Shape derivatives for an augmented Lagrangian formulation of elastic contact problems

DOI10.1051/cocv/2020063zbMath1468.35067OpenAlexW3090609127MaRDI QIDQ4999591

Bastien Chaudet-Dumas, Jean Deteix

Publication date: 7 July 2021

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

Full work available at URL: https://doi.org/10.1051/cocv/2020063

zbMATH Keywords

elliptic variational inequalitiesaugmented Lagrangian methodunilateral contactshape and topology optimizationconical differentiability

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Contact in solid mechanics (74M15) Optimization of shapes other than minimal surfaces (49Q10) Topological methods for optimization problems in solid mechanics (74P15) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (5)

Uniqueness theorem for a coupled system of wave equations with incomplete internal observation and application to approximate controllability ⋮ Shape optimization of a linearly elastic rolling structure under unilateral contact using Nitsche's method and cut finite elements ⋮ Shape Optimization for Variational Inequalities: The Scalar Tresca Friction Problem ⋮ A shape optimization algorithm based on directional derivatives for three‐dimensional contact problems ⋮ Shape sensitivity analysis of an elastic contact problem: convergence of the Nitsche based finite element approximation

Cites Work

• Shape optimization in 2D contact problems with given friction and a solution-dependent coefficient of friction
• Shape design sensitivity analysis of plates and plane elastic solids under unilateral constraints
• Contrôle dans les inéquations variationelles elliptiques
• Conical differentiability for evolution variational inequalities
• Shape variation and optimization. A geometrical analysis
• Optimization of the domain in elliptic variational inequalities
• A boundary differential equation for thin shells
• Shape Optimization for a Class of Semilinear Variational Inequalities with Applications to Damage Models
• Optimal Shape Design Subject to Elliptic Variational Inequalities
• Lagrange Multiplier Approach to Variational Problems and Applications
• Shape Sensitivity Analysis of Unilateral Problems
• Shape sensitivity analysis of contact problem with prescribed friction
• Shape optimization in unilateral contact problems using generalized reciprocal energy as objective functional
• On optimization of systems governed by implicit complementarity problems^*
• Shape Optimization in Contact Problems with Coulomb Friction
• Shape Derivatives for the Penalty Formulation of Elastic Contact Problems with Tresca Friction
• Shape Optimization in Contact Problems with Coulomb Friction and a Solution-Dependent Friction Coefficient
• Optimal Control in Some Variational Inequalities
• Optimal Control of a Viscous Two‐Field Gradient Damage Model
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