The present paper deals with analytical and numerical solutions for multiple stress field singularities - real and oscillatory - at the crack tip. Such stress fields may appear in composite materials with cracks. Numerical values of generalised stress intensity factors, K I (λ r) , K II (λ r) (and higher order terms coefficients have been determined by using numerical FEM results and special approximate functions AF. Analytical and numerical calculations have been done as an example for a rigid square inclusion with symmetric cracks located along the bond and subjected to normal longitudinal and transverse loading.
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