Material forces due to crack-inclusion interaction

摘要

The interaction between a crack and an elastically misfitting inclusion is investigated numerically. The microstructural change of the inclusion's morphology associated with this interaction is discussed using linear elasticity. The misfit is considered purely dilatational and no far field stresses are taken into account. After briefly discussing the theory of configurational forces using Eshelby's energy momentum tensor, a generalized balance equation is obtained to calculate material forces on a crack tip and on the interface of an inclusion, Utilizing a finite element formulation, the generalized balance equation is solved and results are presented for cracks interacting with both hard and soft inclusions.