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Elastic

Elastic is an adjective describing the property of returning to an original shape after deformation. It may also refer to:
  • [[Elasticity (physics)]], the measure of an object's or material's resistance to permanent deformation (see [[#Scientific and Technical Meanings|Scientific and Technical Meanings]])
  • [[Price elasticity of demand]] and [[Price elasticity of supply]], concepts in economics measuring responsiveness to price changes (see [[#Economic Concepts|Economic Concepts]])
  • A flexible fabric or band used in clothing and other products (see [[#Everyday and Industrial Uses|Everyday and Industrial Uses]])
  • [[Elastic N.V.]], a multinational technology company specializing in search and analytics software (see [[#Proper Names and Brands|Proper Names and Brands]])
No, wait, instructions say no wikilinks. So adjust. Elastic is an adjective that may refer to: This keeps a brief mention of the company without duplication.

Scientific and Technical Meanings

Elasticity in Physics

Elasticity in physics refers to the property of a that allows it to undergo deformation under applied and subsequently return to its original shape and size once the is removed, distinguishing it from plastic deformation where permanent changes occur. This reversible behavior is fundamental to understanding how solids respond to mechanical forces, enabling applications in structures and devices that require . The concept assumes small deformations where the material's response remains linear, a key assumption in classical elasticity theory. A foundational principle is , which states that the restoring force F exerted by an elastic object, such as a , is directly proportional to the x from its position and acts in the opposite direction:
F = -k x
where k is the spring constant, a measure of the object's . This law derives from the assumption of , where is proportional to within the elastic regime, allowing the force-displacement relationship to be modeled as a straight line on a . For continuous materials, generalizes to relate and tensors, but the simple form applies to uniaxial deformations like stretching.
Stress \sigma is defined as the force F per unit cross-sectional area A:
\sigma = \frac{F}{A}
while strain \epsilon quantifies the relative deformation as the change in length \Delta L divided by the original length L:
\epsilon = \frac{\Delta L}{L}
Young's modulus E, a material-specific constant, relates them in tension or compression via E = \frac{\sigma}{\epsilon}, indicating stiffness; higher values mean less deformation under the same stress. Poisson's ratio \nu describes lateral contraction during axial extension:
\nu = -\frac{\epsilon_{\text{lateral}}}{\epsilon_{\text{axial}}}
with typical values around 0.3 for metals, reflecting the material's incompressibility. Elastic potential energy stored during deformation, for a spring, is given by
U = \frac{1}{2} k x^2
representing the work done to deform the object, which is recoverable upon release. These behaviors hold up to the elastic limit, the maximum stress beyond which deformation becomes permanent, often coinciding with the yield point where nonlinearity begins and plastic flow initiates.

Elastic Materials and Properties

Elastic materials, particularly elastomers, are polymers renowned for their ability to undergo large deformations and return to their original shape. , composed primarily of , exemplifies this class, exhibiting exceptional elasticity due to its long, coiled polymer chains that straighten under stress and recoil upon release. Synthetic elastomers, such as (polychloroprene), mimic and often enhance these properties through tailored chemical structures, providing resistance to oils and weathering while maintaining high extensibility. The superior elasticity of elastomers arises from cross-linked molecular chains, which prevent permanent and enable reversible deformation up to several hundred percent . This cross-linking, often achieved via , transforms viscous polymers into resilient materials suitable for demanding applications. Elastic materials are classified based on their deformation response and recovery characteristics. Ideal elastic materials demonstrate perfect recovery, where is instantaneously proportional to and fully reversible without energy loss, adhering closely to principles like in the linear regime. Viscoelastic materials, in contrast, exhibit time-dependent behavior, combining elastic recovery with viscous flow, leading to phenomena like and over time. Anisotropic elastic materials display direction-dependent properties, with elastic moduli varying along different axes due to internal structures like fiber alignments, unlike isotropic counterparts. Key properties quantify the elastic response under various deformations. The bulk modulus K, defined as K = -V \frac{\Delta P}{\Delta V}, measures resistance to uniform volumetric compression, where V is the initial volume, \Delta P is the pressure change, and \Delta V is the volume change; high values indicate incompressibility, as seen in rubbers. The G characterizes resistance to deformation, representing the ratio of to , and is crucial for understanding twisting or sliding responses in materials like elastomers. Temperature profoundly influences elastic properties, particularly through the glass transition temperature (T_g), below which polymers shift from rubbery to glassy states, becoming brittle and losing elasticity. For , T_g ranges from -72°C to -55°C, causing stiffening and reduced flexibility at low temperatures, such as below -70°C, which limits its use in cold environments without modifiers. and represent practical limitations in elastic materials under cyclic loading. occurs as energy dissipation during loading-unloading cycles, where the stress-strain path forms a , and the area enclosed quantifies the lost as due to internal . In , repeated cycles lead to progressive degradation, with hysteresis area serving as a for loss and predicting lifespan in applications like or tires. The understanding of traces to the early , with Thomas Hancock's innovations in the 1820s enabling practical exploitation through his masticator device, which processed raw rubber into usable forms and revealed its elastic potential for industrial applications.

Economic Concepts

Elasticity of Demand and Supply

In , elasticity of demand and supply measures the responsiveness of the quantity demanded or supplied to changes in price. The (ε_d) is defined as the percentage change in quantity demanded divided by the percentage change in price, expressed by the formula: \varepsilon_d = \frac{\% \Delta Q_d}{\% \Delta P} where %ΔQ_d is the change in demanded and %ΔP is the change in . Similarly, the (ε_s) uses the same structure, substituting the change in supplied for the numerator: \varepsilon_s = \frac{\% \Delta Q_s}{\% \Delta P} This metric helps economists assess how markets react to price fluctuations, such as those from taxes or subsidies. Price elasticity of demand is categorized based on its : elastic if greater than 1 (quantity demanded changes more than proportionally to price, indicating sensitivity), inelastic if less than 1 (quantity changes less than proportionally, showing insensitivity), and unit elastic if equal to 1 (proportional changes). For instance, necessities like insulin exhibit inelastic because consumers continue purchasing despite price increases, whereas items like meals show elastic as buyers reduce consumption readily when prices rise. like are typically inelastic due to their nature and lack of substitutes, while vacations are elastic as consumers can forgo them amid price hikes. Price elasticity of supply follows analogous categories but depends on producers' ability to adjust output. It is often inelastic in the short term for goods like agricultural products, where factors such as fixed or seasonal constraints limit rapid increases in supply despite higher prices; over longer periods, supply becomes more elastic as firms can invest in . Production flexibility, including access to inputs and , primarily influences this responsiveness. For finite price changes, economists use the formula to avoid bias from the direction of change, calculating: \varepsilon = \frac{(Q_2 - Q_1)/((Q_2 + Q_1)/2)}{(P_2 - P_1)/((P_2 + P_1)/2)} This averages the initial and final values for both quantity and price, providing a symmetric measure across two points on the curve. Key determinants of include the availability of substitutes (more substitutes lead to greater elasticity), the (demand is more elastic in the long run as alternatives emerge), and the proportion of spent on the good (larger shares, like , tend to be more elastic). These factors explain variations across goods and markets. The concept of elasticity was formalized by in his 1890 book Principles of Economics, where he introduced it as a tool to analyze demand responsiveness, drawing an analogy to physical elasticity but applied to economic variables.

Measurement and Applications in Economics

In , measures the responsiveness of the quantity demanded of a good to changes in consumer , calculated as the percentage change in quantity demanded divided by the percentage change in : \epsilon_i = \frac{\% \Delta Q_d}{\% \Delta I}. For normal goods, this elasticity is positive, indicating that demand increases as rises; exhibit values greater than 1, such as travel where higher incomes lead to proportionally larger increases. In contrast, inferior goods have negative income elasticities, as seen with used clothing, where rising incomes shift demand toward higher-quality alternatives. Cross-price elasticity of demand assesses how the quantity demanded of one good responds to a change in another good, given by \epsilon_{xy} = \frac{\% \Delta Q_x}{\% \Delta P_y}. Positive values indicate substitute goods, such as and , where a increase for one boosts for the other. Negative values signal complements, like and cream, where a rise for one reduces for the other. These elasticities inform key economic applications, particularly in and . In , the burden of a tax falls more heavily on the side of the market with lower elasticity; for inelastic like necessities, es tend to be regressive, as consumers absorb most of the cost rather than reducing consumption significantly. Businesses leverage elasticity for , setting higher markups on with inelastic —for instance, if the price elasticity is -1.5, the optimal markup over can reach 200% to maximize profits. In , the elasticity of exports, which measures volume response to price or changes, influences balances; under the Marshall-Lerner condition, if the sum of export and import elasticities exceeds 1 in , improves the position. Empirical estimation of elasticities often employs on economic data, such as log-log models where the coefficient on the logged independent variable yields the elasticity—for example, a using U.S. time-series data estimated the short-run price elasticity of demand at approximately -0.21 to -0.34 for 1975-1980 and -0.03 to -0.08 for 2001-2006, illustrating varying degrees of immediate responsiveness over time. These methods draw from datasets like surveys or figures to quantify behavioral responses. A notable policy application arose during the 1970s oil crises, where short-run inelasticity in demand—exacerbated by —led to widespread shortages, as consumers could not quickly adjust habits despite supply disruptions from embargoes. This underscored the risks of ignoring elasticity in , prompting shifts toward market-based pricing to encourage conservation over time.

Everyday and Industrial Uses

Elastic in Textiles and Garments

Elastic in textiles refers to narrow fabric bands composed of rubber threads encased in a covering of knitted , typically ranging in width from 1/8 inch to 3 inches. These bands provide stretch and recovery, enabling garments to fit comfortably around the body while allowing movement. Common coverings include , , or yarns, which protect the rubber core from abrasion and environmental damage. Several types of elastic are used in garments, each suited to specific applications based on stretch properties and durability. Braided elastic, made by braiding around a rubber core, narrows slightly when stretched and excels at gathering fabric, making it ideal for waistbands and cuffs. Knitted elastic offers greater stretch and recovery due to its looped construction, providing a softer feel without narrowing, which is preferred for leg openings and activewear. Woven elastic, constructed with a more rigid weave, provides less stretch but maintains its width under tension and resists rolling, offering durability for heavy-use items like belts or supportive undergarments. The manufacturing process begins with core-spun yarn, where rubber filaments—typically or —are extruded and then wrapped or covered by , braiding, or with outer yarns such as or . This creates a balanced structure that combines the elasticity of the core with the protective and aesthetic qualities of the covering. The material is then heat-set through or controlled heating to fix its dimensions, enhance after , and prevent excessive shrinkage during use. Production often occurs on specialized machines that ensure uniform , with the final product rolled into continuous lengths for integration. Elastic was introduced to garments in the 1820s, when English inventor Thomas Hancock developed processes to produce elastic straps and fibers from , initially for waistbands and . This innovation replaced rigid fastenings, improving fit and comfort in clothing. Over time, advancements like Charles Goodyear's 1839 process enhanced rubber's durability, while 20th-century synthetics such as expanded its use into modern activewear for enhanced mobility. Proper care is essential to maintain elastic's performance, as exposure to can degrade the rubber core and reduce stretch. Garments with elastic should be washed in cold on a gentle cycle, ideally in a bag to avoid overstretching, and air-dried in the shade rather than tumble-dried to preserve elasticity. Avoid , harsh detergents, and , which can weaken the fibers. Elastic may shrink if not pre-shrunk during or if subjected to high , potentially altering garment fit, while repeated hot washing accelerates loss of recovery properties. Following care labels helps mitigate these limitations and extends the lifespan of elastic components in textiles.

Elastic Components in Products

Elastic components are integral to a wide array of and products, providing stretch, , and secure fastening through their ability to deform and return to original shape. These elements, often made from natural or , enable practical functionalities like , , and in everyday items. Rubber bands, simple loops of vulcanized rubber, serve as versatile tools for and securing objects in , and applications. They come in standardized sizes with varying thicknesses and strengths to suit different loads; for instance, size #64 rubber bands measure 3-1/2 inches by 1/4 inch and offer heavy-duty performance with up to 700% for robust bundling tasks. Bungee cords, consisting of braided elastic cores encased in a protective with metal or hooks at each end, are widely used to secure loads on , trailers, and without knots. Their design allows for significant stretch, enabling shock absorption during transport, which helps dampen vibrations and prevent shifting of items like tarps or equipment. Beyond these, elastic components appear in personal accessories such as hair ties and ponytail holders, which are small loops that securely gather and hold without slippage due to their high elasticity. Elastic straps integrated into luggage systems provide adjustable to connect bags or prevent contents from shifting during for secure handling. In recreational contexts, elastic loops form the basis of games like , where long, stretchy bands—typically 16 feet or more—are used by players to create patterns for jumping exercises that enhance coordination. In industrial settings, elastic materials contribute to systems in and machinery, where rubber springs or mounts absorb impacts and isolate for smoother operation. Similarly, elastomeric and in prevent leaks, maintain , and protect against contaminants in applications like hydraulic systems and engines. Safety is paramount with elastic components, as their breaking strength—often rated with a safety factor of at least 5 for bungee cords—must exceed applied loads to avoid sudden . Over time, exposure to (UV) radiation can cause degradation in variants, leading to reduced elasticity, cracking, and potential breakage, necessitating regular inspection and replacement for prolonged use.

Proper Names and Brands

Elastic N.V. Company Overview

is a multinational software company specializing in search and analytics technologies, founded in 2012 in , , by Shay Banon. The company was established to commercialize , an open-source search engine that Banon had initially developed in 2010 as a personal project to power search functionality for his wife's cooking website. In 2014, Elastic established its principal executive offices in , to better access the U.S. technology ecosystem and talent pool, while maintaining its legal headquarters in and a significant presence in . Elastic operates on a , offering its core software products as open-source downloads for free while generating through enterprise-grade subscriptions that provide advanced features, support, and cloud-hosted services. This approach has driven substantial growth, with the company's 2023 revenue reaching $1.07 billion, marking a 24% increase from the previous year and reflecting strong adoption in sectors like , , and search. Key milestones include the pre-company launch of in 2010, which laid the foundation for the broader Elastic , and the company's (IPO) on the in October 2018 under the ESTC, raising $252 million. By 2025, Elastic has expanded its offerings to emphasize cloud-native solutions, enabling scalable deployment across hybrid and multi-cloud environments. For 2025, Elastic reported of approximately $1.66 billion (midpoint of guidance), continuing strong growth. As of fiscal year 2024, Elastic employs 3,187 people across more than 35 countries, with a diverse workforce supporting global operations and innovation in areas like integration for search. The company has faced notable controversies, particularly in when it changed the licensing of and from the Apache 2.0 to the (SSPL) and its proprietary Elastic , citing concerns over large cloud providers offering without contributing back to the open-source . This shift aimed to protect the project's but drew criticism from some in the open-source for potentially limiting adoption.

Key Products and Technologies

Elastic N.V.'s flagship product is , an open-source distributed search and analytics engine built on . It enables capabilities, including fuzzy, semantic, and precise queries with filters, ranking, and reranking for , while supporting aggregations to transform high-cardinality instantly. Designed for , operates from single laptops to clusters of hundreds of nodes, handling petabytes of in on-premises, cloud, or serverless environments, making it suitable for applications in product discovery, AI-driven search, log analytics, and (SIEM). The Elastic Stack, commonly known as the ELK Stack, integrates with complementary tools for comprehensive data pipelines. Logstash serves as a that collects, transforms, and enriches logs and events before into , centralizing disparate data sources for . provides an extensible interface for creating dashboards, charts, and time-series explorations, enabling users to query and report on data stored in . Lightweight agents called Beats further enhance the stack by shipping data from endpoints, servers, and applications directly to Logstash or , supporting use cases in logging, monitoring, and analytics across IT operations. Elastic offers enterprise-grade extensions built on the core stack, including solutions for and . Elastic Security delivers AI-driven next-generation SIEM, (XDR), and endpoint protection, unifying threat detection, investigation, and response across endpoints, cloud environments like AWS, , and Google Cloud, and ecosystems with cross-domain correlation and automated . For , Elastic APM (Application Performance Monitoring) leverages OpenTelemetry for tracing application performance without proprietary agents, complemented by monitoring for 400+ integrations, log analytics with ES|QL querying, and AIOps for and to optimize digital experiences and reduce costs by up to 65% through data techniques. Deployment options include self-managed installations for customized control over updates and scaling, alongside Elastic Cloud, a fully managed service available in over 50 regions on AWS, , and , with serverless options that automate sharding and upgrades under a 99.95% uptime . These integrate seamlessly with major cloud providers, allowing hybrid or multi-cloud setups. Elasticsearch and the Elastic Stack have seen widespread adoption, powering real-time insights at scale for companies like , which deploys hundreds of clusters for log analysis and recommendations, and for monitoring and search functionalities. The technology holds a leading position in the market, with Elasticsearch capturing approximately 32% share in hosted search solutions and ranking among the top 10 most popular databases globally.

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