An order-parameter-based theory as a regularization of a sharp-interface theory for solid-solid phase transitions

DOI10.1007/s002050050045zbMath0910.73006OpenAlexW2049253172MaRDI QIDQ1382921

Publication date: 21 April 1999

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2142/112518

zbMATH Keywords

strain energy asymptotic expansion constitutive relations configurational stress deformation gradients internal configurational force scalar-valued order parameter tangential gradients two-phase hyperelastic solid

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Inhomogeneity in solid mechanics (74E05) Thermodynamics in solid mechanics (74A15) Stefan problems, phase changes, etc. (80A22) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24)

Related Items (6)

Dynamic solid-solid transitions with phase characterized by an order parameter ⋮ A constitutive level-set model for shape memory alloys ⋮ Phase field approach to martensitic phase transformations with large strains and interface stresses ⋮ A note on traction continuity across an interface in a geometrically non-linear framework ⋮ Transition and separation process in brine channels formation ⋮ Phase field approach with anisotropic interface energy and interface stresses: large strain formulation

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