A thermodynamically consistent mesoscopic model for transversely isotropic ferroelectric ceramics in a coordinate-invariant setting
From MaRDI portal
Publication:2432412
DOI10.1007/s00419-005-0412-7zbMath1158.74344OpenAlexW2044635192MaRDI QIDQ2432412
Publication date: 25 October 2006
Published in: Archive of Applied Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00419-005-0412-7
Related Items (21)
Modeling of ferroelectric hysteresis as variational inequality ⋮ Micromechanical modeling and experimental characterization of 1-3 piezocomposites subjected to electromechanical loads ⋮ On the simulation of cohesive fatigue effects in grain boundaries of a piezoelectric mesostructure ⋮ Variational-based modeling of micro-electro-elasticity with electric field-driven and stress-driven domain evolutions ⋮ Return mapping algorithms and consistent tangent operators in ferroelectroelasticity ⋮ Computational modeling of rate-dependent domain switching in piezoelectric materials ⋮ Measure-valued solutions for models of ferroelectric materials ⋮ Algorithmic two-scale transition for magneto-electro-mechanically coupled problems, FE \({}^2\)-scheme: localization and homogenization ⋮ Construction of invariant relations of \(n\) symmetric second-order tensors ⋮ A thermodynamically consistent phenomenological model for ferroelectric and ferroelastic hysteresis ⋮ Three-dimensional nonlocal models of deformable ferroelectrics: a thermodynamically consistent approach ⋮ Comparison of phenomenological and laminate‐based models for rate‐dependent switching in ferroelectric continua ⋮ Micromechanical modelling of switching phenomena in polycrystalline piezoceramics: application of a polygonal finite element approach ⋮ An energy-based model for ferroelectric ceramics ⋮ A constitutive model for magnetostrictive and piezoelectric materials ⋮ Computational homogenization in dissipative electro-mechanics of functional materials ⋮ A rate-dependent incremental variational formulation of ferroelectricity ⋮ Computational modelling of microcracking effects in polycrystalline piezoelectric ceramics ⋮ Energy principle and nonlinear electric-mechanical behavior of ferroelectric ceramics ⋮ On the local in time well-posedness of an elliptic-parabolic ferroelectric phase-field model ⋮ Variational principles in dissipative electro-magneto-mechanics: A framework for the macro-modeling of functional materials
Cites Work
- Unnamed Item
- A phenomenological multi-axial constitutive law for switching in polycrystalline ferroelectric ceramics
- Thermodynamical formulation for coupled electromechanical hysteresis effects. III: Parameter identification
- Thermodynamical formulation for coupled electromechanical hysteresis effects. IV: Combined electromechanical loading
- Thermodynamical formulation for coupled electromechanical hysteresis effects. I: Basic equations
- Thermodynamical formulation for coupled electromechanical hysteresis effects. II: Poling of ceramics
- One dimensional polar mechanical and dielectric responses of the ferroelectric ceramic PZT 65/35 due to domain switching
- On a fundamental error in two papers of C.-C. Wang 'On representations for isotropic functions, parts I and II'
- On representations for isotropic functions. I: Isotropic functions of symmetric tensors and vectors. II: Isotropic functions of skew-symmetric tensors, symmetric tensors, and vectors
- Phenomenological modeling of the nonlinear electromechanical coupling in ferroelectrics
- A finite element model of ferroelastic polycrystals
- Invariant formulation of the electromechanical enthalpy function on transversely isotropic piezoelectric materials
- On representations of anisotropic invariants
- Finite element analysis of piezoceramic components taking into account ferroelectric hysteresis behavior
- On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
- Mechanics of Solid Materials
- A new finite-element formulation for electromechanical boundary value problems
- An energetic material model for time-dependent ferroelectric behaviour: existence and uniqueness
- Optimal ranking of tournaments
- Ferroelectric and ferroelastic piezoceramics -- modeling of electromechanical hysteresis phenomena.
- Fully coupled, multi-axial, symmetric constitutive laws for polycrystalline ferroelectric ceramics
This page was built for publication: A thermodynamically consistent mesoscopic model for transversely isotropic ferroelectric ceramics in a coordinate-invariant setting
