Energy changes in transforming solids. Continuation proposal for the period January 1--December 31, 1990

This report describes work completed, work in progress, and work planned during the continuation of funding. Research is being carried out on the following: bonded inclusions are being treated as problems of a homogeneous body; the problem of two cavities or inclusions is being studied; the examination of non-classical transformations is leading to conservation laws in statics and dynamics with applications in fracture and defect mechanics; mathematical and physical modeling of damage in brittle solids is being performed; a theoretical and numerical study of subsonic interfacial waves in bonded piezoelectric dissimilar half-spaces has been completed; the study of which crystal classes are capable of admitting the so-called Type 3 transonic state in anisotropic elasticity is also complete; and wave studies will be extended into the supersonic regime. The authors also intend to complete a study of the general self-force on a 3-dimensional dislocation loop element in an elastic medium of arbitrary anisotropy, as this is currently a needed ingredient in modern fracture and damage mechanics and in the study of defects in integrated circuit materials.