【摘要】 本文研究了在应变损伤材料中的动裂纹尖端弹塑性场假定介质服从J₂流动理论,且损伤规律以幂函数应变弱化的形式渐进地给出。对于平面应变问题导出了本构关系,并在泊松比V=1/2的情况下得到简化。本文给出动弹塑性场的渐进方程,并对Ⅰ型裂纹进行了解答。位移、应变和应力被展成的级数,所以得到了场的渐进特性。结果表明,裂纹尖端的应变具有对数奇异性,而应力的量级则为。更多还原

【Abstract】 In this paper the dynamic elastic-plastic field near a crack-tip running in a strain-damage material is investigated. The medium is assumed to obey the J2 flow theory and the damage rule is given ffsymptolically in a form like power-law strain softening. For the plane strain problem the constitutive relation is Derived and much simplified for the case of poisson’s ratioThe asymptotic equation of the dynamic elastic-plastic field are given and solved for the mode I crack.The displacement, strains, and stresses are expaned in series oftherefore the asymptotic behaviour of the field is revealed, The results show thatat the crack tip the strain possess the bgarcthmic singularitywhile the stress is like更多还原