断裂力学M积分研究概况  

Research situation of M-integral in fracture mechanics

作　　者：陶荟宇 徐晋勇[1] 高成[1,2] 蔡大勇[2] 唐焱[1] 黄然然 TAO Huiyu XU Jinyong GAO Cheng CAI Dayong TANG Yan HUANG Ranran(School of Mechanical and Electrical Engineering, Guilin University of Electronic Technology, Guilin 541004, China School of Materials Science and Engineering, Yanshan University, Qinhuangdao 066004, China)

机构地区：[1]桂林电子科技大学机电工程学院,广西桂林541004 [2]燕山大学材料科学与工程学院,河北秦皇岛066004

出　　处：《兵器材料科学与工程》2017年第1期108-114,共7页Ordnance Material Science and Engineering

基　　金：国家自然科学基金(51301047);桂林电子科技大学研究生教育创新计划资助项目(GDYCSZ201403)

摘　　要：断裂力学中的M积分是一种表征缺陷体演变规律的有效方法。从M积分的表达式及物理意义角度概述并分析M积分与应力强度因子K、J积分、Bueckner功共轭积分和总势能变化量（CTPE）等主要断裂参量的内在联系,重点分析评价M积分有限元法在脆性材料、弹性材料和弹塑性材料中的研究进展及应用情况,提出M积分在表征缺陷体演变方面可深入研究的方向及其广阔的应用前景。The M-integral in the fracture mechanics is an effective method to characterize the evolution of the defects. The inherent relations between M-integral and stress intensity factor K,J-integral,Bueckner work conjugate integral and the Change of Total Potential Energy（CTPE）are reviewed and analyzed from the perspective of the expression and physical meaning of Mintegral. The advances and applications of M-integral finite element analysis in brittle material,elastic material,and elasticplastic material are emphatically analyzed. Finally,the research direction and extensive application of M-integral are pointed out.

关 键 词：断裂力学 M积分 断裂参量 有限单元法 

分 类 号：O346.1[理学—固体力学]