Elastoplastic solution for cylindrical cavity contraction in unsaturated soils under constant suction conditions

J.-L. Zhang, E.-C. Sun, P.-Z. Zhuang, H.-S. Yu, H. Yang
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Abstract

This letter develops an elastoplastic solution for cylindrical cavity contraction in unsaturated soils under constant suction conditions. The elastoplastic cavity contraction problem is formulated into a set of first-order ordinary differential equations (ODEs) by introducing a new auxiliary variable, which is solved as an initial value problem. The new solution is validated by comparison with numerical simulation results. Finally, parametric studies show that, as soil suction increases, the internal support pressure decreases faster with cavity contraction, the unloading-induced plastic zone becomes narrower, and the changes in effective stresses are smaller for a given tunnel convergence.
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恒定吸力条件下非饱和土壤中圆柱形空腔收缩的弹塑性解决方案
这封信提出了恒定吸力条件下非饱和土壤中圆柱形空腔收缩的弹塑性解决方案。通过引入一个新的辅助变量,将弹塑性空腔收缩问题表述为一组一阶常微分方程(ODEs),并将其作为初值问题求解。通过与数值模拟结果进行比较,验证了新的求解方法。最后,参数研究表明,随着土壤吸力的增加,空洞收缩时内部支撑压力会更快地减小,卸载引起的塑性区会变得更窄,在隧道收敛给定的情况下,有效应力的变化会更小。
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