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Asymptotic field of mode Ⅱ dynamic growing crack in visco-elastic material
作者姓名:TANGLi-qiang ZHENGGui CAIYan-hong
作者单位:SchoolofCivilEngineering,HarbinEngineeringUniversity,Harbin150001,China
摘    要:A mechanical model of visco-elastic material is established in order to investigate viscous effect in dynamic growing crack-tip field of mode Ⅱ. It is shown that in stable creep growing phase, elastic deformation and viscous deformation are equally dominant in the near-tip field, the stress and strain have the same singularity, namely, (σε) ∝r^-1/(n-1). The asymptotic solutions of separatied variables of stress, stain and displacement in crack-tip field are obtained by asymptotic analysis, and the results of numerical value of stress and strain in crack-tip field are obtained by shooting method. Through numerical calculation, it is shown that the near-tip fields are mainly governed by the creep exponent n and Mach number M. By the asymptotic analysis to the crack-tip field, the fracture criterion of mode Ⅱ dynamic growing crack of visco-elastic materials is put forward from the point of view of strain.

关 键 词:粘弹性材料 动力学 动态成长 渐近场
收稿时间:2004-06-14
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