摘要
采用弹性-粘塑性本构模型,对幂硬化粘塑性介质中反平面剪切动态扩展裂纹尖端的应力、应变场进行了渐近分析,给出了反平面剪切动态扩展裂纹尖端场的渐近方程.分析结果表明,在裂纹尖端应力具有(In(R/r))^(1/(n-1))的奇异性,应变具有(In(R/r))^(n/(n-1))的奇异性.从而本文揭示了幂硬化粘塑性材料反平面剪切动态扩展裂纹尖端场的渐近行为.
The paper adopted elastic-viscoplastic constitutive model, the stress and strain asymptotic fields near a anti-plane shear dynamic propagating crack-tip in power-viscoplastic medium are studied.Asymptotic equations of antiplane share dynamic propagating crack-tip field are given.It is shown that the stress and strain singularites are repectively, of the order(lnR/r)^(1/(n-1))and(lnR/r)^(n/(n-1)).Therefore the asymptotic behaviour near a anti-plane share dynamic propagating crack-tip field in power-law-viscoplastic material is revealed.
关键词
幂硬化
粘塑性材料
动态扩展
singularity distribution
induced potential
induced velocity
