The degenerate kernel and superposition technique were employed to solve the screw dislocation problems with circular holes or inclusions. The problem was decomposed into the screw dislocation problem with several holes and the interior Laplace problems for several circular inclusions. Following the success of the null-field integral equation approach, the typical boundary value problems could be solved easily. The kernel functions and unknown boundary densities were expanded by using the degenerate kernel and Fourier series, respectively. To the authors’ best knowledge, the angle-type fundamental solution was first derived in terms of degenerate kernel in this paper. Finally, four examples were demonstrated to verify the validity of the present approach.

A Novel Method for Solving the Displacement and Stress Fields of an Infinite Domain with Circular Holes and/or Inclusions Subject to a Screw Dislocation. J.T.Chen, K.H.Chou, Y.T.Lee: Acta Mechanica, 2011, 218[1-2], 115-32