Two New Universal Relations in Nonlinear Elasticity and Some Related Matters

Autor:	M. Aron, S. Aizicovici
Rok vydání:	1994
Předmět:	Stress (mechanics) Pure mathematics Mean stress Deformation (mechanics) Mechanics of Materials Homogeneous Mechanical Engineering Geometry Elasticity (physics) Condensed Matter Physics Ground state Nonlinear elasticity Mathematics
Zdroj:	Journal of Applied Mechanics. 61:784-787
ISSN:	1528-9036 0021-8936
DOI:	10.1115/1.2901555
Popis:	Two inequalities which for certain deformation classes may be viewed as universal relations are shown to hold for two distinct subclasses of unconstrained rubberlike solids. The inequalities express the fact that the mean stress corresponding to any purely distortional deformation originating from a given ground state is dominated by (and, respectively, dominates) the mean stress in that ground state. Also discussed is a case in which the deformations involved are necessarily homogeneous.
Databáze:	OpenAIRE
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