Determination of the strength characteristics of a physically nonlinear inclusion in a linearly elastic medium

An isotropic elastic plane with a physically nonlinear inclusion with unknown properties is considered. The general relations between the stress-strain state of the inclusion and the loads applied at infinity are obtained. These relations are used to develop a method of determining the viscoelastoplastic properties of an inclusion that is based on measurement of the displacement vectors of two points that lie on the boundary of the inclusion and are nonsymmetrical with respect to its center. This makes it possible to find numerical values of the constants that enter the constitutive equations of an inclusion.