Phase Transformations in Isotropic Elastic Materials Induced by Shear Stress States

DOI10.1177/1081286507088193zbMath1175.74064OpenAlexW2068806197MaRDI QIDQ3630023

Pilade Foti, Domenico de Tommasi

Publication date: 2 June 2009

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286507088193

zbMATH Keywords

nonlinear elasticitycoexisting phasesstress induced phase transformations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Phase transformations in solids (74N99)

Related Items (1)

A lower bound estimate of the critical load in bifurcation analysis for incompressible elastic solids

Cites Work

• Two-phase deformations of elastic solids
• The torsion problem for a nonconvex stored energy function
• Pairwise deformations of an incompressible elastic body under dead-load tractions
• Helical shear of an elastic, circular tube with a non-convex stored energy
• Ellipticity and deformations with discontinuous gradients in finite elastostatics
• Equilibrium shocks in plane deformations of incompressible elastic materials
• Stability of homogeneous deformation of an incompressible elastic body under dead-load surface tractions
• Equilibrium of bars
• Coexistent phase mixtures in the anti-plane shear of an elastic tube
• Experimental and numerical determinations of the initial surface of phase transformation under biaxial loading in some polycrystalline shape-memory alloys
• Minimization in incompressible nonlinear elasticity theory
• Incompressible elastic bodies with non-convex energy under dead-load surface tractions
• Stress-induced phase transformations of an isotropic incompressible elastic body subject to a triaxial stress state
• Review Paper. Characterization and stability of two–phase piecewise–homogeneous deformations

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