SOME ESTIMATES FOR THE MAXIMUM SHEAR-STRESS IN PLANE, ISOTROPIC ELASTICITY

Authors
ARON M
Citation
M. Aron, SOME ESTIMATES FOR THE MAXIMUM SHEAR-STRESS IN PLANE, ISOTROPIC ELASTICITY, Quarterly of applied mathematics, 52(3), 1994, pp. 545-551
Citations number
19
Categorie Soggetti
Mathematics,Mathematics
Journal title
Quarterly of applied mathematics → ACNP
ISSN journal
0033569X
Volume
52
Issue
3
Year of publication
1994
Pages
545 - 551
Database
ISI
SICI code
0033-569X(1994)52:3<545:SEFTMS>2.0.ZU;2-A
Abstract
Upper and lower bounds for the maximum shear stress in a configuration corresponding to a purely distortional deformation originating from a given undistorted (ground) state are obtained in the framework of pla ne, isotropic, nonlinear elasticity. The bounds are shown to be expres sible in terms of the deformation and the boundary traction that is re quired for maintaining the purely dilatational deformation in the grou nd state.