多层功能梯度立井井壁有限元仿真

Finite Element Simulation of Multilayer Functionally Gradient Shaft Wall

摘要: 本文采用层合模型的思想将功能梯度立井井壁划分为多层同轴圆筒，并借助ABAQUS有限元软件进行数值模拟，分析了各层间弹性模量差值的改变对于多层功能梯度井壁力学特性的影响，由此得出当圆筒内部应力分布最均匀时的最适层间弹性模量差值，并探究了功能梯度立井井壁在不同分层数情况下最合适层间弹性模量差值的变化情况及产生的原因。结果表明：不同层数下的功能梯度井壁均对应一个最合适的层间弹性模量差值，使得功能梯度立井井壁内部Mises应力达到相对均匀，即有效缓解了井壁内侧的应力集中现象，同时井壁内侧的最大应力达到最小，并且最合适层间弹性模量差值随着层数增加而减小，此研究对于确定功能梯度井壁在实际工程应用中的划分层数和各层的混凝土标号的选取具有重要意义。

Abstract: In this paper, the shaft wall of functionally gradient vertical shaft is divided into multi-layer coaxial cylinders by using the idea of laminating model, and numerical simulation is carried out with the finite element software ABAQUS to analyze the influence of the change of elastic modulus difference between layers on the mechanical properties of multi-layer functionally gradient shaft wall. According to this, we obtain the optimal difference of elastic modulus between layers when the stress distribution inside the cylinder is most uniform, and explore the variation of the optimal difference of elastic modulus between layers when the number of layers of functionally gradient shaft wall is different and the causes of the difference are discussed. The result shows that when the different layers of functionally graded sidewall are corresponding to the most appropriate elastic modulus difference between layers, the function gradient vertical shaft sidewall internal Mises stress reaches relatively uniform, which is effective in relieving the stress concentration phenomenon, the inside of the wall at the same time to minimize the maximum stress of the inside of the wall and the most appropriate elastic modulus difference between layers decreases as the number of layers increases. This study is of great significance to determine the number of dividing layers and the selection of concrete label of each layer of functionally graded shaft wall in practical engineering application.