Uniqueness in the theory of bending of elastic plates

DOI10.1016/0020-7225(87)90071-1zbMath0604.73007OpenAlexW2068043227MaRDI QIDQ1083248

Christian Constanda

Publication date: 1987

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(87)90071-1

zbMATH Keywords

bendingsystem of equilibrium equationsBetti and Somigliana formulaemethod of singular solutions

Mathematics Subject Classification ID

Plates (74K20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (6)

Full weak uniqueness in anisotropic time-dependent Mindlin theory for plates ⋮ Asymptotic behaviour of the solution of bending of a thin infinite plate ⋮ Potentials with integrable density in the solution of bending of thin plates ⋮ Existence theorems in the theory of bending of micropolar plates ⋮ Fundamental sequences of functions in the approximation of solutions to exterior problems in the bending of thin micropolar plates ⋮ Complete systems of functions for the exterior Dirichlet and Neumann problems in the bending of Mindlin-type plates

Cites Work

• On the formulation of contact problems of shells and plates
• Complex variable treatment of bending of micropolar plates
• Some comments on the integration of certain systems of partial differential equations in continuum mechanics
• Existence and uniqueness in the theory of bending of elastic plates
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