zbMATH — the first resource for mathematics

The elastic inclusion with a sliding interface. (English) Zbl 0544.73018
Summary: It is found that when an ellipsoidal inclusion undergoes a shear eigenstrain and the inclusion is free to slip along the interface, the stress field vanishes everywhere in the inclusion and the matrix. It is assumed in the analysis that the inclusion interface cannot sustain any shear traction. There exists a shear deformation that transforms an ellipsoid into the identical ellipsoid without changing its orientation (ellipsoid invariant transformation). This is not true, however, for a spheroidal inclusion. The amount of slip and the associated stress field are calculated for a spherical inclusion for a given uniform eigenstrain \(\epsilon^*_{ij}\).

74E05 Inhomogeneity in solid mechanics
Full Text: DOI