An effective XFEM with equivalent eigenstrain for stress intensity factors of homogeneous plates

摘要

Based on the concept of equivalent eigenstrain, a low-order accurate eXtendedudFinite Element Method (XFEM) is presented. The aim is the determination ofudthe stress intensity factors of cracked homogeneous specimens. The proposedudapproach differs from the conspicuous amount of existing contributions on thisudtopic. The findings of the present paper highlight aspects so far neglected inudthe literature, such as the mechanical meaning of additional fields and equationsudspecific to the XFEM approximation of the displacement field. Moreover, basedudon the plane strain examples simulated in the present study, the proposed XFEMudis generally computationally more robust and accurate than existing comparableudXFEMs, while keeping a minimal implementation effort.