A MODEL OF TWO-PHASE EQUILIBRIUM FOR FORMATION OF KINK-BANDS IN ROCKS  

作　　者：Dexuan Qi Yitong Zhang Jiaxing Ning Jiafu Xu 

机构地区：[1]Tianjin Research Centre of Basic Medical Science, Tianjin Medical University, Tianjin 300070, China [2]School of Mechanical Engineering, Tianjin University, Tianjin 300072, China [3]Tianjin Metro Group Corporation Limited, Tianjin 300051, China

出　　处：《Acta Mechanica Solida Sinica》2011年第2期166-175,共10页固体力学学报（英文版）

基　　金：supported by the National Basic Research Program of China (973 Program, No. 2007CB714001)

摘　　要：Kink-bands in rocks have been widely observed in nature and imitated in the laboratory, and the mechanism of their formation has attracted much attention from various researchers for many years. In this paper, a two-phase equilibrium model is presented in which the kink-bands are considered as a high-strain phase and the other regions outside kink-bands as a low-strain phase and the discontinuity of the deformation gradient and stresses is permitted across the interface between those two phases. Based on the present model, we conduct the analysis for the rocks under plane strain compression by finding the minimum value of the compressive loading at which the governing equations have real, physically acceptable solutions. It is revealed that for the rocks with strain-softening behaviour, two-phase equilibrium solutions exist, and the critical value of the compressive loading, the inclination angle of the kink-band, and the stresses and strains inside and outside kink-bands can all be determined by the solution, which are in good agreement with experimental measurements and observations.Kink-bands in rocks have been widely observed in nature and imitated in the laboratory, and the mechanism of their formation has attracted much attention from various researchers for many years. In this paper, a two-phase equilibrium model is presented in which the kink-bands are considered as a high-strain phase and the other regions outside kink-bands as a low-strain phase and the discontinuity of the deformation gradient and stresses is permitted across the interface between those two phases. Based on the present model, we conduct the analysis for the rocks under plane strain compression by finding the minimum value of the compressive loading at which the governing equations have real, physically acceptable solutions. It is revealed that for the rocks with strain-softening behaviour, two-phase equilibrium solutions exist, and the critical value of the compressive loading, the inclination angle of the kink-band, and the stresses and strains inside and outside kink-bands can all be determined by the solution, which are in good agreement with experimental measurements and observations.

关 键 词：kink-band ROCKS strain localization two-phase equilibrium 

分 类 号：O224[理学—运筹学与控制论] TS712[理学—数学]