Shape sensitivity analysis of contact problem with prescribed friction

DOI10.1016/0362-546X(88)90087-9zbMath0677.73076OpenAlexW2076829842MaRDI QIDQ3833759

Jan Sokolowski, Jean-Paul Zolésio

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90087-9

zbMATH Keywords

optimal designunilateral problemsLagrange derivativeplane contactnonsmooth variational problemsadhesive friction

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) Contact in solid mechanics (74M15) Optimization problems in solid mechanics (74P99) Theories of friction (tribology) (74A55)

Related Items

Sensitivity analysis of contact problems with prescribed friction, On the Non‐Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces, Optimal design of brittle composite materials: a nonsmooth approach, 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, Shape Derivatives for the Penalty Formulation of Elastic Contact Problems with Tresca Friction, Unnamed Item, Optimization of the domain in elliptic variational inequalities, Sensitivity analysis for a class of \(H_{0}^{1}\)-elliptic variational inequalities of the second kind, Shape derivatives for an augmented Lagrangian formulation of elastic contact problems

Cites Work

• Optimal control in coefficients of boundary value problems with unilateral constraints
• Differential stability of solutions to constrained optimization problems
• Shape sensitivity analysis of an elastic-plastic torsion problem
• Shape design sensitivity analysis of plates and plane elastic solids under unilateral constraints
• Design sensitivity analysis of structural systems
• Sensitivity analysis of contact problems with prescribed friction
• Contrôle dans les inéquations variationelles elliptiques
• How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities
• Optimization of the domain in elliptic variational inequalities
• Resonances and antibound states for the Pöschl-Teller potential: ladder operators and SUSY partners
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