Can a linear anisotropic elastic material have a uniform contraction undera uniform pressure?

Authors
Citation
Tct. Ting, Can a linear anisotropic elastic material have a uniform contraction undera uniform pressure?, MATH MECH S, 6(3), 2001, pp. 235-243
Citations number
9
Categorie Soggetti
Mechanical Engineering
Journal title
MATHEMATICS AND MECHANICS OF SOLIDS
ISSN journal
10812865 → ACNP
Volume
6
Issue
3
Year of publication
2001
Pages
235 - 243
Database
ISI
SICI code
1081-2865(200106)6:3<235:CALAEM>2.0.ZU;2-3
Abstract
When a linear isotropic elastic material is under a uniform pressure, it pr oduces a uniform contraction. If the material is anisotropic, it in general does not produce a uniform contraction except for a cubic material. We wil l show that there are special linear anisotropic elastic materials other th an cubic materials for which a uniform contraction is possible under a unif orm pressure. The material can be any one of the eight crystal groups. It m eans that the material can be monoclinic, orthotropic, trigonal, tetragonal , transversely isotropic, and, of course, cubic or isotropic. It can also b e triclinic; that is, the material need not possess a plane of symmetry.