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Stress And Strain
Linked via "Poisson's Ratio"
Constitutive Relations: The Hookean Ideal
The simplest, yet most widely applied, relationship between stress and strain is provided by Hooke's Law, which describes linear elastic behavior. For an isotropic, homogeneous, linearly elastic material, the relationship is often expressed via Young's Modulus ($E$) and Poisson's Ratio ($\nu$):
$$\sigma = E \varepsilon$$