An energy-conserving time-discretisation scheme for poroelastic media with phase-field fracture emitting waves and heat
type: Item
instance of: scholarly article
title: An energy-conserving time-discretisation scheme for poroelastic media with phase-field fracture emitting waves and heat
zbMATH Open document ID: None
author: Tomáş Roubíçek
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2017-05-03T00:00:00Z
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 65P99
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74H15
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 37N15
Mathematics Subject Classification ID: 74J99
Mathematics Subject Classification ID: 74R20
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 80A17
zbMATH DE Number: 6710672
zbMATH Keywords: viscoelasticity at small strains
zbMATH Keywords: inertia
zbMATH Keywords: damage
zbMATH Keywords: crack
zbMATH Keywords: Ambrosio-Tortorelli approximation
zbMATH Keywords: Cahn-Hilliard equation
zbMATH Keywords: Fick and Darcy flow
zbMATH Keywords: fractional step splitting
zbMATH Keywords: Crank-Nicolson formula
zbMATH Keywords: convergence
zbMATH Keywords: existence of weak solutions
MaRDI profile type: Publication
full work available at URL: dcdss.2017044
OpenAlex ID: W2606428814
cites work: Approximation of functional depending on jumps by elliptic functional via t-convergence
cites work: Q3992271
cites work: Anisotropic Mesh Adaptation for Crack Detection In Brittle Materials
cites work: A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity
cites work: Nonlinear elliptic and parabolic equations involving measure data
cites work: Nonlinear Elliptic Equations with Right Hand Side Measures
cites work: Modeling and analysis of a phase field system for damage and phase separation processes in solids
cites work: Numerical experiments in revisited brittle fracture
cites work: The variational approach to fracture
cites work: A time-discrete model for dynamic fracture based on crack regularization
cites work: AN ADAPTIVE FINITE ELEMENT APPROXIMATION OF A GENERALIZED AMBROSIO–TORTORELLI FUNCTIONAL
cites work: Free Energy of a Nonuniform System. I. Interfacial Free Energy
cites work: Q5783502
cites work: On the Cahn–Hilliard Equation with Degenerate Mobility
cites work: Numerical Analysis and Its Applications
cites work: On the Navier-Stokes equations with temperature-dependent transport coefficients
cites work: A microscopically motivated constitutive model for shape memory alloys: Formulation, analysis and computations
cites work: Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
cites work: Q3914338
cites work: Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
cites work: Existence of weak solutions for Cahn-Hilliard systems coupled with elasticity and damage
cites work: Degenerating Cahn-Hilliard systems coupled with mechanical effects and complete damage processes.
cites work: Phase Separation Coupled with Damage Processes
cites work: Existence of weak solutions for a PDE system describing phase separation and damage processes including inertial effects
cites work: A temperature-dependent phase-field model for phase separation and damage
cites work: A visco-elasto-plastic evolution model with regularized fracture
cites work: EXISTENCE OF SOLUTIONS TO A REGULARIZED MODEL OF DYNAMIC FRACTURE
cites work: A non-local visco-elastic damage model and dynamic fracturing
cites work: Q3126807
cites work: Q3370609
cites work: Rate-independent systems. Theory and application
cites work: \(\Gamma\)-limits and relaxations for rate-independent evolutionary problems
cites work: On rate-independent hysteresis models
cites work: A model of Cahn—Hilliard equation based on a microforce balance
cites work: Q4139244
cites work: Optimal approximations by piecewise smooth functions and associated variational problems
cites work: Q3645638
cites work: On two classes of generalized viscous Cahn-Hilliard equations
cites work: Rate-independent processes in viscous solids at small strains
cites work: Thermodynamics of Rate-independent Processes in Viscous Solids at Small Strains
cites work: Nonlinear partial differential equations with applications
cites work: Adhesive Contact of Visco-elastic Bodies and Defect Measures Arising by Vanishing Viscosity
cites work: Thermomechanics of hydrogen storage in metallic hydrides: modeling and analysis
cites work: Thermomechanics of damageable materials under diffusion: modelling and analysis
cites work: Perfect plasticity with damage and healing at small strains, its modeling, analysis, and computer implementation
cites work: Computational inelasticity
cites work: Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
cites work: Q5611377

An energy-conserving time-discretisation scheme for poroelastic media with phase-field fracture emitting waves and heat (DOI)
DOI: 10.3934/DCDSS.2017044