We prove that the strong restriction of Baker & Ericksen on the response function of a compressible elastic material is equivalent to require that a simple extension corresponds to simple tension. We also show that under the same restriction, corresponding eigenvalues of the stress tensor and the measure of deformation have the same multiplicity. Finally, a new restriction involving only two response coefficients is proposed.

An interpretation of Baker-Ericksen inequalities in uniaxial deformation and stress

Salvatore Marzano
1983

Abstract

We prove that the strong restriction of Baker & Ericksen on the response function of a compressible elastic material is equivalent to require that a simple extension corresponds to simple tension. We also show that under the same restriction, corresponding eigenvalues of the stress tensor and the measure of deformation have the same multiplicity. Finally, a new restriction involving only two response coefficients is proposed.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11589/11667
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