Shape optimization in contact problems. Approximation and numerical realization

DOI10.1051/m2an/1987210202691zbMath0616.73108OpenAlexW2498832571MaRDI QIDQ4725884

Pekka Neittaanmäki, Jaroslav Haslinger

Publication date: 1987

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193503

zbMATH Keywords

sensitivity analysisshape optimizationlinear constraintsnonconvexoptimal designcontact surfacenonlinear state problemrigid frictionless foundationminimized total potential energysmooth minimizationtwo dimensional elastic body unilaterally supportedvariant of conjugate gradient method

Mathematics Subject Classification ID

Variational inequalities (49J40) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Optimization problems in solid mechanics (74P99) Theories of friction (tribology) (74A55)

Related Items

Shape optimization in contact problems with desired contact traction distribution on the specified contact surface, 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, Optimal shape design and unilateral boundary value problems: Part II, Shape optimisation with the level set method for contact problems in linearised elasticity

Cites Work

• Sensitivity of functionals with applications to engineering sciences. Proceedings of a Special Session of the American Mathematical Society Spring Meeting held in New York City, May 1983
• Application de la méthode des éléments finis à l'approximation d'un problème de domaine optimal. Méthodes de résolution des problèmes approches
• Penalty method in design optimization of systems governed by a unilateral boundary value problem
• Directional derivates in minimax problems^(∗)
• On optimal shape design of systems governed by mixed Dirichlet‐Signorini boundary value problems
• On Korn's second inequality
• On the existence of optimal shapes in contact problems
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