Necessary conditions of first-order for an optimal boundary control problem for viscous damage processes in 2D

DOI10.1051/cocv/2017041zbMath1406.35392arXiv1606.05555OpenAlexW2963335901MaRDI QIDQ4554106

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Publication date: 7 November 2018

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.05555

zbMATH Keywords

optimal controlviscoelasticityoptimality conditionphase-field modeldamage processes

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Theories of fracture and damage (74A45) Optimization problems in solid mechanics (74P99) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with mechanics of deformable solids (35Q74) Coupling of solid mechanics with other effects (74F99) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (2)

Second-order optimality conditions for an optimal control problem governed by a regularized phase-field fracture propagation model ⋮ An Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model. Part II: The Regularization Limit

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