European Journal of Environmental and Civil Engineering ( IF 2.1 ) Pub Date : 2020-12-21 , DOI: 10.1080/19648189.2020.1857309 Xiu-Guang Song 1 , He Yang 1 , Hong-Ya Yue 1, 2 , Xu Guo 2 , Hai-Sui Yu 3 , Pei-Zhi Zhuang 1, 2
Abstract
This paper presents rigorous analytical solutions for cavity contraction analysis of a thick-walled cylinder/sphere after an arbitrary magnitude of expansion. Closed-form solutions are given for the distribution of stress and displacement within the cylinder/sphere of soil that is subjected to constant external pressure and monotonically decreasing internal pressure. The soil is modelled as an elastic-perfectly plastic material obeying the Mohr-Coulomb yield criterion and a non-associated flow rule. Large strain effects are taken into account by adopting the logarithmic strain definition in the plastic deformation analysis. The new solutions are validated with published results at first, then parametric studies are carried out. It is shown that the reference stress state (e.g. in-situ, elastic, partially plastic and fully plastic) and the cavity geometry ratio may greatly affect the unloading behaviour, in particular, when the cavity geometry ratio is smaller than a limit value. Finally, three typical applications of the solutions are demonstrated, including (i) design of the thickness of frozen cylinder walls accounting for large deformation effects, (ii) interpretation of laboratory pressuremeter tests with consideration of effect of the constant stress boundary, and (iii) shakedown analysis of a soil cylinder/sphere considering its geometry changes upon cyclic loading and unloading.
中文翻译:
有界 Mohr-Coulomb 介质中空腔收缩大应变分析的闭式解
摘要
本文为厚壁圆柱体/球体在任意膨胀幅度后的空腔收缩分析提供了严格的解析解。对于承受恒定外压和单调递减内压的土壤圆柱体/球体内的应力和位移分布,给出了闭合形式的解。土壤被建模为完全弹性的塑性材料,符合 Mohr-Coulomb 屈服准则和非关联流动规则。在塑性变形分析中采用对数应变定义,考虑了大应变效应。新解决方案首先通过已发布的结果进行验证,然后进行参数研究。结果表明,参考应力状态(例如原位、弹性、部分塑性和完全塑性)和型腔几何比可能会极大地影响卸载行为,特别是当型腔几何比小于极限值时。最后,展示了解决方案的三个典型应用,包括(i)考虑大变形效应的冷冻缸壁厚度设计,(ii)考虑恒定应力边界影响的实验室压力计测试解释,以及(iii ) 考虑其在循环加载和卸载时的几何变化的土壤圆柱体/球体的安定分析。