or upon detecting edge chipping.^[63] The test excels over Rockwell methods for micro-scale applications due to its finer resolution and adaptability to thin or coated samples.^[60] Automation advancements, including AI-driven image analysis, have reduced measurement variability to under 1% by automating diagonal detection and flagging anomalies in real-time.^[64] The durable diamond indenter's longevity—lasting thousands of cycles—supports sustainability through minimal replacement and low material waste.^[65]

Comparisons with Other Tests

The Vickers hardness test differs from the Brinell test primarily in the indenter material and indentation size. While the Brinell method employs a hardened steel or carbide ball that can deform under high loads on harder materials, the Vickers test uses a square-based diamond pyramid indenter, which resists deformation and produces consistent results across a broader range of material hardness.^[24] This diamond indenter also creates smaller indentations, making Vickers suitable for thinner samples or regions where larger Brinell indents (typically 2-6 mm in diameter) would be impractical.^[66] The Vickers hardness value (HV) is calculated from the diagonal of the square indent, contrasting with Brinell's use of indentation diameter, and conversion between the scales (HB and HV) is facilitated by standardized tables; for values below 450, HB approximates HV within a few units.^[67] In comparison to the Rockwell hardness test, Vickers relies on optical measurement of indentation size after load removal, whereas Rockwell directly measures the permanent depth of indentation under minor and major loads, enabling faster testing without microscopy.^[68] This optical approach gives Vickers an edge in microhardness applications and for detecting hardness gradients in materials like coatings or case-hardened parts, where Rockwell's depth-based method may lack sufficient resolution.^[24] Rockwell is preferred in high-volume production settings for its speed, but it offers multiple scales (e.g., HRC for harder steels) tailored to material types, reducing versatility compared to the unified HV scale; conversions between HRC and HV are approximate and material-dependent per ASTM guidelines.^[67] The Vickers and Knoop tests both serve microhardness needs with diamond indenters, but Knoop uses an elongated rhombus-shaped pyramid to produce a shallow, rectangular indent, which is advantageous for assessing anisotropic materials like thin films or composites where directional properties matter.^[4] Vickers assumes more isotropic behavior due to its square indent geometry, yielding a hardness value less sensitive to orientation but potentially less precise in highly anisotropic cases; studies show Knoop values are generally lower than Vickers for hard ceramics at equivalent loads.^[69] A distinctive feature of the Vickers method is its single HV scale that spans macro- and microindentation regimes, from loads of 1-120 kgf for bulk materials to under 1 kgf for microstructures, unlike Rockwell's array of scales or Brinell's load-specific adjustments.^[70] This unification simplifies comparisons and conversions to SI units (e.g., HV in MPa via multiplication by 9.80665), which is more straightforward than Brinell's HB scale due to the latter's variable ball sizes.^[67] For nanoscale applications, Vickers contrasts with nanoindentation techniques using a Berkovich tip, a three-sided pyramid equivalent in projected area-to-depth ratio to the Vickers indenter but designed for loads below 200 mN to probe thin films or surface layers without substrate effects.^[27] While traditional Vickers excels in standard micro-to-macro ranges, nanoindentation with Berkovich provides higher spatial resolution for hardness mapping in advanced materials like nanomaterials, though both methods correlate well for bulk equivalents due to geometric similarity.^[71]

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Vickers Hardness Testing - an overview | ScienceDirect Topics
Vickers hardness testing is carried out to standards such as ASTM E384 or ISO 6507 which has four parts describing the test itself, calibration and hardness ...
[21]
https://www.sciencedirect.com/topics/engineering/vickers-hardness-testing
[22]
Microindentation Hardness Testing - metallography.com
The Vickers hardness number is calculated based on the surface area of the indent. The ideal d / D ratio (d = impression diameter, D = ball diameter) for a ...Missing: paper | Show results with:paper
[23]
Automatic Method for Vickers Hardness Estimation by Image ... - NIH
Dec 30, 2022 · One method of determining quality is the Vickers hardness test, in which the resistance to plastic deformation at the surface of the material ...
[24]
Material Hardness - University of Maryland
The indenter may either be a steel ball of some specified diameter or a spherical diamond-tipped cone of 120° angle and 0.2 mm tip radius, called Brale. The ...
[25]
A Three-Dimensional Elastic-Plastic Contact Analysis of Vickers ...
Three-dimensional finite element-based numerical analysis of Vickers indenter hardness test was conducted to investigate the effect of frictional conditions ...
[26]
[PDF] Elastic, Plastic, Cracking Aspects of the Hardness of Materials
Emphasis is placed on the hardness test being a useful probe for determining the local elastic, plastic, and cracking properties of single crystal, ...
[27]
[PDF] Nanoindentation
The hardness is found by dividing the load by the area of contact. Shape of the unloading curve provides a measure of elastic modulus. Anthony C. Fischer-Cripps ...<|control11|><|separator|>
[28]
[PDF] THE MECHANICS OF SIZE!DEPENDENT INDENTATION
Indentation tests at scales on the order of one micron have shown that measured hardness increases signi_cantly with decreasing indent size\ a trend at odds ...
[29]
[PDF] Effect of Quantitative Textural Specifications on Vickers Hardness of ...
Jan 1, 2023 · Experimental equations were developed and the results showed that Vickers indentation hardness was strongly influenced by textural properties.
[30]
Load-Independent Hardness and Indentation Size Effect in Iron ...
The first attempt to describe the dependence of the indentation load and average measured Vickers indentation diagonal is known as Meyer's law. This ...
[31]
Microhardness, Indentation Size Effect and Real Hardness of ... - NIH
When Meyer index is equal to 2, Kick law can be applied to pyramid- and cone-shaped hardness indenters, making the hardness independent of the indentation load ...
[32]
Vickers hardness testing: ISO 6507, ASTM E384 - ZwickRoell
The recommended Vickers hardness range can be found in the standard (ISO 6507) and standard ASTM E384. Depending on the test force and specimen material used, ...
[33]
Hardness testing software | Struers.com
Engineered to simplify and automate the most complicated hardness testing requirements across industries in the hardness testing field with all simplicity.
[34]
https://www.bergeng.com/mm5/downloads/kb/hardnessappguide.pdf
[35]
[PDF] MICROINDENTATION HARDNESS
The measurement ofVickers hardness provides a Vickers hardness number ... 2 sin 68° XL d2. 1.8544 xL d2. 1854.4 X L d2 g /. 2 (the normal units employed).Missing: constant | Show results with:constant
[36]
Vickers Vickers test procedure - Theory of the hardness test
The Vickers hardness test is an optical measuring method in which the hardness is determined by the size of the permanent indentation.
[37]
[PDF] An improved technique for determining hardness and elastic ... - MIT
An analysis technique is presented that accounts for the curvature in the unloading data and provides a physically justifiable procedure for determining the ...
[38]
Calculator for Conversion between Vickers Hardness Number and ...
To convert a Vickers hardness number the force applied needs converting from kgf to newtons and the area needs converting from mm 2 to m 2 to give results in ...Missing: exact | Show results with:exact
[39]
ISO 6507-1:2023 - Metallic materials — Vickers hardness test — Part 1
In stock 2–5 day deliveryThis document specifies the Vickers hardness test method for the three different ranges of test force for metallic materials.
[40]
[PDF] JCGM 100:2008 (GUM 1995 with minor corrections - BIPM
combined standard uncertainty or expanded uncertainty of a measurement result because all uncertainty components, however they are evaluated, are treated in ...
[41]
A Benchmark for Automated Vickers Hardness Testing - ResearchGate
Sep 4, 2025 · A method based on convolutional neural networks (CNN) was proposed for robust automated measurement of Vickers hardness. Vickers hardness ...
[42]
ISO 14577-1:2015 - Metallic materials — Instrumented indentation ...
In stock 2–5 day deliveryISO 14577-1:2015 specifies the method of instrumented indentation test for determination of hardness and other materials parameters for the following three ...
[43]
[PDF] Correlation of Yield Strength and Tensile Strength with Hardness for ...
Both the yield strength and tensile strength of the steels exhibited a linear correlation with the hardness over the entire range of strength values. Empirical ...
[44]
https://www.sciencedirect.com/science/article/abs/pii/S0921509315001665
[45]
Hardness–strength relationships in the aluminum alloy 7010
Apr 17, 2015 · The relationship between Vickers hardness, yield stress and tensile strength was analyzed by combining data from two independent studies ...
[46]
https://www.sciencedirect.com/science/article/abs/pii/S0022311504007287
[47]
The relationship between hardness and yield stress in irradiated ...
In ferritic steels, the correlation factor between change in yield stress and change in hardness was found to be 3.06. The similarity in correlation factors for ...
[48]
[PDF] The contributions of David Tabor to the science of indentation ...
Tabor's book The Hardness of Metals, published in 1951, has had a major influence on the subject of indentation hardness and is by far the most widely cited ...
[49]
The Hardness of Additively Manufactured Alloys - PMC - NIH
It is expected that hardness will decrease with increases in linear heat input due to more heat accumulation, larger grain sizes and microstructural coarsening.
[50]
Vickers Hardness Testing solutions
Application of Vickers hardness testing · Ferrous and non-ferrous metals · Heat-treated steels and surface-hardened materials · Ceramics, glass and composites ...
[51]
Vickers Hardness Testing - NEWAGE Hardness Testers
The Vickers hardness test method, also referred to as a microhardness test method, is mostly used for small parts, thin sections, or case depth work.
[52]
Mechanical Properties of CVD Diamond
We have summarized the main properties of CVD diamond in our "CVD diamond booklet". Vickers hardness. 10.000 kg/mm2. Young´s Modulus. 1050 GPa. Thermal ...
[53]
Manufacturing: Appendix I Table of hardness values | OpenLearn
Table 3: Typical Vickers hardness numbers for selected materials. Metals, Vickers hardness number (HV) range from soft to hard, Ceramics, Vickers hardness ...Missing: suitable | Show results with:suitable
[54]
Biaxial Flexural Strength and Vickers Hardness of 3D-Printed ... - MDPI
This study compares the mechanical properties of 5-mol% yttria partially stabilized zirconia (5Y-PSZ) materials, designed for 3D printing or milling.
[55]
Role of Vickers Hardness Testing in Material Quality Control
**Summary of Real-World Applications in Industries:**
[56]
Optimization of Laser-Welded Cu-Al Joints for Electric Vehicle ...
Oct 3, 2025 · 3.3 Vickers Hardness and Tear Test ... Hardness measurements were collected in different areas across the welded zone. Fig. 7 shows a micrograph ...
[57]
[PDF] IS 6416 (1988): Methods for Measuring Case Depth of Steel
This standard prescribes four methods for the measurement of case depth of steels. The hardness method is the most suitable and shall be the reference method.
[58]
Titanium Ti-6Al-4V (Grade 5), Annealed - ASM Material Data Sheet
Titanium Ti-6Al-4V (Grade 5), Annealed ; Hardness, Vickers, 349, 349, Estimated from Rockwell C. ; Tensile Strength, Ultimate, 950 MPa, 138000 psi ; Tensile ...Missing: HV 300-350
[59]
Mechanical Testing - Nanoscience Instruments
The Vickers hardness test uses a Vickers indenter pressed into a surface to a specified force. The force is usually held for 10 seconds. After the indentation ...Missing: MEMS mN
[60]
High Temperature Hardness Tester - ST Instruments
The Hot Hardness Tester is eligible to measure Rockwell and Vickers hardness in a temperature range RT to 1200°C.
[61]
The effect of primer cap material on ballistic toolmark evidence
This effect of material hardness means studies into whether or not toolmarks imparted on varying primer cap materials can be successfully correlated against ...
[62]
[PDF] A Guide to Selecting the Right Hardness Testing Method - ZwickRoell
The Vickers hardness testing method offers advantages such as a small indentation size, accurate hardness measurements, and applicability to a wide range of ...Missing: benefits | Show results with:benefits
[63]
[PDF] Vickers and Knoop Reference Guide - NDT Supply
The plane of the surface of the test specimen should be perpendicular to the axis of the indenter which is the direction of the force application. The ...
[64]
Indentation Size Effect of the Vickers Indentation to Improve the ...
Study the indentation size effect (ISE) it is known that an increase in hardness with increasing indentation size, especially in the in the micro hardness depth.
[65]
https://www.researchgate.net/publication/364746146_Vickers_Hardness_Value_Test_via_Multi-Task_Learning_Convolutional_Neural_Networks_and_Image_Augmentation
[66]
Common Problems in Microhardness Testing
Vickers Hardness Testing ... It takes approximately 30 seconds for an instrument to make an impression, considering ASTM E384 standard dwell time of 15 seconds.
[67]
A new algorithm to detect small indentations up to 10 gf, optimizing ...
May 27, 2025 · The proposed algorithm applied to the 60 images presents a relative error of less than 1% compared to the results obtained by a conventional ...
[68]
(PDF) Vickers Hardness Value Test via Multi-Task Learning ...
Oct 13, 2025 · This approach not only increases accuracy but also minimizes operator dependency, reducing errors associated with manual measurement [25] .
[69]
https://scholarworks.indianapolis.iu.edu/bitstream/handle/1805/13859/Lippert_2014_comparison.pdf?isAllowed=y&sequence=1
[70]
[PDF] Hardness - C
Vickers hardness test requires a diamond pyramid indenter with an included angle of 136°. This technique is also called a diamond pyramid hardness test (DPH) ...
[71]
Standard Hardness Conversion Tables for Metals Relationship ...
May 7, 2019 · 1.8 Conversion Table 8 presents data on the relationship among Brinell hardness, Rockwell hardness, and Vickers hardness of alloyed white iron.
[72]
[PDF] Rockwell Hardness Measurement of Metallic Materials - GovInfo
Table 1 lists the typical types of materials that are suitable for testing on each of the thirty Rockwell hardness scales. When deciding on an appropriate.<|control11|><|separator|>
[73]
[PDF] Comparison of Knoop and Vickers Surface Microhardness and ...
This perhaps explains the subtle differences in ILbase between human and bovine enamel when measured with either Knoop or Vickers indenters (Table 1), which.
[74]
Definitions and Representation Methods for Brinell, Rockwell ...
The average diagonal length is used to calculate the Vickers hardness number (HV) via a formula or conversion table. Characteristics: Unified Scale: A key ...Missing: micro | Show results with:micro
[75]
[PDF] Correlations between nanoindentation hardness and macroscopic ...
Jan 6, 2014 · The m/f hardness ratio for all steels in this study ranged between 1.8 and 2.6, and Vickers hardness data ranged from 290 to 336 VHN in Table 2.