用摄动法计算椭圆形巷道的弹塑性问题

CALCULATING ELASTO-PLASTIC PROBLEM OF ELLIPTICAL TUNNEL WITH PERTURBATION METHODS

本文用摄动法求解椭圆形巷道的弹塑性问题,假设材料是符合库仑屈服条件的理想弹塑性体,在巷道面附近有一环状区域已进入塑性状态。本文给出考虑二阶微小量修正的应力及弹塑性交界线的解析表达式,最后在算例中,对巷道围岩的塑性区形状及受力特征进行了定性定量分析。

This paper calculates the elasto-plastic problem of elliptical tunnelwith perturbation methods. It is supposed that material is ideally elasto-plastic according with Coulomb yielding critcrion and an annular region around tunnel has entered plastic yield. This paper gives analytical expressions of the stress, and elasco-plastic interface when second step small amount is concerned. In last examples, mechanical characteristic of the plastic region form and tunnel form isdiscusscd ualitatively and quantitatively.