2B büyük deformasyon problemleri için ağsiz yöntemler

In this work, PIM and RPIM are used in the solution of 2D geometrical nonlinear and elasto-plastic problems. The effect of shape parameters are investigated in the solutions. The optimum values of shape parameters are either validated or proposed.The singular moment matrix problem in the PIM is discussed in detail and two new algorithms are proposed: A diagonal offset algorithm and Regular based algorithm. They are numerically tested and applied in the solution of 2D elastic problems. The regular basis algorithm gives excellent results with regular distributed field nodes.A number of programs are developed for the solution of 2D geometrically nonlinear and elasto-plastic problems. Mathematica, Fortran 95 and Matlab are used in the programming stages. The PIM and RPIM shape function are successfully implemented in these programs.