what is linear elasticity?

Linear elasticity can be defined as a mathematical model that describes how solid objects undergo deformation and become internally stressed when loads are applied to them. In a way, linear elasticity can be visualized as a simplification of the (relatively general) non-linear theory of elasticity. Linear elasticity is a branch of continuum mechanics. The assumptions made by the linear elasticity model include the assumption that small deformations and infinitesimal strains feature a linear relationship between the stress component and the strain component. It is important to note that these assumptions can be considered reasonable for most engineering materials and also the engineering design scenarios that feature the use of these materials.

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