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Elastic deformation refers to the ability of a material to return to its original shape and size after an external force is removed. This property is known as elasticity.12

Most solid materials exhibit elastic behavior up to a certain limit, called the elastic limit. Beyond this limit, the material will undergo permanent deformation or fracture. The extent of elastic deformation varies greatly between materials; for instance, steel can be elastically stretched by about 1%, while some rubber materials can be stretched up to 1000%.2

The mathematical description of elastic deformation is a key part of mechanics, particularly in the theory of linear elasticity, which relates stress (force per unit area) to strain (relative deformation). This relationship is often described by Hooke's law.23

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