Abstract
The equilibrium equations derived in Chap. 2 must be connected with the kinematic relations developed in Chap. 3. This coupling is accomplished by considering the mechanical properties of the materials for which the theory of elasticity is to be applied and is expressed by constitutive or material laws. Beginning with the generalized Hooke’s Law, the relationships between stress and strain are progressively reduced to the familiar isotropic form. Several modern characterizations, including transverse isotropic and functionally graded materials, are also considered.
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Gould, P.L. (2013). Material Behavior. In: Introduction to Linear Elasticity. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4833-4_4
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DOI: https://doi.org/10.1007/978-1-4614-4833-4_4
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