Optimal control of static plasticity with linear kinematic hardening
From MaRDI portal
Publication:3174581
DOI10.1002/zamm.200900378zbMath1284.49026OpenAlexW1984677800MaRDI QIDQ3174581
Roland Griesse, Christian Meyer
Publication date: 17 October 2011
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.200900378
Optimality conditions for problems involving partial differential equations (49K20) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05)
Related Items
Optimal control of perfect plasticity. I: stress tracking, Strong Stationarity for Optimal Control of Variational Inequalities of the Second Kind, Optimal Control of Elastoplastic Processes: Analysis, Algorithms, Numerical Analysis and Applications, A relaxation approach to vector-valued Allen-Cahn MPEC problems, Optimal control of a quasilinear parabolic equation and its time discretization, Optimal control of the sweeping process over polyhedral controlled sets, Quasilinear Variational Inequalities in Ferromagnetic Shielding: Well-Posedness, Regularity, and Optimal Control, Elasto-plastic Shape Optimization Using the Level Set Method, Topology Optimization for Incremental Elastoplasticity: A Phase-Field Approach, Characteristics of testing conditions for constitutive models in metal plasticity, Optimization of mixed variational inequalities arising in flow of viscoplastic materials, Second-order sufficient optimality conditions for optimal control of static elastoplasticity with hardening, Strong Stationarity for Optimal Control of a Nonsmooth Coupled System: Application to a Viscous Evolutionary Variational Inequality Coupled with an Elliptic PDE, Optimal Control of Static Elastoplasticity in Primal Formulation
Cites Work
- Pontryagin's principle in the control of semilinear elliptic variational inequalities
- Contrôle dans les inéquations variationelles elliptiques
- Regularity and stability for the mathematical programming problem in Banach spaces
- Optimal control of elliptic variational inequalities
- Numerical analysis of the primal problem of elastoplasticity with hardening
- Inverse Coefficient Problems for Variational Inequalities: Optimality Conditions and Numerical Realization
- An active-set equality constrained Newton solver with feasibility restoration for inverse coefficient problems in elliptic variational inequalities
- Mathematical Programs with Complementarity Constraints in Function Space: C- and Strong Stationarity and a Path-Following Algorithm
- Pontryagin Maximum Principle for Optimal Control of Variational Inequalities
- Optimal Control of Problems Governed by Abstract Elliptic Variational Inequalities with State Constraints
- An Extension of Pontryagin’s Principle for State-Constrained Optimal Control of Semilinear Elliptic Equations and Variational Inequalities
- Optimal Control in Some Variational Inequalities
