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9780898711684 Academic Inspection Copy

Topics in Finite Elasticity

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Finite elasticity is a theory of elastic materials that are capable of undergoing large deformations. This theory is inherently nonlinear and is mathematically quite complex. This monograph presents a derivation of the basic equations of the theory, a discussion of the general boundary-value problems, and a treatment of several interesting and important special topics such as simple shear, uniqueness, the tensile deformations of a cube, and antiplane shear. The monograph is intended for engineers, physicists, and mathematicians.
Kinematics: Stress Elastic Materials, Change of Observer Material Symmetry Simple Shear The Piola-Kirchhoff Stress Hyperelasticity The Elasticity Tensor The Boundary-Value Problem Variational Formulational Stability and Uniqueness Incompressible Materials Deformations of a Cube Anti-Plane Shear.
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