Paper number 220

INTERACTION BETWEEN A HOLE AND AN ELASTIC CIRCULAR INCLUSION UNDER A REMOTE UNIFORM HEAT FLOW

C. K. Chao

Department of Mechanical Engineering,
National Taiwan University of Science and Technology,
43, Keelung road, Section 4, Taipei, Taiwan, 106, R. O. C.

Summary

The plane problem for a circular elastic inclusion interacted with an arbitrarily oriented hole under a remote uniform heat flow, is solved in this work. The proposed method is based on the complex variable theory and the existing solutions for dislocation functions which permit us to formulate boundary integral equations with a weak singular kernel. The unknown coefficients leaving in the singular integral equations can thus be solved numerically by applying the appropriate interpolation formulae. The hoop stresses, which are directly related to the coefficients of dislocation functions, are then determined accordingly. Several numerical examples are given to demonstrate the use of the present approach. Comparisons between the calculated numerical results and the corresponding existing solutions show that the method proposed here is effective, simple and general.

Keywords

circular elastic inclusion, dislocation function.