Existence and uniqueness of weak solutions for a thin plate with elastic boundary conditions

DOI10.1016/S0893-9659(99)00184-6zbMath0966.74044MaRDI QIDQ1588750

Igor Yu. Chudinovich, Christian Constanda

Publication date: 4 December 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesweak solutiontransverse shear deformationdouble layer potentialunique solvabilityRobin conditionsingle layer potentialthin elastic platessystems of boundary integral equations

Mathematics Subject Classification ID

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

Related Items (3)

Full weak uniqueness in anisotropic time-dependent Mindlin theory for plates ⋮ Degenerate scale for the analysis of circular thin plate using the boundary integral equation method and boundary element methods ⋮ On the existence of weak solutions of anisotropic generally restrained plates

Cites Work

• Boundary Integral Equations for Thermoelastic Plates with Cracks
• Weak solutions of interior boundary-value problems for plates with transverse shear deformation
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