Acta Mechanica Solida Sinica

, Volume 21, Issue 4, pp 369–374

# Dynamically Asymptotic Solutions Near Mode II Crack-Tips

• Bo Zhou
• Zhenqing Wang
• Wenyan Liang
Article

## 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.

## Key Words

elastic-viscoplastic material dynamic crack asymptotic differential equations

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