Optimal laminates in single-slip elastoplasticity
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Publication:1995398
DOI10.3934/dcdss.2020302zbMath1454.74021OpenAlexW3012292430MaRDI QIDQ1995398
Publication date: 23 February 2021
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2020302
Nonlinear elasticity (74B20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Methods involving semicontinuity and convergence; relaxation (49J45)
Cites Work
- On a mesoscopic many-body Hamiltonian describing elastic shears and dislocations
- Relaxation in crystal plasticity with three active slip systems
- Linear-programming approach to nonconvex variational problems
- Global existence for rate-independent gradient plasticity at finite strain
- Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of \(\mathbf F=\mathbf F^e\mathbf F^p\)
- Numerical analysis of oscillations in nonconvex problems
- Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
- Mixed analytical-numerical relaxation in finite single-slip crystal plasticity
- A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
- A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. I: Continuum formulation
- On the representation of Prandtl-Reuss tensors within the framework of multiplicative elastoplasticity
- An introduction to \(\Gamma\)-convergence
- Macroscopic response of nematic elastomers via relaxation of a class of \(SO(3)\)-invariant energies
- Energetic formulation of multiplicative elasto-plasticity using dissipation distances
- A variational formulation of rate-independent phase transformations using an extremum principle
- Soft elastic response of stretched sheets of nematic elastomers: A numerical study
- Global existence results for viscoplasticity at finite strain
- Plasticity. Mathematical theory and numerical analysis.
- Regularity of quasiconvex envelopes
- Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity
- Nonconvex energy minimization and dislocation structures in ductile single crystals
- Numerical approximation of Young measures in non-convex variational problems
- Convex integration with constraints and applications to phase transitions and partial differential equations
- An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers
- Incompressible inelasticity as an essential ingredient for the validity of the kinematic decomposition \(\mathbf{F} = \mathbf{F}^{\mathrm{e}} \mathbf{F}^{\mathrm{i}}\)
- Numerical study of microstructures in single-slip finite elastoplasticity
- Rate-independent systems. Theory and application
- On the theory of relaxation in nonlinear elasticity with constraints on the determinant
- Single-slip elastoplastic microstructures
- Effective relaxation for microstructure simulations: algorithms and applications
- Analysis of material instabilities in inelastic solids by incremental energy minimization and relaxation methods: evolving deformation microstructures in finite plasticity
- Rate-independent elastoplasticity at finite strains and its numerical approximation
- RELAXATION OF A MODEL IN FINITE PLASTICITY WITH TWO SLIP SYSTEMS
- Relaxation of a model energy for the cubic to tetragonal phase transformation in two dimensions
- Asymptotic Behavior of Crystal Plasticity with One Slip System in the Limit of Rigid Elasticity
- A model for the evolution of laminates in finite‐strain elastoplasticity
- Gradient Theory for Geometrically Nonlinear Plasticity via the Homogenization of Dislocations
- Relaxation of a class of variational models in crystal plasticity
- Numerical Techniques in Relaxed Optimization Problems
- Optimization Problems With Concentration And Oscillation Effects: Relaxation Theory And Numerical Approximation
- Numerical solution of the scalar double-well problem allowing microstructure
- Analysis of microstructure development in shearbands by energy relaxation of incremental stress potentials: Large-strain theory for standard dissipative solids
- Numerical Analysis of Compatible Phase Transitions in Elastic Solids
- Non–convex potentials and microstructures in finite–strain plasticity
- Local Stress Regularity in Scalar Nonconvex Variational Problems
- The quasiconvex envelope of the Saint Venant–Kirchhoff stored energy function
- A note on relaxation with constraints on the determinant
- Infinite-order laminates in a model in crystal plasticity
- A Critical Revisiting of Finite Elasto-Plasticity
- Linear convergence in the approximation of rank-one convex envelopes
- Lower semicontinuity and existence of minimizers in incremental finite‐strain elastoplasticity
- Elastic-Plastic Deformation at Finite Strains
- Reliable and Efficient Approximation of Polyconvex Envelopes
- Direct methods in the calculus of variations
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