3. Constitutive Equations

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Understand basic stress-strain response of engineering materials.
Quantify the linear elastic stress-strain response in terms of tensorial quantities and in particular the fourth-order elasticity or stiffness tensor describing Hooke's Law.
Understand the relation between internal material symmetries and macroscopic anisotropy, as well as the implications on the structure of the stiffness tensor.
Quantify the response of anisotropic materials in with loading aligned as well as rotated with respect to the material principal axes with emphasis on orthotropic and transversely-isotropic materials.
Understand the nature of temperature effects as a source of thermal expansion strains.
Quantify the full linear elastic stress and strain tensors from experimental strain-gage measurements.
Quantify the full linear elastic stress and strain tensors resulting from special material loading conditions.