Shape optimization in unilateral contact problems using generalized reciprocal energy as objective functional

DOI10.1016/0362-546X(93)90048-WzbMath0809.49037OpenAlexW1997508826WikidataQ58878591 ScholiaQ58878591MaRDI QIDQ4291628

Anders Klarbring, Jaroslav Haslinger

Publication date: 16 June 1994

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

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90048-w

zbMATH Keywords

Signorini problemshape optimizationcontact problemtwo-dimensional linear elasticity

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Optimization of shapes other than minimal surfaces (49Q10) Optimization problems in solid mechanics (74P99) Theories of friction (tribology) (74A55)

Related Items (9)

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 ⋮ Shape sensitivity analysis of an elastic contact problem: convergence of the Nitsche based finite element approximation ⋮ A 3D FEM-BEM rolling contact formulation for unstructured meshes ⋮ A computational methodology for shape optimization of structures in frictionless contact ⋮ Contact shape optimization based on the reciprocal variational formulation. ⋮ Sensitivity analysis for unilateral contact problems: Boundary variational formulations and B.E.M. discretisations ⋮ Shape optimisation with the level set method for contact problems in linearised elasticity ⋮ Shape derivatives for an augmented Lagrangian formulation of elastic contact problems

Cites Work

• On the problem of optimizing contact force distributions
• Necessary optimality conditions for Stackelberg problems
• The reciprocal variational approach to the Signorini problem with friction. Approximation results
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Shape optimization in unilateral contact problems using generalized reciprocal energy as objective functional