Meshless Local Boundary Element Method For Elasticity And Applycation Research

Traditional numerical methods of mechanics depend on elements or meshees. It is limited in application. Meshless approximation methods are based on nodes, not elements, it is much more easy to apply meshless methods. Meshless Local Boundary Element Method, as a real meshless method, is a syntheses which has the characters of meshless methods, Boundary Element Method and Galerkin Finite Element Method. It is fit to apply in engineering problems.In the thesis, Local Boundary Integral Equation(LBIE) for elasticity is derived, and the Moving Least-square (MLS) meshless approximation is used to build the discrete format of Meshless Local Boundary Element Method. Correctional fundamental solutions are also worked out and add in. Based on the method, a computer program is constructed, and an error estimate module is loaded.The computer program is applied in two typical examples, every parameter in MLS approximation and LBIE which affects the result is tested in numerical experimentation. Through numerical experimentation, some simple methods to choose these parameters are found. By these methods, the Meshless Local Boundary Element Method can be applied to engineering problems and the characters as FEM appear.