Analytics study on the problem of two holes having arbitrary shapes and arrangements in plane elastostatics

摘要

By using Schwarz alternating method, this paper presents a simplified alternating algo- rithm for the problems of two holes having arbitrary shapes and arrangements in an isotropic ho- mogeneous linear elastic infinite region, and obtains stress and displacement fields for random times of iteration. After precision analysis it is found that the results for twenty times of iteration are of very high precision, and those with higher precision can be acquired if the iteration solving is further conducted. The comparison of the results from FEM further proves the reliability of the sim- plified alternating algorithm presented by this paper.