准脆性材料断裂过程区中的圆饼微裂纹损伤计算  

Damage Calculation of Circular Cake Micro-Cracks in the Fracture Process Zone of Quasi-Brittle Materials

作　　者：王利民[1] 薛辉庭 张春巍 徐世烺[2] 李霞 WANG Limin;XUE Huiting;ZHANG Chunwei;XU Shilang;LI Xia(School of science,School of Civil Engineering,Qingdao University of Technology,Qingdao 266033,Shandong,China;College of Civil Engineering and Architecture,Zhejiang University,Hangzhou 310058,Zhejiang,China)

机构地区：[1]青岛理工大学理学院土木工程学院,山东青岛266033 [2]浙江大学土木建筑学院,浙江杭州310058

出　　处：《力学季刊》2020年第2期288-296,共9页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(10272068,50438010);山东自然科学基金(Y2006A29)。

摘　　要：准脆性工程材料及结构在外力作用下,不仅引起内部缺陷变化和微裂纹的出现及发展,且使得其结构承载能力降低或性能劣化.在其材料失效过程中常存在裂缝与断裂损伤过程区.为研究材料细观缺陷或微裂纹与宏观破坏的规律,通过细观力学方法,对于代表性体积单元RVE中的圆饼型微裂纹的尺寸与密度变化,探讨其宏观断裂过程区力学参量与损伤之间的量化关系.借助宏观断裂过程区的黏聚裂纹模型,将损伤单元RVE嵌入到宏观裂缝端部的断裂过程区中,对其进行联接细观损伤到宏观破坏的力学多尺度研究.文中也通过实验数据,对其理论计算结果进行了算例的讨论与分析.The deformation and damage of quasi-brittle engineering materials subjected to external forces can not only cause the development of defects or micro-cracks,but also lead to the bearing capacity reduction and the performance deterioration.During the fracture process,there usually exists a process zone of fracture and damage near an opening crack.In order to investigate the relation between the characteristics of mesoscopic defects or micro-cracks and the macroscopic failure processes,the dimension and density change of the circular cake micro-cracks in a representative volume element(RVE)are analyzed by means of mesomechanics method.By means of the crack cohesion model of macro fracture mechanics,the damage element RVE is embedded into the fracture process zone near a macro crack tip.This work consists of a multi-scale mechanical analysis from mesoscopic damage to macro fracture.Some examples are theoretically analyzed and discussed using the experimental test data.

关 键 词：准脆性材料 断裂过程区 细观力学 微裂纹 损伤变量 多尺度分析 

分 类 号：O346.5[理学—固体力学]