ROTATIONS WHICH MAKE STRAIN AND STRESS COAXIAL

Citation
C. Sgarra et M. Vianello, ROTATIONS WHICH MAKE STRAIN AND STRESS COAXIAL, Journal of elasticity, 47(3), 1997, pp. 217-224
Citations number
13
Journal title
ISSN journal
03743535
Volume
47
Issue
3
Year of publication
1997
Pages
217 - 224
Database
ISI
SICI code
0374-3535(1997)47:3<217:RWMSAS>2.0.ZU;2-1
Abstract
At a material point of a hyperelastic anisotropic body the strain and the stress tensors do not share, in general, a common basis of proper vectors. It is shown that there are at least three rotations which, wh en applied to the reference configuration before a given deformation, yield a pair of coaxial strain and stress tensors. This is an improvem ent on a previous result, which showed such rotations to be no fewer t han two. The proof is based on the application of Milnor's theorem fro m differential topology.