Shape Optimization in Three-Dimensional Contact Problems with Coulomb Friction

DOI10.1137/080714427zbMath1186.49028OpenAlexW2074865168WikidataQ109654963 ScholiaQ109654963MaRDI QIDQ5189566

Petr Beremlijski, Radek Kučera, Michal Kočvara, Jiří V. Outrata, Jaroslav Haslinger

Publication date: 17 March 2010

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/735c4baa910224d0356501aaba6bbf1c2fffc291

zbMATH Keywords

Coulomb frictionshape optimizationcontact problemsmathematical programs with equilibrium constraints

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (11)

Inverse truss design as a conic mathematical program with equilibrium constraints ⋮ On the solution of contact problems with Tresca friction by the semismooth* Newton method ⋮ A vector forward mode of automatic differentiation for generalized derivative evaluation ⋮ Parallel solution of contact shape optimization problems based on total FETI domain decomposition method ⋮ Theoretical analysis of discrete contact problems with Coulomb friction. ⋮ Shape Optimization for Variational Inequalities: The Scalar Tresca Friction Problem ⋮ A shape optimization algorithm based on directional derivatives for three‐dimensional contact problems ⋮ On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction ⋮ Solution of 3D contact shape optimization problems with Coulomb friction based on TFETI. ⋮ Shape optimization in 2D contact problems with given friction and a solution-dependent coefficient of friction ⋮ Bidirectional evolutionary optimization design of material stiffness for the uniformity of the contact stress

This page was built for publication: Shape Optimization in Three-Dimensional Contact Problems with Coulomb Friction