Elasto-plastic analysis of thick beams using meshfree methods

In this thesis, elasto-plastic analysis of thick beams is presented using Point Interpolation Method (PIM) and Radial Point Interpolation Method (RPIM) using two different integration schemes. In the first one, standard Gauss integration scheme is used using background integration cells. In the second one, however, a nodal integration scheme is used based on Taylor Series. A computer program is developed for these algorithms in MATLAB. Different case studies are solved using developed program and they are tested for various support domain sizes and RPIM shape parameters. Their effects are investigated on the solution accuracy in details.