Partially relaxed energy potentials for the modelling of microstructures - application to shape memory alloys

DOI10.1002/gamm.201210005zbMath1255.74050OpenAlexW2033542142MaRDI QIDQ4900436

Thorsten Bartel, Andreas Menzel

Publication date: 24 January 2013

Published in: GAMM-Mitteilungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/gamm.201210005

zbMATH Keywords

finite element analysisrelaxation methodsmultiscale approachmicrostructure formation and evolution

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Micromechanics of solids (74M25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Thermodynamic and relaxation-based modeling of the interaction between martensitic phase transformations and plasticity
• The evolution of laminates in finite crystal plasticity: a variational approach
• Two-scale modelling of micromorphic continua. A numerical homogenization scheme
• Towards variational constitutive updates for non-associative plasticity models at finite strain: models based on a volumetric-deviatoric split
• On the implementation of rate-independent standard dissipative solids at finite strain-variational constitutive updates
• Nonequilibrium thermodynamics of pseudoelasticity
• The free energy of mixing for \(n\)-variant martensitic phase transformations using quasi-convex analysis
• On the existence of symmetry relations and dissipation potentials
• Quasiconvexity and relaxation of nonconvex problems in the calculus of variations
• Multi-scale computational homogenization: trends and challenges
• An upper bound to the free energy of mixing by twin-compatible lamination for \(n\)-variant martensitic phase transformations
• Fine phase mixtures as minimizers of energy
• The relaxation of a double-well energy
• Macroscopic response of nematic elastomers via relaxation of a class of \(SO(3)\)-invariant energies
• \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
• A variational formulation of rate-independent phase transformations using an extremum principle
• Modelling of laminated microstructures in stress-induced martensitic transformations.
• Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals.
• Computational micro-to-macro transitions of discretized microstructures undergoing small strains
• Anisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials.
• Material instabilities in nematic elastomers
• Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials
• Nonconvex energy minimization and dislocation structures in ductile single crystals
• Effective relaxation for microstructure simulations: algorithms and applications
• Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy
• Quasi-convexity and the lower semicontinuity of multiple integrals
• Finite Elastoplasticity Lie Groups and Geodesics on SL(d)
• A micromechanical model for martensitic phase-transformations in shape-memory alloys based on energy-relaxation
• Relaxation of a class of variational models in crystal plasticity
• On the relation of a three-well energy
• Surface energy and microstructure in coherent phase transitions
• Non–convex potentials and microstructures in finite–strain plasticity
• Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation

This page was built for publication: Partially relaxed energy potentials for the modelling of microstructures - application to shape memory alloys