Existence and uniqueness in the theory of bending of elastic plates

DOI10.1017/S0013091500017399zbMath0589.73049MaRDI QIDQ3718253

Christian Constanda

Publication date: 1986

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

boundary integral equation methodequilibrium equationselastic platesDirichlet and Neumann problemsapproximate two-dimensional theory of bendingKirchhoff's kinematic hypothesis

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 (10)

Uniqueness in the theory of bending of elastic plates ⋮ On complex potentials in elasticity theory ⋮ 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 ⋮ On existence theorems in the theory of extensional motions of thin micropolar plates ⋮ Differentiability of the solution of a system of singular integral equations in elasticity ⋮ 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

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