Publisher's Synopsis
This volume examines two important and powerful techniques, the integral equation method and the stress function method, which are used in the investigation of equations and systems arising from solid mechanics.;The text explores the displacement (Dirichlet) and traction (Neumann) boundary value problems to create a simplified theory of bending of elastic plates. It also analyzes the generalized Fourier series technique and identifies a fundamental sequence of functions in the space of the solution, by means of which approximations can then be constructed.;The techniques presented in this work transcend the boundaries of plate theory and could prove to be of benefit to any researcher who requires the solution of a model described by a boundary value problem for an elliptic system of linear differential equations.