CAJ | 학술논문

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。
유우 Cosserat 련속개질응력、응변장량적비대칭성，경전적 Mohr － Coulomb 강도준칙재 Cosserat련속개질중불가직접응용，고수추도의우 Cosserat 련속개질탄소성유한원분석적 Mohr － Coulomb 강도준칙，병장기응용우호층암체 Cosserat 확전본구모형。기우등향강화모형화증량형적소성세이론，이용MATLAB 평태분별편사 Cosserat 련속개질급경전련속개질적유한원정서，병대재호층암체중개알적동실진행료변형분석。결과표명，대응력제도불가홀략、만곡효응비교명현적결구체，Cosserat 개질법불부계산경간편，이차유경호적괄용성。
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 .