Modeling and optimization of non-symmetric plates

DOI10.1051/m2an/1997310607331zbMath0894.73088OpenAlexW2486707167MaRDI QIDQ4370799

Juan M. Viaño, Lino Jose Alvarez-Vázquez

Publication date: 10 September 1998

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

Full work available at URL: https://eudml.org/doc/193854

zbMATH Keywords

existenceasymptotic methodthree-dimensional elasticityuniquenessshape optimizationpenalty methodslimit model

Mathematics Subject Classification ID

Plates (74K20) Optimization problems in solid mechanics (74P99)

Related Items (1)

Asymptotic modelling of a nonsymmetric beam

Cites Work

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• Optimal control of a variational inequality with applications to structural analysis. I: Optimal design of a beam with unilateral supports
• A classification of thin shell theories
• A new model for thin plates with rapidly varying thickness
• Optimal control of a variational inequality with applications to structural analysis. II: Local optimization of the stress in a beam. III: Optimal design of an elastic plate
• Construction d'un modèle d'évolution de plaques avec terme d'inerte de rotation
• Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods
• Reinforced and honey-comb strucures
• Les equations de von Kármán
• A justification of the von Kármán equations
• A remark on the von Kármán equations
• Two-dimensional approximations of three-dimensional eigenvalue problems in plate theory
• The effect of different scalings in the modelling of nonlinearly elastic plates with rapidly varying thickness
• A justification of a nonlinear model in plate theory
• A boundary-layer theory for elastic plates
• A new model for thin plates with rapidly varying thickness. II. A convergence proof
• A new model for thin plates with rapidly varying thickness. III. Comparison of different scalings
• Asymptotic thermoelastic behavior of flat plates
• Justification de modèles de plaques non linéaires pour des lois de comportement générales
• The effect of a thin inclusion of high rigidity in an elastic body
• Comparaison entre les modèles tridimensionnels et bidimensionnels de plaques en élasticité
• Justification of the two-dimensional equations of a linearly elastic shallow shell
• A new model for nonlinear elastic plates with rapidly varying thickness, ii: the effect of the behavior of the forces when the thickness approaches zero
• A new model for nonlinear elastic plates with rapidly varying thickness
• Derivation of an approximate theory of bending of a plate by the method of asymptotic integration of the equations of the theory of elasticity

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