LIE GROUP AND INVARIANT SOLUTIONS OF THE PLANE-STRAIN EQUATIONS OF MOTION OF A NEO-HOOKEAN SOLID

Authors
LEI HC BLUME JA
Citation
Hc. Lei et Ja. Blume, LIE GROUP AND INVARIANT SOLUTIONS OF THE PLANE-STRAIN EQUATIONS OF MOTION OF A NEO-HOOKEAN SOLID, International journal of non-linear mechanics, 31(4), 1996, pp. 465-482
Citations number
24
Categorie Soggetti
Mechanics
Journal title
International journal of non-linear mechanics → ACNP
ISSN journal
00207462
Volume
31
Issue
4
Year of publication
1996
Pages
465 - 482
Database
ISI
SICI code
0020-7462(1996)31:4<465:LGAISO>2.0.ZU;2-M
Abstract
The full Lie group associated with the equations of motion of the neo- Hookean material in plane strain is reported and the invariant solutio ns corresponding to the one- and two-parameter subgroups are studied. Closed form solutions of the non-linear partial differential equations are constructed. Copyright (C) 1996 Elsevier Science Ltd.