An object oriented program of meshfree methods for analyzing of 2D and 3D elastostatic problems

In this study, several object oriented and structured programs are developed using Matlab and Fortran programming languages. In these programs, various meshfree methods are used such as LRPIM, MLPG and RPIM with different integration schemes. The performance of each program, efficiency of integration schemes and shape parameters of RPIM are investigated in details. In the first part of this study, LRPIM and MLPG methods are used inside an object oriented program to test the classes and objects. Developed program is applied in the solutions of 2D and 3D elasto-static problems. The modularity of the program is main target in this part of the study. In the second part, a nodal integration scheme is used in RPIM with a structured program for solution of 2D and 3D elasto-static problems. Higher order terms of Taylor series expansion are used for increasing solution accuracy. Various integration domain shapes are used for integrations of regular and irregular distributed nodes in the problem domains. Optimum shape parameters of RPIM and support domain sizes are determined. In the last part, stress fluctuations in nodal integration results have been decreased with three different applications.