幂硬化材料中扩展裂纹尖端场的弹粘塑性分析  

Elastic-viscoplastic Analyses of Propagating Crack-tip Field in Power-hardening Materials

作　　者：贾斌 唐立强[1] 王振清[2] 李加雷 

机构地区：[1]哈尔滨工程大学建筑工程学院,黑龙江哈尔滨150001 [2]哈尔滨工程大学规划建设处黑龙江哈尔滨,150001

出　　处：《哈尔滨工程大学学报》2002年第5期74-79,共6页Journal of Harbin Engineering University

基　　金：黑龙江省自然科学基金资助项目(A00-09).

摘　　要：采用弹粘塑性力学模型,对扩展裂纹尖端的应力和应变场进行了渐近分析.假定应力和应变都具有r-δ(0<δ<1/2)的奇异性,推导出一种率敏感型的本构关系.通过量级分析,讨论了弹性、塑性及粘性三者的匹配条件.对Ⅲ型裂纹进行了具体的分析和计算,讨论了解的性质随各材料参数的变化规律.通过对动态解与准静态解的比较,表明了两者的统一性.当硬化系数为零时,本文的解便退化为Hui和Riedel的粘弹性解.An elastic_viscoplastic model is adopted to investigate asymptotically the stress and strain fields at a propagating crack_tip. A rate_sensitiυe constitutiυe relationship is derived with the assumption that both the stress and strain possess the singularity of r-δ(0<δ<1/2). It is discussed, by means of asymptotic analyses, the matching conditions among elasticity, plasticity and viscosity. Numerical computations are carried out for mode III crack and the variations of solution are discussed according to each material parameter. The unison of dynamic and quasi_static solutions is indicated through comparisons of them. The solution can be transformed to the elasto_viscous one obtained by Hui and Riedel when the hardening coefficient is zero. 

关 键 词：幂硬化材料 准静态扩展 动态扩展 弹粘塑性材料 裂纹尖端场 裂纹扩展 

分 类 号：O345[理学—固体力学] O346.1[理学—力学]