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Topics of Finite ElasticityTopics of Finite Elasticity

Morton E. Gurtin



CBMS-NSF Regional Conference Series in Applied Mathematics 35

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.

Contents

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.

1981 / v + 58 pages / Softcover / ISBN-13: 978-0-898711-68-4 / ISBN-10: 0-89871-168-1 /
List Price $38.00 / SIAM/CBMS Member Price $26.60/ Order Code CB35
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