Topics in Finite Elasticity

Morton E. Gurtin (Autor)

Buch | Softcover

63 Seiten

1987
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-0-89871-168-4 (ISBN)

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Pesents 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. It is intended for engineers, physicists, and mathematicians.

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.

Erscheint lt. Verlag	28.2.1987
Reihe/Serie	CBMS-NSF Regional Conference Series in Applied Mathematics
Verlagsort	New York
Sprache	englisch
Maße	151 x 228 mm
Gewicht	131 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Mechanik
ISBN-10	0-89871-168-1 / 0898711681
ISBN-13	978-0-89871-168-4 / 9780898711684
Zustand	Neuware