In this paper we obtain necessary conditions for the existence of pairwise deformations of an incompressible, isotropic elastic body subjected to a homogeneous distribution of dead-load tractions. Explicit restrictions on the boundary loads and on the surface of discontinuity between the phases are determined. For hyperelastic bodies with stored energy depending only on the linear invariant of strain, we show that pairwise deformations under examination are necessarily (within a rigid rotation) plane deformations.

Pairwise deformations of an incompressible elastic body under dead-load tractions

D'Ambrosio, Pietro Antonio;De Tommasi, D.;Foti, P.;Piccioni, M. D.
2003

Abstract

In this paper we obtain necessary conditions for the existence of pairwise deformations of an incompressible, isotropic elastic body subjected to a homogeneous distribution of dead-load tractions. Explicit restrictions on the boundary loads and on the surface of discontinuity between the phases are determined. For hyperelastic bodies with stored energy depending only on the linear invariant of strain, we show that pairwise deformations under examination are necessarily (within a rigid rotation) plane deformations.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11589/684
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