The solution of an initial-boundary value problem for bending of a piecewise-homogeneous thermoelastic plate with transverse shear deformation is represented as various combinations of single-layer and double-layer time-dependent potentials. The unique solvability of the boundary integral equations
Boundary Integral Equations for Multiply Connected Plates
β Scribed by Igor Chudinovich; Christian Constanda
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 143 KB
- Volume
- 244
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A wavelet boundary element method (WBEM) for boundary integral equations is presented. A discrete approximating integral equation is derived by expanding the function into a wavelet series. Using a circulant matrix method, the coecient matrix is obtained from the values of the kernel functions on th
## Communicated by E. Meister We consider the plate equation in a polygonal domain with free edges. Its resolution by boundary integral equations is considered with double layer potentials whose variational formulation was given in Reference 25. We approximate its solution (u, (ju/jn)) by the Gale
In this paper, we consider solving potential equations by the boundary integral equation approach. The equations so derived are Fredholm integral equations of the ΓΏrst kind and are known to be ill-conditioned. Their discretized matrices are dense and have condition numbers growing like O(n) where n
In the paper the bending problem of moderately thick symmetrically laminated anisotropic plates is considered, based on the first-order transverse shear deformation plate theory. Using the method of plane wave decomposition and Hormander's operator method, the fundamental solution of the plates is p