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Topics in Finite Elasticity

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by Morton E. Gurtin


1981 / v + 58 pages / Softcover / ISBN: 978-0-898711-68-4 / List Price $44.00 / SIAM/CBMS Member Price $30.80 / 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. 


ISBN: 9780898711684

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