The elasticity tensor relates stress to infinitesimal strain by . In conservative linear elasticity, the minor symmetries reflect symmetric stress and strain, while the major symmetry expresses the existence of an elastic energy density.
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The elasticity tensor is a mathematical object used in the field of continuum mechanics to describe the relationship between stress and strain in a material. It characterizes the material's elastic properties, which govern how it deforms under applied forces. The elasticity tensor provides a comprehensive description of how materials respond to stress in various directions and under various loading conditions.