多孔材料中裂纹尖端的渐近场  

The Crack-Tip Asymptotic Fields in Porous Material

作　　者：陈会军 李永东[1] 唐立强 

机构地区：[1]哈尔滨工程大学建筑工程系,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2000年第3期58-63,共6页Journal of Harbin Engineering University

基　　金：黑龙江省博士后启动基金

摘　　要：由宏观塑性耗散势出发 ,得出多孔材料的屈服函数 ,它类似Lade和Doraivelu模型 .由Ramberg_Os good单轴拉伸模型和相关联流动法则给出描述多孔材料的幂硬化本构关系 .在平面应变条件下 ,得出裂纹尖端的渐近场 .场具有H .R .R奇异性 ,J积分守恒 .场的分布和断裂韧性依赖材料常数α ,它描述在变形中体积变形与形状变形之比 .所得结果 ,在特定条件下与前人研究结果一致 .这些结果为多孔材料结构的设计和断裂韧性的评估提供理论的参考依据 .The elastic_perfectly_plastic and power lawelastic_plastic constitutive relations for porous material were established by the material yield function which accounts the influence of effective stress and hydrostatic stress on plastic deformation of porous material and the associated flow rule.The path_independent J integral introduced by Rice was proved in the case of a crack in porous material.Under plane strain condition,crack_tip stress and strain fields for porous material were obtained.These fields are of the H.R.R.type.The field distribution depends on the material parameter α and hardening exponent n.These results provide the basis for the design of engineering structures.

关 键 词：多孔材料 幂硬化本构关系 裂纹尖端 渐近场 

分 类 号：O346.1[理学—固体力学]