非线性Cosserat扩展模型及在地下岩体工程中的应用  

Nonlinear Cosserat Expanded Constitutive Model and Its Application of Underground Rock Engineering

作　　者：张建成[1] 贾金青[1] 马英超[1] 

机构地区：[1]大连理工大学海岸与近海工程国家重点实验室,辽宁大连116024

出　　处：《水利与建筑工程学报》2015年第3期66-71,共6页Journal of Water Resources and Architectural Engineering

基　　金：国家自然科学基金资助项目(51078059;51178078)

摘　　要：由于Cosserat连续介质应力、应变张量的非对称性,经典的Mohr-Coulomb强度准则在Cosserat连续介质中不可直接应用,故需推导宜于Cosserat连续介质弹塑性有限元分析的Mohr-Coulomb强度准则,并将其应用于互层岩体Cosserat扩展本构模型。基于等向强化模型和增量型的塑性势理论,利用MATLAB平台分别编写Cosserat连续介质及经典连续介质的有限元程序,并对在互层岩体中开挖的洞室进行了变形分析。结果表明,对应力梯度不可忽略、弯曲效应比较明显的结构体,Cosserat介质法不仅计算更简便,而且有更好的适用性。Classical yield criterion of Mohr - Coulomb cannot be directly applied to Cosserat continuum due to the asym-metry of the strain and stress tensors in Cosserat continuum theory .Therefore ,the application of the Mohr - Coulomb yield criterion in the Cosserat continuum expanded constitutive model was established .On the basis of the isotropic hard-ening and incremental plastic potential theory ,the elasto-plastic finite element codes for the Cosserat expanded constitu-tive model and classic continuum model were developed by using MATLAB .Then ,it was applied to flexural deformation analysis of the underground cave excavated in interlayered rock mass .The results suggest that the Mohr -Coulomb-based Cosserat medium method is simpler and more applicable for the structures with obvious stress gradient or bending effect .

关 键 词：COSSERAT 理论 互层岩体 扩展模型 弹塑性有限元 

分 类 号：TU45[建筑科学—岩土工程]