Numerical energy relaxation to model microstructure evolution in functional magnetic materials
From MaRDI portal
Publication:6078521
DOI10.1002/gamm.201510009zbMath1525.74160OpenAlexW1565389896MaRDI QIDQ6078521
Björn Kiefer, Thorsten Bartel, Unnamed Author
Publication date: 24 October 2023
Published in: GAMM-Mitteilungen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/gamm.201510009
Effective constitutive equations in solid mechanics (74Q15) Statistical mechanics of crystals (82D25) Nonlinear constitutive equations for materials with memory (74D10) Analysis of microstructure in solids (74N15) Statistical mechanics of magnetic materials (82D40)
Cites Work
- Unnamed Item
- Unnamed Item
- 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
- Approximation in multiscale modelling of microstructure evolution in shape-memory alloys
- Global optimization numerical strategies for rate-independent processes
- The free energy of mixing for \(n\)-variant martensitic phase transformations using quasi-convex analysis
- Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi
- Non-linear constitutive relations for magnetostrictive materials
- A novel homogenization method for phase field approaches based on partial rank-one relaxation
- 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
- Energy minimizers for large ferromagnetic bodies
- The computation of martensitic microstructure with piecewise laminates
- A constrained sequential-lamination algorithm for the simulation of sub-grid microstructure in martensitic materials.
- A constrained theory of magnetoelasticity
- Modelling of laminated microstructures in stress-induced martensitic transformations.
- The simply laminated microstructure in martensitic crystals that undergo a cubic-to-orthorhombic phase transformation
- Nonconvex energy minimization and dislocation structures in ductile single crystals
- A constitutive model for magnetostrictive and piezoelectric materials
- A unified framework for modeling hysteresis in ferroic materials
- Coarse-grained models of materials with non-convex free-energy: two case studies
- Effective relaxation for microstructure simulations: algorithms and applications
- Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: evolving deformation microstructures in finite plasticity
- Variational principles in dissipative electro-magneto-mechanics: A framework for the macro-modeling of functional materials
- Modeling of Magnetic SMAs
- A micromechanical model for martensitic phase-transformations in shape-memory alloys based on energy-relaxation
- Numerical Approach to Double Well Problems
- 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: Numerical energy relaxation to model microstructure evolution in functional magnetic materials
