Topics in finite elasticity / Morton E. Gurtin.

Format:

Book

Author/Creator:

Gurtin, Morton E.

Contributor:

Society for Industrial and Applied Mathematics.

Series:

CBMS-NSF regional conference series in applied mathematics ; 35.

CBMS-NSF regional conference series in applied mathematics ; 35

Language:

English

Subjects (All):

Elasticity.

Physical Description:

1 online resource (58 p. ) ill. ;

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1981.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

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.

Notes:

"Based on a series of lectures delivered at the University of Tennessee in June 1979."

Includes bibliographical references (p. 57-58).

Title from title screen, viewed 04/05/2011.

ISBN:

1-61197-034-2

Publisher Number:

CB35 SIAM