Optimal control of perfect plasticity. I: stress tracking
DOI10.3934/mcrf.2021022zbMath1485.49023OpenAlexW3136584094MaRDI QIDQ2119438
Stephan Walther, Christian Meyer
Publication date: 29 March 2022
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mcrf.2021022
optimal control of variational inequalitiesperfect plasticityYosida regularizationfirst-order necessary optimality conditionsrate-independent systemsDirichlet control problems
Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Nonsmooth analysis (49J52) Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Fréchet and Gateaux differentiability in optimization (49J50) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05)
Cites Work
- Unnamed Item
- Unnamed Item
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- Integrability of displacement and stresses in linear and nonlinear elasticity with mixed boundary conditions
- Optimal control of quasistatic plasticity with linear kinematic hardening II: regularization and differentiability
- A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
- Existence theorems for plasticity problems
- Computational inelasticity
- Plasticity. Mathematical theory and numerical analysis.
- Rate-independent systems. Theory and application
- Optimal control of a rate-independent evolution equation via viscous regularization
- Quasistatic evolution problems for linearly elastic-perfectly plastic materials
- Optimal control of quasistatic plasticity with linear kinematic hardening. III: Optimality conditions
- Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems
- Quasi-Static Small-Strain Plasticity in the Limit of Vanishing Hardening and Its Numerical Approximation
- Error bounds for a Dirichlet boundary control problem based on energy spaces
- Optimal control of static plasticity with linear kinematic hardening
- Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations
- Elasto-plastic Shape Optimization Using the Level Set Method
- Optimal Control of Quasi-static Plasticity with Linear Kinematic Hardening, Part I: Existence and Discretization in Time
- C-Stationarity for Optimal Control of Static Plasticity with Linear Kinematic Hardening
- B- and Strong Stationarity for Optimal Control of Static Plasticity with Hardening
- Finite element analysis of the constrained Dirichlet boundary control problem governed by the diffusion problem
