Finite Element Analysisofthe E-integral for a Frictional Crack under the Several Loading Histories

Abstract

In this paper, we analyze the path-independent E-integral for a frictional crack subjected to remote compressive loads using the finite element method. We find that the E-integral of the complementaryenergy type gives the energy release rate under the proportional compressive loads with a high accuracy. We then obtain the closed form solutions of the work change rate for a frictional crack under the several loading histories, and find that the E-integral also agree well with the obtained solutions for several loading histories.