装配式衬砌隧道的一种有限元计算方法

Finite Element Method for Tunnel with Prefabricated Lining

将衬砌与地层间的相互作用按接触问题计算.根据变形体的虚功原理,建立了接触问题有限元公式及相应的计算方法,介绍了求解弹塑性接触问题的过程,并着重讨论了"侵入"状态的处理方法.最后,应用给出的方法计算了2个算例———内压作用下2个相套厚壁圆筒接触和用盾构法修建的地铁隧道的受力变形.

The interaction between the lining and surrounding rock of a tunnel was taken as a contact problem. On the basis of the principle of virtual work for deformable body, a finite element method for the contact problem was proposed and the procedure for solving an elasto-plastic contact problem was given, especially focusing on the technique to deal with the penetrating contact status, i.e. two contact bodies penetrate each other. In the end, two illustrated examples—one is two nesting thick cylinders subjected to internal pressure and the other is a shield-driven metro tunnel, were solved with this method successfully.