Gradient Flows for Coupling Order Parameters and Mechanics
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Publication:6042591
DOI10.1137/22m148478xzbMath1523.74086MaRDI QIDQ6042591
Publication date: 3 May 2023
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
contact linesurface tensionincremental minimizationCahn-Hilliard mobilitygel swelling modelLagrangian finite strain hyperelasticityphase-field evolution
Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Dynamics of phase boundaries in solids (74N20) Finite difference methods applied to problems in solid mechanics (74S20)
Cites Work
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- Formulation of thermoelastic dissipative material behavior using GENERIC
- A chemo-thermo-mechanically coupled theory for elastic-viscoplastic deformation, diffusion, and volumetric swelling due to a chemical reaction
- On microscopic origins of generalized gradient structures
- A coupled theory of fluid permeation and large deformations for elastomeric materials
- A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
- Thermoviscoelasticity in Kelvin-Voigt rheology at large strains
- Isogeometric fluid-structure interaction: Theory, algorithms, and computations
- Thermodynamics of rate-independent plasticity
- On the numerical simulation of Bingham viscoplastic flow: old and new results
- The heat equation on manifolds as a gradient flow in the Wasserstein space
- A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting
- Convexity conditions and existence theorems in nonlinear elasticity
- Damage, gradient of damage and principle of virtual power
- A theory of amorphous solids undergoing large deformations, with application to polymeric glasses.
- Global existence results for viscoplasticity at finite strain
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
- Quasistatic damage evolution with spatial \(BV\)-regularization
- Mechanics of the inelastic behavior of materials. I: Theoretical underpinnings
- A phase-field model for fluid-structure interaction
- (Non)-convergence of solutions of the convective Allen-Cahn equation
- Energy-stable linear schemes for polymer-solvent phase field models
- Lagrangian schemes for Wasserstein gradient flows
- An introduction to continuum mechanics
- Shape and topology optimization based on the phase field method and sensitivity analysis
- Approximation of incompressible large deformation elastic problems: some unresolved issues
- A polyconvex framework for soft biological tissues. Adjustment to experimental data
- Continuum thermodynamics of chemically reacting fluid mixtures
- Model hierarchies and higher-order discretisation of time-dependent thin-film free boundary problems with dynamic contact angle
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- Numerical schemes for a three component Cahn-Hilliard model
- Existence results for diffuse interface models describing phase separation and damage
- THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
- Solving PDEs in Python
- Diffuse Interface Methods for Multiple Phase Materials: An Energetic Variational Approach
- A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems
- Gradient Structures for Flows of Concentrated Suspensions
- Lagrange Multiplier Approach to Variational Problems and Applications
- Injective weak solutions in second-gradient nonlinear elasticity
- Numerical Analysis of a Continuum Model of Phase Transition
- The Finite Element Method with Penalty
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- The Variational Formulation of the Fokker--Planck Equation
- Optimization of a Multiphysics Problem in Semiconductor Laser Design
- Two-Phase Flow with Surfactants: Diffuse Interface Models and Their Analysis
- A diffuse-interface method for simulating two-phase flows of complex fluids
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
- Mixed Finite Element Methods and Applications
- Binary-fluid–solid interaction based on the Navier–Stokes–Korteweg equations
- A Variational Lagrangian Scheme for a Phase-Field Model: A Discrete Energetic Variational Approach
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- RATE-INDEPENDENT DAMAGE PROCESSES IN NONLINEAR ELASTICITY
- Nonlinear elastic inclusions in isotropic solids
- A variational approach to moving contact line hydrodynamics
- Existence results for a class of rate-independent material models with nonconvex elastic energies
- Elastic-Plastic Deformation at Finite Strains
- The Thermodynamics of Irreversible Processes. IV. The Theory of Elasticity and Anelasticity
- A theoretical and numerical model for the study of incompressible mixture flows
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