Models of Dynamic Damage and Phase-field Fracture, and their Various Time Discretisations
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Publication:3294745
DOI10.1007/978-3-030-33116-0_14zbMath1443.74256arXiv1906.04110OpenAlexW2948177475MaRDI QIDQ3294745
Publication date: 29 June 2020
Published in: CIM Series in Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.04110
Anelastic fracture and damage (74R20) Finite element methods applied to problems in solid mechanics (74S05) Linear constitutive equations for materials with memory (74D05)
Related Items (5)
Energetic solutions for the coupling of associative plasticity with damage in geomaterials ⋮ A comparative review of peridynamics and phase-field models for engineering fracture mechanics ⋮ Dynamic perfect plasticity and damage in viscoelastic solids ⋮ The Stefan problem in a thermomechanical context with fracture and fluid flow ⋮ Discrete approximation of dynamic phase-field fracture in visco-elastic materials
Cites Work
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- Phase field approximation of cohesive fracture models
- From gradient damage laws to Griffith's theory of crack propagation
- A density result for GSBD and its application to the approximation of brittle fracture energies
- Initiation of a periodic array of cracks in the thermal shock problem: A gradient damage modeling
- Phase field approximation of dynamic brittle fracture
- An energy-conserving time-discretisation scheme for poroelastic media with phase-field fracture emitting waves and heat
- Phase change in mechanics.
- Complete damage in elastic and viscoelastic media and its energetics
- From damage to delamination in nonlinearly elastic materials at small strains
- A phase-field description of dynamic brittle fracture
- A gradient-enhanced large-deformation continuum damage model for fibre-reinforced materials
- Thermodynamically consistent Cahn-Hilliard and Allen-Cahn models in elastic solids
- The variational approach to fracture
- The variational approach to fracture mechanics. A practical application to the French Panthéon in Paris
- Computational inelasticity
- Strength or toughness? A criterion for crack onset at a notch
- An overview of the modelling of fracture by gradient damage models
- Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
- On rate-independent hysteresis models
- A quasistatic mixed-mode delamination model
- Rate-independent damage in thermo-viscoelastic materials with inertia
- High-accuracy phase-field models for brittle fracture based on a new family of degradation functions
- Rate-independent systems. Theory and application
- Interface crack onset at a circular cylindrical inclusion under a remote transverse tension. Application of a coupled stress and energy criterion
- A time-discrete model for dynamic fracture based on crack regularization
- \(\Gamma\)-limits and relaxations for rate-independent evolutionary problems
- Asymptotic Analysis of Ambrosio--Tortorelli Energies in Linearized Elasticity
- Optimal approximations by piecewise smooth functions and associated variational problems
- Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
- Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- Damage of nonlinearly elastic materials at small strain - Existence and regularity results -
- EXISTENCE OF SOLUTIONS TO A REGULARIZED MODEL OF DYNAMIC FRACTURE
- Rate-independent processes in viscous solids at small strains
- Injective weak solutions in second-gradient nonlinear elasticity
- Dynamic Fracture Mechanics
- A New Family of Mixed Finite Elements for the Linear Elastodynamic Problem
- ON THE VARIATIONAL APPROXIMATION OF FREE-DISCONTINUITY PROBLEMS IN THE VECTORIAL CASE
- Convergence of alternate minimization schemes for phase-field fracture and damage
- VI. The phenomena of rupture and flow in solids
- Mathematical Methods in Continuum Mechanics of Solids
- Energy-Conserving Time Discretization of Abstract Dynamic Problems with Applications in Continuum Mechanics of Solids
- Nonlinear partial differential equations with applications
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