Multidimensional stability analysis of the phase-field method for fracture with a general degradation function and energy split
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Publication:1753915
DOI10.1007/s00466-017-1432-1zbMath1461.74079OpenAlexW2627040871WikidataQ113327389 ScholiaQ113327389MaRDI QIDQ1753915
Publication date: 29 May 2018
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-017-1432-1
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Anelastic fracture and damage (74R20) Stability of dynamical problems in solid mechanics (74H55)
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Cites Work
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- From the onset of damage to rupture: construction of responses with damage localization for a general class of gradient damage models
- A phase field model of deformation twinning: nonlinear theory and numerical simulations
- Finite element method for conserved phase fields: stress-mediated diffusional phase transformation
- A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
- A phase-field description of dynamic brittle fracture
- Discontinuous modelling of shear bands using adaptive meshfree methods
- A comparative study on finite element methods for dynamic fracture
- Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments
- Studies of dynamic crack propagation and crack branching with peridynamics
- Onset of shear localization in viscoplastic solids
- Material rate dependence and mesh-sensitivity in localization problems
- Non-normality and bifurcation in plane strain tension and compression
- Thermoplastic instability in simple shear
- Approximation of free-discontinuity problems
- Numerical experiments in revisited brittle fracture
- A numerical assessment of phase-field models for brittle and cohesive fracture: \(\Gamma\)-convergence and stress oscillations
- Onset of shear band localization by a local generalized eigenvalue analysis
- Multidimensional stability analysis of the phase-field method for fracture with a general degradation function and energy split
- Modeling melt convection in phase-field simulations of solidification
- High resolution two-dimensional shear band computations: Imperfections and mesh dependence
- Gradient damage \textit{vs} phase-field approaches for fracture: similarities and differences
- Phase field modeling and simulation of coupled fracture and twinning in single crystals and polycrystals
- A coupled phase field shear band model for ductile-brittle transition in notched plate impacts
- Error-bounds for finite element method
- An assessment of the phase field formulation for crack growth
- Bifurcations in finite element models with a non-associated flow law
- Split Hopkinson (Kolsky) Bar
- Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
- A method for dynamic crack and shear band propagation with phantom nodes
- Finite element analysis of transient strain localization phenomena in frictional solids
- A simplified mesh-free method for shear bands with cohesive surfaces
- Multiscale aggregating discontinuities: A method for circumventing loss of material stability
- Computation of post-bifurcation and post-failure behavior of strain-softening solids
- Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
- On a Variational Theorem in Elasticity
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