1981 / v + 58 pages / Softcover / ISBN: 978-0-898711-68-4 / List Price $38.00 / SIAM/CBMS Member Price $26.60/ Order Code CB35
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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