Application of mapping theory to boundary integral formulation of 3D dynamic crack problems
The boundary integral equations (BIEs) method is applied for dynamic analysis of an infinite solid with a plane crack of general front shape. The bijective mapping of the crack area into a circular domain is used to derive a new form of the BIEs. In the transforming process the behavior of both the displacement and stress fields in the vicinity of the crack front are considered exactly. The discrete analogues of these equations are constructed in the time and frequency domains. The influence of varying curvature of the crack front on stress intensity factors is studied for elliptic and limaon of Pascal-shaped cracks subjected to the normal Heaviside step and time-harmonic loading.
mapping theory boundary integral equations frequency domain limaon of pascal-shaped crack time-domain 3d infinite solid elliptic crack dynamic stress intensity factor