Caustic analysis based on higher-order asymptotic stress field of mode II crack tip of nonuniform propagation

Jing Fang; Ya-Pu Zhao; Jiang Qi

doi:10.1117/12.163652

25 November 1993 Caustic analysis based on higher-order asymptotic stress field of mode II crack tip of nonuniform propagation

Jing Fang, Ya-Pu Zhao, Jiang Qi

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Proceedings Volume 2000, Current Developments in Optical Design and Optical Engineering III; (1993) https://doi.org/10.1117/12.163652
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

An interpretation of the dynamic caustics of optical shadow is presented for the mode II nonuniformly propagating crack by considering the higher-order expansion of the stress field near the crack tip. The asymptotical analysis of the local stress involves not only the instantaneous speed v(t) of the moving crack tip and the instantaneous stress intensity factor K_II(t) but their time derivatives dv(t)/dt and dK_II(t)/dt as well. Through the gradient of the nearfield stress distribution with radial coordinate terms of r^-1/2 and r^1/2, the mapping equations of the optical shadows of dynamic caustics are obtained for the fast running crack of shear mode.

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Jing Fang, Ya-Pu Zhao, and Jiang Qi "Caustic analysis based on higher-order asymptotic stress field of mode II crack tip of nonuniform propagation", Proc. SPIE 2000, Current Developments in Optical Design and Optical Engineering III, (25 November 1993); https://doi.org/10.1117/12.163652

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KEYWORDS

Gadolinium

Near field optics

Bismuth

Cadmium

Image transmission

Near field

Stress analysis

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