Morton E. Gurtin
CBMSNSF 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 boundaryvalue 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 PiolaKirchhoff Stress; Hyperelasticity; The Elasticity Tensor; The BoundaryValue Problem; Variational Formulational Stability and Uniqueness; Incompressible Materials; Deformations of a Cube; AntiPlane Shear.
1981 / v + 58 pages / Softcover / ISBN13: 9780898711684 / ISBN10: 0898711681 / List Price $38.00 / SIAM/CBMS Member Price $26.60/ Order Code CB35
