Primal-dual sensitivity analysis of active sets for mixed boundary value contact problems

DOI10.1007/s10665-005-9024-zzbMath1104.74047OpenAlexW2137597885MaRDI QIDQ862665

Victor A. Kovtunenko

Publication date: 24 January 2007

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-005-9024-z

zbMATH Keywords

constrained optimizationasymptotic expansions

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Optimization of other properties in solid mechanics (74P10)

Related Items (3)

Optimal control of loads for an equilibrium problem describing a point contact of an elastic body with a sharp-shaped stiffener ⋮ Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body ⋮ Three-dimensional Signorini-type problem for composite bodies contacting with sharp edges of rigid inclusions

Cites Work

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• Modelling and control in solid mechanics
• Semi–Smooth Newton Methods for Variational Inequalities of the First Kind
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• Derivatives of the energy functional for 2D-problems with a crack under Signorini and friction conditions
• Asymptotic analysis for a mixed boundary value contact problem

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