基于摩尔库伦准则的球壳自重应力弹塑性分析

本文以理论解析方法对球壳模型自重应力场进行了弹塑性分析。研究发现:竖向应力和水平应力在球壳表面均为零,应力随深度线性增加,但塑性层中应力梯度小于弹性层;球壳强度与刚度之间存在制约关系,即内摩擦角与泊松比须满足特定条件;球壳应力分析不仅适用于地球壳体尺度,同样适用于工程尺度。分析了内摩擦角、泊松比、粘聚力对球壳应力状态的影响。

Elastic-plastic Analysis of Gravity Stress of Spherical Shell Based on the Mohr-coulomb Yield Criterion

This papaer analyzed the gravity stress field of spherical shell model though elastic-plastic analysis method. The research showed that the vertical and horizontal stress were zero on outer surface of spherical shell model and liner increased with depth, but stress gradients in plastic layer was less than that in elastic. Found that strength and stiffness had restrictive relation, that was internal friction angle and Poisson＆#39;s ratio must satisfy some condition. This paper taked into about the effect of inner radius and stresses of spherical shell model and pointed out its significance, and analyzed the effect of internal friction angle, Poisson＆#39;s ratio and cohesion on elastic-plastic distribution in spherical shell model.