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空间体J积分表达式及其守恒性
引用本文:陈国栋,吕运冰,汪冬生.空间体J积分表达式及其守恒性[J].武汉理工大学学报(交通科学与工程版),2007,31(1):130-132.
作者姓名:陈国栋  吕运冰  汪冬生
作者单位:武汉理工大学交通学院,武汉,430063
摘    要:受Rice的J积分的启发文中定义了空间体J积分,从三维角度定义了J积分的空间表达方式,并证明了文中定义的由闭合曲面表达的空间J积分具有守恒性,是对Rice的二维J积分理论的拓展和延伸,为研究求解含裂纹的弹塑性断裂问题提出了新思路.

关 键 词:J积分  三维空间  Gauss  定理  守恒性
修稿时间:2006-11-12

Definition of J Integral and the Prove of It's Integral Conservation in Three Dimensions
Chen Guodong,Lü Yunbing,Wang Dongsheng.Definition of J Integral and the Prove of It''''s Integral Conservation in Three Dimensions[J].journal of wuhan university of technology(transportation science&engineering),2007,31(1):130-132.
Authors:Chen Guodong  Lü Yunbing  Wang Dongsheng
Institution:School of Transportation, Wuhan Univ. of Tech. , Wuhan 430063
Abstract:When Rice put forward J integral,not all people agreed with it.After a series of experiments,it was until 1972 that J integral had been accepted extensively.With the enlightenment of Rice J integral,the article defines space J integral which gives the space expression of J integral for three dimensions.It is confirmed the conservation of space J integral that is expressed by closed curved face.Space J integral enlarges and extends Rice's two-dimension J integral and offers a new idea for resolving the elastic-fracture with crack.
Keywords:J integral  three-dimension  Gauss Axiom  conservation
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