On Stressed State of Nonlinear Elastic Medium with Spherical Inclusion

摘要

The paper deals with spatial boundary value problem on stress-strained state of nonlinear elastic medium that contains spherical inclusion. To solve this problem we have developed the method of disturbance of linear elastic which can help to reduce the stated nonlinear problem to the sequences of linear inhomogeneous boundary-value problems. Both a general case and axisymmetrical problems are investigated. We have obtained analytical solution of the problem on the stress-strained state of nonlinear elastic medium with rigid spherical inclusion that is under the effect of ordinary all-round expansion-compression.