In this paper we study the stable two-phase deformations for an incompressible isotropic elastic body subjected to a homogeneous distribution of dead load tractions on the boundary with two opposite principal forces, whereas the third one is arbitrary. By considering a stored energy function with a nonconvex (rank-one) dependence on the first invariant of strain and an added linear dependence on the second invariant, we determine values of the boundary tractions which support stable two-phase deformations and discuss some kinematical properties of such solutions.

Phase transformations in isotropic elastic materials induced by shear stress states / DE TOMMASI, Domenico; Foti, Pilade. - In: MATHEMATICS AND MECHANICS OF SOLIDS. - ISSN 1081-2865. - 13:7(2008), pp. 639-664. [10.1177/1081286507088193]

Phase transformations in isotropic elastic materials induced by shear stress states

DE TOMMASI, Domenico;FOTI, Pilade
2008-01-01

Abstract

In this paper we study the stable two-phase deformations for an incompressible isotropic elastic body subjected to a homogeneous distribution of dead load tractions on the boundary with two opposite principal forces, whereas the third one is arbitrary. By considering a stored energy function with a nonconvex (rank-one) dependence on the first invariant of strain and an added linear dependence on the second invariant, we determine values of the boundary tractions which support stable two-phase deformations and discuss some kinematical properties of such solutions.
2008
Phase transformations in isotropic elastic materials induced by shear stress states / DE TOMMASI, Domenico; Foti, Pilade. - In: MATHEMATICS AND MECHANICS OF SOLIDS. - ISSN 1081-2865. - 13:7(2008), pp. 639-664. [10.1177/1081286507088193]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/5518
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