Theory and finite element computations of a unified cyclic phase transformation model for monocrystalline materials at small strains

DOI10.1007/s00466-006-0118-xzbMath1160.74036OpenAlexW2044148363MaRDI QIDQ1015654

Erwin Stein, Ole Zwickert

Publication date: 8 May 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-006-0118-x

zbMATH Keywords

ABAQUSenergy barriersshape memory effects

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Micromechanical theories (74A60) Crystals in solids (74N05)

Related Items (5)

A Gibbs-energy-barrier-based computational micro-sphere model for the simulation of martensitic phase-transformations ⋮ A macroscopic 1D model for shape memory alloys including asymmetric behaviors and transformation-dependent elastic properties ⋮ Convergence behavior of 3D finite elements for Neo‐Hookean material ⋮ Finite deformation pseudo-elasticity of shape memory alloys -- constitutive modelling and finite element implementation ⋮ Thermoviscoelasticity in Kelvin-Voigt rheology at large strains

Uses Software

• ABAQUS
• UMAT

Cites Work

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• Fine phase mixtures as minimizers of energy
• Finite element simulation of martensitic phase transitions in elastoplastic materials
• The free energy of mixing for \(n\)-variant martensitic phase transformations using quasi-convex analysis.
• A non-invariant plane model for the interface in CuAlNi single crystal shape memory alloys.
• A variational formulation of rate-independent phase transformations using an extremum principle
• Ten remarks on nonconvex minimisation for phase transition simulations
• A multi-variant martensitic phase transformation model: Formulation and numerical implementation

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