不连续介质力学分析的块体-夹层模型

基于岩体等不连续介质的实际结构特征，利用约束变分原理，建立了可同时用于不连续介质和连续介质力学分析的块体 夹层模型．该方法利用拉格朗日乘子法和罚函数法把单元间的连续条件作为约束条件引入泛函中，把不连续介质问题和连续介质问题统一处理，既能方便地求解连续介质力学问题，更重要的是能方便地处理不连续介质力学问题，如岩体结构．由块体 夹层模型可导出刚性有限元和弹性有限元（常应变元）的列式，而且块体的形状可以是任意多边形

BLOCK SEAMS MODEL FOR DISCONTINUUM MECHANICS ANALYSIS

Based on the characteristics of rock structures, the block seams model, which can be used in the numerical simulation of the continuum and discontinuum mechanics, is established by constraint variational principles. In this model, the continuous condition is introduced into the energy functional by the Lagrange method and penalty method so that either the continuum or discontinuum problems can be simulated by the model. The formulations of the rigid finite element and traditional constant stress element can be deduced from the model but the blocks can be arbitrary polygon.