An incremental minimization principle suitable for the analysis of low cycle fatigue in metals: A coupled ductile-brittle damage model

DOI10.1016/j.cma.2011.07.006zbMath1230.74162OpenAlexW2160058849MaRDI QIDQ660311

J. Mosler, Olaf Kintzel

Publication date: 1 February 2012

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.2011.07.006

zbMATH Keywords

energy minimizationvariational principlesdamage mechanicsplasticitylow cycle fatigue

Mathematics Subject Classification ID

Anelastic fracture and damage (74R20) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items (1)

Coupled ductile-hydrolytic damage model based on variational constitutive updates

Cites Work

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• A thermodynamically and variationally consistent class of damage-type cohesive models
• Towards variational constitutive updates for non-associative plasticity models at finite strain: models based on a volumetric-deviatoric split
• On the implementation of rate-independent standard dissipative solids at finite strain-variational constitutive updates
• Gradient damage models: toward full-scale computations
• Variationally consistent modeling of finite strain plasticity theory with nonlinear kinematic hardening
• The variational approach to fracture
• When and how do cracks propagate?
• Incremental energy minimization in dissipative solids
• Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
• Computational inelasticity
• A priori stability estimates and unconditionally stable product formula algorithms for nonlinear coupled thermoplasticity
• Computational micro-to-macro transitions for discretized micro-structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy.
• Numerical experiments in revisited brittle fracture
• A model for the quasi-static growth of brittle fractures: Existence and approximation results
• Quasistatic crack growth in nonlinear elasticity
• Anisotropic additive plasticity in the logarithmic strain space: Modular kinematic formulation and implementation based on incremental minimization principles for standard materials.
• The variational formulation of viscoplastic constitutive updates
• Nonconvex energy minimization and dislocation structures in ductile single crystals
• Revisiting brittle fracture as an energy minimization problem
• A mixed interface finite element for cohesive zone models
• Efficient modeling of localized material failure by means of a variationally consistent embedded strong discontinuity approach
• On the formulation of closest-point projection algorithms in elastoplasticity-part I: The variational structure
• Non–convex potentials and microstructures in finite–strain plasticity
• VI. The phenomena of rupture and flow in solids
• On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials

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