率敏感材料Ⅰ型准静态扩展裂纹尖端的弹黏塑性分析  

The elastic-viscoplastic analysis at the tip of mode Ⅰ quasi-static propagating crack in rate-sensitive material

作　　者：王振清[1] 贾斌[2] 韩玉来[1] 梁文彦[1] 王永军 周博[1] 

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]哈尔滨工业大学复合材料研究所,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2005年第1期30-34,共5页Journal of Harbin Engineering University

基　　金：哈尔滨工程大学基础研究基金资助项目(002020260707).

摘　　要：采用率敏感型本构关系,对不可压缩材料平面应变Ⅰ型准静态扩展裂纹的尖端场进行了渐近分析.引入Airy应力函数,求出了裂纹尖端应力和应变场的控制方程.并对其作渐近分析,推导出了该模型下的本构方程.选取适当的特征参数,给出了边界条件,对控制方程通过双参数打靶进行了数值计算,求得了裂纹尖端的应力应变场.计算结果表明,裂纹尖端的应力和应变均具有r-δ的奇异性,整个裂纹尖端场是由黏塑性区控制,不存在弹性卸载区.By adopting the rate-sensitive constitutive relationship, the propagating tip fields of plane strain mode Ⅰ are asymptotically investigated. The quasi-static equations are obtained separately governing the stress and strain fields at the crack-tip by means of Airy's stress function. Numerical calculations of governing equations are carried out with selections of appropriate values of each characteristic parameter by combinations of boundary, and the fully continuous stress-strain fields are obtained at the crack-tip. The computational results show that there is r^(-δ) singularity of stress and strain in crack tip fields. The whole crack tip field is controlled by visco-platic cone and there is no elastic unloading cone.

关 键 词：率敏感材料 裂纹尖端场 准静态扩展裂纹 弹黏塑性分析 

分 类 号：O34[理学—固体力学]