A Method for Calculating Stresses in a Multiply Connected Elastic Body

摘要

An analytical method for determining the stress state in elastic bodies with a cavity is developed. The technique is based on using solutions to problems of the theory of elasticity for two simply connected regions, namely, for a body without a cavity and a space that is the exterior of a cavity. Special operator equations are obtained to determining the required stresses in a multiply connected body. An iterative method for solving these operator equations is proposed. A convergence of successive approximations is proved. An illustrative example is provided.