A PROBLEM OF ELASTICITY THEORY FOR A SPACE CONTAINING AN INCLUSION OF ANY STIFFNESS IN SHEAR

摘要

We deduce the formulas for the evaluation of stresses in thin inclusions and their concentration in the matrix near its contour convenient for engineering applications. The influence of stiffness of the inclusion and its geometric parameters on the levels of stresses in the matrix and in the inclusion is investigated. Partial cases of the problem for an ellipsoidal cavity and an absolutely rigid ellipsoidal inclusion are analyzed. The formulas for the evaluation of the corresponding stress intensity factors are obtained.