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Mesh sensitivity in numerical models of strain-weakening systems
Computers and Geotechnics ( IF 5.3 ) Pub Date : 2021-05-27 , DOI: 10.1016/j.compgeo.2021.104253
Elena Zabolotnii , Norbert R. Morgenstern , G. Ward Wilson

This paper advances a framework for evaluating mesh sensitivity in numerical models of systems involving strain-weakening materials, and demonstrates its application in the case study of the failure at the Mount Polley TSF in Canada. Numerical studies are combined with analytical arguments and physical evidence to establish that this failure was caused in part by the localisation of strain in a shear band with a thickness 0 < hsb ≤ 12.5 cm, and to rule out the possibility of slippage along a pre-sheared plane in the foundation. The range of model responses is bound by an upper limit representing the least conservative case of “no weakening,” and a lower limit representing the most conservative case of strain localisation within an infinitely thin shear band, predicting the highest and the lowest stability levels, respectively. The limit states are discoverable using a new method presented here. The model’s convergence is shown to vary at mesh discretisation levels above the minimum established by the upper limit state analysis; higher mesh resolutions yield lower stability levels, approaching asymptotically the floor value established by the lower limit state analysis. A conceptual relationship between a model’s discretisation, the shape of the strain-weakening curve and convergence is formulated.



中文翻译:

应变弱化系统数值模型中的网格敏感性

本文提出了在涉及应变弱化材料的系统数值模型中评估网格敏感性的框架,并展示了其在加拿大 Mount Polley TSF 故障案例研究中的应用。数值研究与分析论证和物理证据相结合,确定这种失效部分是由厚度为 0 < h sb  ≤的剪切带中应变的局部化引起的  12.5 厘米,并排除沿基础预剪平面滑动的可能性。模型响应的范围由上限(表示“无减弱”的最小保守情况)和下限(表示无限薄的剪切带内的应变局部化的最保守情况)限定,分别预测最高和最低稳定性水平,分别。使用此处介绍的新方法可以发现极限状态。模型的收敛性在网格离散化水平高于上限状态分析建立的最小值时发生变化;较高的网格分辨率产生较低的稳定性水平,逐渐接近由下限状态分析确定的底值。模型离散化之间的概念关系,

更新日期:2021-05-28
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