动态裂纹尖端的单参数粘塑性场

Viscoplastic Field near a Propagating Crack-Tip

摘要: 本文给出一种弹性-粘塑性本构模型代替了通常的弹塑性模型,假定在趋向裂纹尖端时粘性系数趋向于零,即η=η₀r,对动态裂纹的尖端场进行了渐近分析.文中给出了适当的位移模式并得到了单参数解.对不同的Mach数和粘性系数作了数值计算。基于这种渐近解提出一种断裂准则并讨论了裂纹扩展的稳定性.

Abstract: An clastic-vise oplastic constitutive model is proposed instead of the usual elastoplastic model. It is assumed tha when crack-lip is approached the viscosity coefficient tends to zero (η=η₀r). Asymptoic analysis of the dynamic field near a propagating crack-tip is given, and the uniparameler solution is obtained. The numerical result is given for various Mach number and viscosity coefficient, Based on the asymptotic solution, a fracture criterion is proposed and the stability of crack propagation is discussed.

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