Higher-order theory of caustics for fast running cracks under general loadings

Toshihisa Nishioka; R. Murakami; Seitaro Matsuo; Y. Ohishi

doi:10.1117/12.49531

1 December 1991 Higher-order theory of caustics for fast running cracks under general loadings

Toshihisa Nishioka, R. Murakami, Seitaro Matsuo, Y. Ohishi

Proceedings Volume 1554, Second International Conference on Photomechanics and Speckle Metrology; (1991) https://doi.org/10.1117/12.49531
Event: San Diego, '91, 1991, San Diego, CA, United States

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 √r stress field plays important roles in the formation of caustic pattern.

Citation Download Citation

Toshihisa Nishioka, R. Murakami, Seitaro Matsuo, and Y. Ohishi "Higher-order theory of caustics for fast running cracks under general loadings", Proc. SPIE 1554, Second International Conference on Photomechanics and Speckle Metrology, (1 December 1991); https://doi.org/10.1117/12.49531

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