Elastic Solutions in a Semi-Infinite Solid with an Ellipsoidal Inclusion

摘要

The elastic field caused by an ellipsoidal inclusion in a semi-infinite solid isinvestigated. The solutions for the inclusion with misfit stress-free strain components (e superscript T) sub ij with (e superscript T) sub 11 = (e superscript T) sub 22 and (e superscript T) sub 12 = 0 are solved by the application of the Hankel transformation method for the solution of axisymmetric problems together with Mindlin's solution for the nuclei of strain in the semi-infinite solid and Eshelby's solution for ellipsoidal inclusions. The resultant stresses have the property that the traction vanishes across the plane boundary of the solid. (EMK)