Abstract: A higher-order theory of caustics for mixed-mode running cracks is developed by using the general asymptotic solutions for a dynamically propagating crack-tip. The analytical expressions are obtained for the Jacobian equation that determines the initial curve, and for the image equations on a screen. Using the higher-order coefficients determined by the finite element simulations of actual dynamic fracture experiments, effects of the higher-order terms on the caustic curve are investigated on the basis of the present theory. It was found that the $ROOT@r stress field plays important roles in the formation of caustic pattern.!14
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