Shape Derivatives for the Penalty Formulation of Elastic Contact Problems with Tresca Friction
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Publication:5136739
DOI10.1137/19M125813XzbMath1454.35183arXiv2006.02849MaRDI QIDQ5136739
Bastien Chaudet-Dumas, Jean Deteix
Publication date: 27 November 2020
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.02849
Fréchet and Gateaux differentiability in optimization (49J50) Friction in solid mechanics (74M10) 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
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 ⋮ Shape derivatives for an augmented Lagrangian formulation of elastic contact problems
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