Abstract
Description on dynamic behaviours of crack-tips is one of the important foundations to develop a reasonable dynamic fracture criterion. In order to describe the dynamic behaviours of the crack-tip in a material with low viscosity-number, the displacement potential function is assumed as a mathematical expression with exponential singularity. The asymptotic linear differential equations determining plane crack-tip field are established based on the mechanical constitutive model for elastic-viscoplastic materials. According to the conditions of determining solutions for dynamic cracks of mode II, the crack-tip stress fields are numerically simulated based on the asymptotic linear differential equations. Results show the asymptotic linear equations can well describe the crack-tip fields of plane dynamic cracks in the elastic-viscoplastic material with low viscosity-number.
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Project supported by China Postdoctoral Science Foundation (No.20080430933) and the Program of Doctor Foundation of Ministry of Education of China (No.20060217010).
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Zhou, B., Wang, Z. & Liang, W. Dynamically Asymptotic Solutions Near Mode II Crack-Tips. Acta Mech. Solida Sin. 21, 369–374 (2008). https://doi.org/10.1007/s10338-008-0845-y
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DOI: https://doi.org/10.1007/s10338-008-0845-y