A two-scale finite element relaxation analysis of shear bands in non-convex inelastic solids: Small-strain theory for standard dissipative materials.
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Publication:1400225
DOI10.1016/S0045-7825(02)00547-9zbMath1088.74044OpenAlexW2053038289MaRDI QIDQ1400225
Matthias Lambrecht, Christian Miehe
Publication date: 13 August 2003
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(02)00547-9
Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Anelastic fracture and damage (74R20) Finite element methods applied to problems in solid mechanics (74S05)
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Cites Work
- The free energy of mixing for \(n\)-variant martensitic phase transformations using quasi-convex analysis
- Consistent tangent operators for rate-independent elastoplasticity
- Extremum properties of finite-step solutions in elastoplasticity with nonlinear mixed hardening
- A finite element method for localized failure analysis
- Material rate dependence and mesh-sensitivity in localization problems
- A finite element with embedded localization zones
- Acceleration waves in solids
- A variational principle for gradient plasticity
- The relaxation of a double-well energy
- Convexity conditions and existence theorems in nonlinear elasticity
- Plasticity. Mathematical theory and numerical analysis
- An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids
- Post-critical discontinuous localization analysis of small-strain softening elastoplastic solids
- An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids
- A variational multiscale approach to strain localization -- formulation for multidimensional problems
- A theory of subgrain dislocation structures
- On the structure of the rate equations of materials with internal variables
- A unified approach for variationally consistent finite elements in elastoplasticity
- Material instabilities in nematic elastomers
- The variational formulation of viscoplastic constitutive updates
- Nonconvex energy minimization and dislocation structures in ductile single crystals
- Numerical approximation of Young measures in non-convex variational problems
- An approach to nonlinear programming
- Quasi-convexity and the lower semicontinuity of multiple integrals
- Arbitrary discontinuities in finite elements
- A note on formulas for localized failure of frictional materials in compression and biaxial loading modes
- Discontinuous displacement approximation for capturing plastic localization
- Explicit relaxation of a variational problem in optimal design
- Computation of post-bifurcation and post-failure behavior of strain-softening solids
- Optimal design and relaxation of variational problems, I
- Non-local yield limit degradation
- The Thermomechanics of Plasticity and Fracture
- Numerical solution of the scalar double-well problem allowing microstructure
- Variational Formulation, Discrete Conservation Laws, and Path-Domain Independent Integrals for Elasto-Viscoplasticity
- Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation
- A class of mixed assumed strain methods and the method of incompatible modes
- On a class of constitutive equations in viscoplasticity: Formulation and computational issues
- Semicontinuity problems in the calculus of variations
- Direct methods in the calculus of variations
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