The present paper deals with the applications of special finite element approach, so called analytical constrained method ACM, for calculating nmerical values of stress intensity factors in "oscillatory singularity" regime. The problem is of special importance when stress field exponent is represented by the complex number and characteristic equation exhibits many different exponent values in the range 0-1. Numerical calculations have been carried out for a case of sharp rigid inclusion with unilateral crack, where all conditions described above are fulfilled.
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