The Solvability of Boundary Integral Equations for the Dirichlet and Neumann Problems in the Theory of Thin Elastic Plates
From MaRDI portal
Publication:4786941
DOI10.1177/108128650100600304zbMath1018.74023OpenAlexW2112489062MaRDI QIDQ4786941
Christian Constanda, Igor Yu. Chudinovich
Publication date: 26 January 2003
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/108128650100600304
existenceuniquenessDirichlet problemsweak solutionsboundary integral equationstransverse shear deformationcontinuous dependence on dataplatesNeumann problemspotential methods
Related Items
Boundary integral equations for multiply connected plates ⋮ Existence and integral representations of weak solutions for elastic plates with cracks ⋮ Displacement-traction boundary value problems for elastic plates with transverse shear deformation ⋮ Degenerate scale for the analysis of circular thin plate using the boundary integral equation method and boundary element methods ⋮ Integral representations of the solutions for a bending plate on an elastic foundation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Robin problem for the equations of thin plates
- Variational treatment of exterior boundary-value problems for thin elastic plates
- On integral solutions of the equations of thin plates
- Fredholm equations of the first kind in the theory of bending of elastic plates
- Mixed problems in the theory of bending of elastic plates with transverse shear deformation
- Weak solutions of interior boundary-value problems for plates with transverse shear deformation
- On the Direct and Indirect Methods in the Theory of Elastic Plates
- Elastic Boundary Conditions in the Theory of Plates
- The boundary equation method in the third initial boundary value problem of the theory of elasticity. Part 1. Existence theorems
- Displacement-traction boundary value problems for elastic plates with transverse shear deformation