Approximation of a simply supported plate with obstacle

DOI10.1177/1081286517718228zbMath1404.74127OpenAlexW2737887680MaRDI QIDQ4562567

Dan Tiba, Cornel Marius Murea

Publication date: 17 December 2018

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://univoak.eu/islandora/object/islandora%3A84068

zbMATH Keywords

penalizationfree boundary problemslinear approach

Mathematics Subject Classification ID

Variational inequalities (49J40) Contact in solid mechanics (74M15) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65)

Uses Software

• FreeFem++

Cites Work

• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
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• Optimization of Elliptic Systems
• Fixed domain approaches in shape optimization problems with Dirichlet boundary conditions
• A Quadratic $C^0$ Interior Penalty Method for the Displacement Obstacle Problem of Clamped Kirchhoff Plates
• Mixed Finite Element Methods and Applications
• New development in freefem++
• A Partition of Unity Method for the Obstacle Problem of Simply Supported Kirchhoff Plates
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