Incremental sheet forming
Incremental sheet forming (ISF) is a flexible, dieless manufacturing process for sheet metals in which a numerically controlled tool, typically a hemispherical or flat-ended indenter, progressively deforms a clamped sheet blank into a desired three-dimensional shape through localized plastic deformation without the need for dedicated forming dies.[1] The process, first patented in 1967, operates by moving the tool along a programmed path—such as spiral, contour, or linear trajectories—applying force in multiple passes to stretch and bend the material incrementally, often achieving wall angles up to 65° or more depending on parameters like tool radius and vertical pitch.[1][2] The primary variants of ISF include single-point incremental forming (SPIF), where the sheet is deformed using a single tool against a fixed backing plate with no additional support, and two-point incremental forming (TPIF), which employs a second tool or partial die to provide support and enable more complex geometries, including re-entrant features.[1][3] Key process parameters influencing outcomes such as formability, thickness distribution, and surface quality encompass tool diameter (typically 5–20 mm), vertical step-down (0.1–2 mm per pass), feed rate (10–40 mm/s), wall angle (up to 73° in some cases), and sheet thickness (0.3–3.2 mm), with deformation mechanics involving a combination of bending, stretching, and through-thickness shear that often exceeds conventional forming limits by up to 200% major strain due to negative triaxiality.[2] Wall thickness is commonly predicted by the sine law (t = t₀ sin β, where β is the wall angle), though actual measurements show deviations of 7–18% influenced by material flow and tool path.[2] ISF offers significant advantages for prototyping and low-volume production, including reduced tooling costs and lead times compared to traditional stamping or deep drawing, as well as applicability to a range of ductile materials like aluminum, copper, titanium, and even sandwich panels (e.g., metal-polymer-metal composites) at room or elevated temperatures.[1][2] It is particularly suited for fabricating complex, asymmetric parts in industries such as aerospace, automotive, and biomedical, where batch sizes are small (up to 2500 units) and customization is required, though limitations persist in achieving high geometric accuracy (±1–3 mm typically), uniform surface finish, and faster cycle times due to sequential deformation and potential issues like springback or cracking at steep angles.[3][2] Ongoing research focuses on enhancements like hybrid heating, vibration-assisted forming, and advanced tool paths to mitigate these challenges and improve formability. As of 2025, recent advances include robot-assisted ISF with AI for real-time monitoring and hybrid techniques such as water jet and electromagnetic forming to improve accuracy and formability.[1][4][5]Fundamentals
Definition and Principles
Incremental sheet forming (ISF) is a flexible sheet metal forming technique that deforms a flat sheet progressively into a desired three-dimensional shape through localized incremental deformations induced by a forming tool, eliminating the need for dedicated dies.[1] This dieless process enables the production of complex geometries directly from a CAD model using CNC-controlled tooling, making it suitable for prototyping and low-volume manufacturing.[6] The fundamental principles of ISF revolve around localized plastic deformation occurring via repeated contacts between the forming tool and the sheet surface, which progressively stretches and shears the material without drawing in additional sheet from the edges.[1] The sheet is rigidly clamped at its periphery on a fixture to prevent slippage, while the tool follows a predefined path that imparts incremental depth steps, leading to cumulative straining and notable strain hardening effects that enhance material strength in the deformed regions.[7] Unlike traditional forming methods, ISF applies no global forces across the entire sheet; instead, deformation is confined to the vicinity of the tool contact, resulting in highly localized stress and strain fields.[8] In terms of key mechanics, the clamped sheet experiences localized thinning and the development of wall angles as the tool exerts downward force, causing plastic flow primarily through membrane stretching and bending at the tool-sheet interface.[1] This results in a characteristic reduction in sheet thickness along the formed walls, governed by the cosine law:t = t_0 \cos \beta
where t is the final thickness, t_0 is the initial thickness, and \beta is the wall angle relative to the horizontal plane.[8] The derivation of this equation stems from a geometric assumption of volume constancy under plane strain conditions: material elements from the initial flat sheet are rotated and stretched to align with the final wall orientation, with the thickness component perpendicular to the wall being the initial thickness projected by \cos \beta, as the meridional arc length preserves the original radial span adjusted for the angle.[8] This law, first proposed by Matsubara, provides a foundational prediction for thinning behavior in ISF and has been experimentally validated across various geometries.[9]