Quasistatic crack growth in elasto-plastic materials with hardening: the antiplane case
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Publication:6130555
DOI10.1515/acv-2022-0025MaRDI QIDQ6130555
Rodica Toader, Gianni Dal Maso
Publication date: 3 April 2024
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
fracture mechanicsvariational modelsfree-discontinuity problemsrate independent processesquasistatic evolution problemssmall strain associative elasto-plasticity with hardening
Brittle fracture (74R10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Free boundary problems for PDEs (35R35) Variational principles of physics (49S05)
Cites Work
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- The variational approach to fracture
- Quasistatic crack growth in elasto-plastic materials: the two-dimensional case
- On plasticity with hardening
- Plasticity. Mathematical theory and numerical analysis
- A model for the quasi-static growth of brittle fractures: Existence and approximation results
- Quasistatic crack growth in nonlinear elasticity
- Revisiting brittle fracture as an energy minimization problem
- Return-mapping algorithms for associative isotropic hardening plasticity using conic optimization
- Rate-independent systems. Theory and application
- A compactness result in \(GSBV^p\) and applications to \(\varGamma \)-convergence for free discontinuity problems
- A \(\Gamma\)-convergence approach to stability of unilateral minimality properties in fracture mechanics and applications
- Quasi-Static Evolution for the Armstrong-Frederick Hardening-Plasticity Model
- Convexity and Optimization in Banach Spaces
- REGULARITY RESULTS FOR THREE-DIMENSIONAL ISOTROPIC AND KINEMATIC HARDENING INCLUDING BOUNDARY DIFFERENTIABILITY
- A Variational Principle for Hardening Elastoplasticity
- Wellposedness of kinematic hardening models in elastoplasticity
- Mechanics of Solid Materials
- The Thermomechanics of Plasticity and Fracture
- Existence and convergence for quasi-static evolution in brittle fracture
- Recent Developments in the Mathematical Theory of Plasticity
- Some implications of work hardening and ideal plasticity
- Equilibrium Configurations for Nonhomogeneous Linearly Elastic Materials with Surface Discontinuities