Phase-field modeling for polarization evolution in ferroelectric materials via an isogeometric collocation method
From MaRDI portal
Publication:2173615
DOI10.1016/j.cma.2019.04.001zbMath1441.74013OpenAlexW2937009968WikidataQ128056238 ScholiaQ128056238MaRDI QIDQ2173615
Ferdinando Auricchio, Attilio Frangi, Patrick Fedeli, Alessandro Reali
Publication date: 17 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2019.04.001
Ginzburg-Landau equationcollocationisogeometric analysisphase-field modelingstaggered explicit couplingvectorial order parameter
Electromagnetic effects in solid mechanics (74F15) Polar materials (74A35) Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids (74-10)
Related Items (5)
Immersed isogeometric analysis based on a hybrid collocation/finite cell method ⋮ Effects of parameterization and knot placement techniques on primal and mixed isogeometric collocation formulations of spatial shear-deformable beams with varying curvature and torsion ⋮ Adaptive higher-order phase-field modeling of anisotropic brittle fracture in 3D polycrystalline materials ⋮ Superconvergent isogeometric collocation method with Greville points ⋮ Isogeometric collocation method with intuitive derivative constraints for PDE-based analysis-suitable parameterizations
Cites Work
- A selective enhanced FE-method for phase field modeling of ferroelectric materials
- Isogeometric collocation for elastostatics and explicit dynamics
- Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models
- Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods
- Isogeometric analysis of nearly incompressible large strain plasticity
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- 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
- Non-prismatic Timoshenko-like beam model: numerical solution via isogeometric collocation
- Isogeometric Kirchhoff-Love shell formulations for general hyperelastic materials
- Isogeometric collocation: Neumann boundary conditions and contact
- Isogeometric collocation methods for the Reissner-Mindlin plate problem
- An isogeometric collocation approach for Bernoulli-Euler beams and Kirchhoff plates
- Single-variable formulations and isogeometric discretizations for shear deformable beams
- Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
- Matrix-free weighted quadrature for a computationally efficient isogeometric \(k\)-method
- Explicit higher-order accurate isogeometric collocation methods for structural dynamics
- Explicit isogeometric collocation for the dynamics of three-dimensional beams undergoing finite motions
- Skeleton-stabilized immersogeometric analysis for incompressible viscous flow problems
- Isogeometric shape optimization of nonlinear, curved 3D beams and beam structures
- Isogeometric collocation methods with generalized B-splines
- The variational collocation method
- Isogeometric collocation methods for Cosserat rods and rod structures
- A natural framework for isogeometric fluid-structure interaction based on BEM-shell coupling
- Optimal-order isogeometric collocation at Galerkin superconvergent points
- Locking-free isogeometric collocation formulation for three-dimensional geometrically exact shear-deformable beams with arbitrary initial curvature
- Isogeometric collocation for the Reissner-Mindlin shell problem
- Isogeometric collocation for Kirchhoff-Love plates and shells
- Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes
- Isogeometric collocation using analysis-suitable T-splines of arbitrary degree
- Locking-free isogeometric collocation methods for spatial Timoshenko rods
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- Isogeometric collocation for large deformation elasticity and frictional contact problems
- Isogeometric analysis of the Cahn-Hilliard phase-field model
- ISOGEOMETRIC COLLOCATION METHODS
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
This page was built for publication: Phase-field modeling for polarization evolution in ferroelectric materials via an isogeometric collocation method
