Characteristics of MFS analysis for finite plate problems with a hole

Abstract

Abstract By using the method of fundamental solutions (MFS), an accurate stress field can be obtained in infinite problems. One of the authors has been improving the source loads of the MFS program based on the collocation method to be able to calculate the maximum stress of the notch problem correctly. It is found that the improved MFS, which uses the equally dispersed point loads (EDPL), gives the good accuracy for some infinite problems with high stress concentration factor. To confirm the accuracy, the index of the balanced forces was also proposed. Although, in case of the finite plate with a hole, the stability of accuracy mainly depends on the allocation of the collocation points and the source points. Therefore, in this study, we examine and clarify the proper allocation of the source loads in some finite plates including a center hole with internal pressure