Cyclic constitutive equations of rock with coupled damage induced by compaction and cracking

作     者：Chonghong Ren Jin Yu Xueying Liu Zhuqing Zhang Yanyan Cai Chonghong Ren;Jin Yu;Xueying Liu;Zhuqing Zhang;Yanyan Cai

作者机构：Fujian Research Center for Tunneling and Urban Underground Space EngineeringHuaqiao UniversityXiamen 361021China Xiamen Rail Transit Group Corporation LimitedXiamen 361021China 

出 版 物：《International Journal of Mining Science and Technology》 (矿业科学技术学报（英文版）)

年 卷 期：2022年第32卷第5期

页      面：1153-1165页

核心收录：

学科分类：08[工学] 080104[工学-工程力学] 0815[工学-水利工程] 0823[工学-交通运输工程] 0801[工学-力学（可授工学、理学学位）] 

基　　金：This study was financially supported by the National Natural Science Foundation of China(Nos.51978292 42077254 and 51874144) 

主　　题：Cyclic constitutive equations Rock Coupled damage Compaction Cracking 

摘      要：In this paper,the cyclic constitutive equations were proposed to describe the constitutive behavior of cyclic loading and ***,a coupled damage variable was derived,which contains two parts,i.e.,the compaction-induced damage and the cracking-induced *** compaction-induced damage variable was derived from a nonlinear stress–strain relation of the initial compaction stage,and the cracking-induced damage variable was established based on the statistical damage ***,based on the total damage variable,a damage constitutive equation was proposed to describe the constitutive relation of rock under the monotonic uniaxial compression conditions,whereafter,the application of this model is extended to cyclic loading and unloading *** validate the proposed monotonic and cyclic constitutive equations,a series of mechanical tests for marble specimens were carried out,which contained the monotonic uniaxial compression(MUC)experiment,cyclic uniaxial compression experiments under the variable amplitude(CUC-VA)and constant amplitude(CUC-CA)*** results show that the proposed total damage variable comprehensively reflects the damage evolution characteristic,i.e.,the damage variable firstly decreases,then increases no matter under the conditions of MUC,CUC-VA or *** a reasonable consistency is observed between the experimental and theoretical *** proposed cyclic constitutive equations can simulate the whole cyclic loading and unloading behaviors,such as the initial compaction,the strain hardening and the strain ***,the shapes of the theoretical curves are controlled by the modified coefficient,compaction sensitivity coefficient and two Weibull distributed parameters.