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A MODEL OF two-phase equilibrium FOR FORMATION OF KINK-BANDS IN ROCKS

Acta Mechanica Solida Sinica 2011年第2期24卷 166-175页

作者： Dexuan Qi Yitong Zhang Jiaxing Ning Jiafu Xu Tianjin Research Centre of Basic Medical Science Tianjin Medical University Tianjin 300070 China School of Mechanical Engineering Tianjin University Tianjin 300072 China Tianjin Metro Group Corporation Limited Tianjin 300051 China

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

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Prediction of shear bands in sand based on granular flow model and two-phase equilibrium

Prediction of shear bands in sand based on granular flow mod...

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The 9th National Conference on Rheology

作者：张义同齐德瑄杜如虚任述光 Department of Mechanics School of Mechanical EngineeringTianjin University Shenzhen Institute of Advanced Technology Chinese Academy of Sciences College of Engineering and Technology Hunan Agricultural University

＜正＞In contrast to the traditional interpretation of shear bands in sand as a bifurcation problem in continuum mechanics,shear bands in sand are considered as high-strain phase （plastic phase） of sand and the materials outside the bands are still in low-strain phase （elastic phase）,namely,the two phases of sand can coexist under certain *** a one-dimensional example,the results show that,for materials with strain-soflening behavior,the two-phase solution is a stable branch of solutions,but the method to find two-phase solutions is very different from the one for bifurcation *** theory of multi-phase equilibrium and the slow plastic flow model are applied to predict the formation and patterns of shear bands in sand specimens,discontinuity of deformation gradient and stress across interfaces between shear bands and other regions is considered,the continuity of displacements and traction across interfaces is imposed,and the Maxwell relation is *** governing equations are *** critical stress for the formation of a shear band,both the stresses and strains inside the band and outside the band,and the inclination angle of the band can all be *** predicted results are consistent with experimental measurements.

关键词： strain localization locally-deformed bands shear bands two-phase equilibrium granular model of sand

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