A series solution of the volume integral equation for multiple-inclusion interaction problems

A modification of the volume integral equation (VIE) method is proposed for the solution of elastostatic 2-D problems in unbounded solids containing i nteracting multiple fibers. The efficiency of the VIE method developed by L ee and Mal (Lee, J., Mal, A. A volume integral equation technique for multi ple inclusion and crack interaction problems. Journal of Applied Mechanics Transactions of ASME 1997;64:23-31) where a weakly singular integral equati on is involved has been improved by the use of a modification in the spirit of a subtraction technique for a single inclusion. The accuracy and effici ency of the method are examined through comparison with results obtained fr om finite element analysis. (C) 2000 Elsevier Science Ltd. All rights reser ved.