Phase Transformations in Isotropic Elastic Materials Induced by Shear Stress States
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...
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| Veröffentlicht in: | Mathematics and mechanics of solids 2008-09, Vol.13 (7), p.639-664 |
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| container_title | Mathematics and mechanics of solids |
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| creator | De Tommasi, Domenico Foti, Pilade |
| description | 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. |
| doi_str_mv | 10.1177/1081286507088193 |
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| ispartof | Mathematics and mechanics of solids, 2008-09, Vol.13 (7), p.639-664 |
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| subjects | Boundaries Deformation Elasticity Exact sciences and technology Fundamental areas of phenomenology (including applications) Internal energy Invariants Loads (forces) Mathematical analysis Methods Phase transformations (Statistical physics) Physics Shear stress Solid mechanics Static elasticity (thermoelasticity...) Stress analysis (Engineering) Structural and continuum mechanics Traction |
| title | Phase Transformations in Isotropic Elastic Materials Induced by Shear Stress States |
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