Donati compatibility conditions for membrane and flexural shells

DOI10.1142/S0219530514500237zbMath1344.49056OpenAlexW2140411444MaRDI QIDQ2947811

Xiaoqin Shen, Christinel Mardare, Philippe G. Ciarlet

Publication date: 29 September 2015

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530514500237

zbMATH Keywords

membranesDonati compatibility conditionsquadratic minimization problemlinear shell theory

Mathematics Subject Classification ID

Variational inequalities (49J40) Classical linear elasticity (74B05) Shells (74K25) Linear-quadratic optimal control problems (49N10) Membranes (74K15)

Related Items (6)

An existence and uniqueness theorem for the dynamics of flexural shells ⋮ Numerical simulations for the dynamics of flexural shells ⋮ The time-dependent generalized membrane shell model and its numerical computation ⋮ An intrinsic approach to a nonlinear model in shell theory ⋮ Full Discretization Scheme for the Dynamics of Elliptic Membrane Shell Model ⋮ An enriched virtual element method for 2D-3C generalized membrane shell model on surface

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• Functional spaces for norton‐hoff materials
• Intrinsic formulation of the displacement-traction problem in linearized elasticity

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