摘要
利用单元中嵌合无厚度不连续面的方法 ,模拟断裂面的形成过程。用虚功原理建立包含断裂面影响的有限元平衡方程 ;利用余虚功原理推导了断裂面的矩阵的具体形式 ;以第一类断裂问题 -开裂问题为例 ,建立了开裂面粘塑性开裂本构关系 ,进一步得到了以弹粘塑性形式表示的有限元计算格式。
The embedded softening surface is used to simulate the propagation of fracture in rocks. Based upon the virtual work principle, the equilibrium equations of FEM considering the effect of fracture on deformation are established. And on the basis of the complement virtual work principle, the concrete matrix for the effect of fracture is deduced. As an example, the first type of fracture cracking problem is analyzed to develop the visco plastic constitutive relationship on crack surfaces, the visco plastic FEM calculation procedure is then obtained. Finally, an example is simply calculated to demonstrate the rationality of the proposed method.
出处
《岩土力学》
EI
CSCD
2000年第2期130-133,共4页
Rock and Soil Mechanics