Non-classical solutions of a continuum model for rock descriptions

作     者：Mikhail A.Guzev 

作者机构：Institute for Applied Mathematics Far Eastern Branch of the Russian Academy of Sciences 

出 版 物：《Journal of Rock Mechanics and Geotechnical Engineering》 (岩石力学与岩土工程学报（英文版）)

年 卷 期：2014年第6卷第3期

页      面：180-185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] 0801[工学-力学（可授工学、理学学位）] 

基　　金：The author is grateful to the academician Qihu Qian for constructive discussions 

主　　题：Zonal disintegrationStrain gradient theoryNon Euclidean continuum model 

摘      要：The strain-gradient and non-Euclidean continuum theories are employed for construction of non- classical solutions of continuum models. The linear approximation of both models＇ results in identical structures in terms of their kinematic and stress characteristics. The solutions obtained in this study exhibit a critical behaviour with respect to the external loading parameter. The conclusions are obtained based on an investigation of the solution for the scalar curvature in the non-Euclidean continuum theory, The proposed analysis enables us to use different theoretical approaches for description of rock critical behaviour under different loading conditions.