Universal Relations for Transversely Isotropic Elastic Materials-Reference-Cited by-同舟云学术

Universal Relations for Transversely Isotropic Elastic Materials

Published:2002-08 Issue:4 Volume:7 Page:421-437
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Batra R. C.¹

Affiliation:

1. Department of Engineering Science and Mechanics, M/C 0219, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA

Abstract

We adopt Hayes and Knops’s approach and derive universal relations for finite deformations of a transversely isotropic elastic material. Explicit universal relations are obtained for homogeneous deformations corresponding to triaxial stretches, simple shear, and simultaneous shear and extension. Universal relations are also derived for five families of nonhomogeneous deformations.

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Link

http://journals.sagepub.com/doi/pdf/10.1177/108128028483

Reference11 articles.

1. A class of universal relations in isotropic elasticity theory

2. A class of universal relations for constrained, isotropic elastic materials

3. On universal relations in continuum mechanics

4. A Universal Relation Characterizing Transversely Hemitropic Hyperelastic Materials

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