Interaction between a screw dislocation and an elastic elliptical inhomogeneity by using the angular basis function

The behavior of displacement field due to a screw dislocation is similar the angular basis function (ABF) Arg(z). It different from radial (RBF) ln(r) that used describe velocity potential sink or source. Nevertheless, complex-valued fundamental solution ln(z) contains two parts RBF and ABF In this paper, not only in null-field boundary integral equation (BIE) but also for are employed study interaction between an elastic elliptical inhomogeneity. This problem decomposed into free with value containing solved by using BIE. Since geometric shape ellipse, degenerate kernel expanded series form under coordinates, while unknown densities eigenfunctions. By combining BIE, can be easily solved. inconsistency Sendeckyj (In: Simmons JA, et al (eds) Fundamental aspects theory. US National Bureau Standards, Gaithersburg, pp 57–69, 1970) Gong Meguid (Int J Eng Sci 32(8):1221–1228, 1994) was found present approach. error printed out. Finally, some examples demonstrated verify validity