On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape memory alloy sample. II: Numerical algorithm

DOI10.1007/S00161-014-0403-4zbMath1365.82027OpenAlexW1966827048MaRDI QIDQ2358987

Jiong Wang, Paul Steinmann

Publication date: 27 June 2017

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

Full work available at URL: https://doi.org/10.1007/s00161-014-0403-4

zbMATH Keywords

finite element methodconfigurational forceiterative numerical algorithmmagnetic shape memory alloystwin interface

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Statistical mechanics of crystals (82D25) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Crystals in solids (74N05) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (4)

On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape-memory alloy sample. III: Magneto-mechanical behaviors ⋮ Numerical analysis of the magnetic shape memory effect based on the absolute nodal coordinate formulation ⋮ 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

• An admissibility condition for equilibrium shocks in finite elasticity
• The elastic energy-momentum tensor
• Configurational forces in magnetism with application to the dynamics of a small-scale ferromagnetic shape memory cantilever
• On the modeling of equilibrium twin interfaces in a single-crystalline magnetic shape memory alloy sample. I: Theoretical formulation
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