On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape memory alloy sample. I: Theoretical formulation

DOI10.1007/s00161-013-0319-4zbMath1341.82089OpenAlexW2025800817MaRDI QIDQ2629195

Jiong Wang, Paul Steinmann

Publication date: 20 July 2016

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-013-0319-4

zbMATH Keywords

variational methodconfigurational forcemagnetic shape memory alloystwin interfacesingle-crystalline

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Crystals in solids (74N05)

Related Items (5)

On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape memory alloy sample. II: Numerical algorithm ⋮ On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape-memory alloy sample. III: Magneto-mechanical behaviors ⋮ A multiphase phase-field study of three-dimensional martensitic twinned microstructures at large strains ⋮ Modeling the dynamic magneto-mechanical response of magnetic shape memory alloys based on Hamilton's principle: the governing equation system ⋮ On coupled FEM-BEM simulation of the magneto-mechanical behavior of single-crystalline Ni-Mn-Ga alloys

Cites Work

• Analytical study on the stress-induced phase or variant transformation in slender shape memory alloy samples
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• An admissibility condition for equilibrium shocks in finite elasticity
• Fine phase mixtures as minimizers of energy
• The elastic energy-momentum tensor
• On the thermomechanics of shape memory wires
• Material forces in thermoelastic ferromagnets
• Views on multiplicative elastoplasticity and the continuum theory of dislocations
• Configurational forces in magnetism with application to the dynamics of a small-scale ferromagnetic shape memory cantilever
• A variational formulation of rate-independent phase transformations using an extremum principle
• Coarse-grained models of materials with non-convex free-energy: two case studies
• Elastic-Plastic Deformation at Finite Strains

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