Variational-based modeling of micro-electro-elasticity with electric field-driven and stress-driven domain evolutions
From MaRDI portal
Publication:2911858
DOI10.1002/nme.4254zbMath1246.74018OpenAlexW2136863427MaRDI QIDQ2911858
Christian Miehe, Dominic Zäh, Daniele Rosato
Publication date: 3 September 2012
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.4254
Finite element methods applied to problems in solid mechanics (74S05) Micromechanics of solids (74M25) Electromagnetic effects in solid mechanics (74F15)
Related Items (6)
Homogenization in micro-magneto-mechanics ⋮ A thermodynamically consistent phenomenological model for ferroelectric and ferroelastic hysteresis ⋮ Variational modeling and homogenization in dissipative magneto‐mechanics ⋮ Coordinate‐invariant phase field modeling of ferro‐electrics, part I: Model formulation and single‐crystal simulations ⋮ Coordinate‐invariant phase field modeling of ferro‐electrics, part II: Application to composites and poly‐crystals ⋮ Computational homogenization in dissipative electro-mechanics of functional materials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A multi-field incremental variational framework for gradient-extended standard dissipative solids
- A phenomenological multi-axial constitutive law for switching in polycrystalline ferroelectric ceramics
- A rate-dependent incremental variational formulation of ferroelectricity
- Thermodynamical formulation for coupled electromechanical hysteresis effects. III: Parameter identification
- Thermodynamical formulation for coupled electromechanical hysteresis effects. IV: Combined electromechanical loading
- Continuum thermodynamics of ferroelectric domain evolution: theory, finite element implementation, and application to domain wall pinning
- Domain evolution in ferroelectric materials: a continuum phase field model and finite element implementation
- Thermodynamical formulation for coupled electromechanical hysteresis effects. I: Basic equations
- Thermodynamical formulation for coupled electromechanical hysteresis effects. II: Poling of ceramics
- Phenomenological modeling of the nonlinear electromechanical coupling in ferroelectrics
- Energy minimizers for large ferromagnetic bodies
- Continuum theory of thermally induced phase transitions based on an order parameter
- Dynamic solid-solid transitions with phase characterized by an order parameter
- A constrained theory of magnetoelasticity
- Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals.
- Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
- Computational modeling of domain wall interactions with dislocations in ferroelectric crystals
- A thermodynamically consistent mesoscopic model for transversely isotropic ferroelectric ceramics in a coordinate-invariant setting
- A phenomenological constitutive model for ferroelastic and ferroelectric hysteresis effects in ferroelectric ceramics
- On the nonlinear equations of thermoelectroelasticity
- Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: evolving deformation microstructures in finite plasticity
- Stress tensors in elastic dielectrics
- Variational principles in dissipative electro-magneto-mechanics: A framework for the macro-modeling of functional materials
- Smart Material Systems
- Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation
- Multi-axial electrical switching of a ferroelectric: Theory versus experiment
- Ferroelectric and ferroelastic piezoceramics -- modeling of electromechanical hysteresis phenomena.
This page was built for publication: Variational-based modeling of micro-electro-elasticity with electric field-driven and stress-driven domain evolutions
