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Introduction of Plastic Block Method in the Upper Bound Limit Analysis of Soil Stability Problems
International Journal of Civil Engineering ( IF 1.7 ) Pub Date : 2021-01-19 , DOI: 10.1007/s40999-020-00596-3
Abbass Khoshzaban , Faradjollah Askari , Orang Farzaneh

In this paper, a new method, called the Plastic Block method, was introduced to improve the current rigid block solutions in framework of rigorous limit analysis method. It is a combination of rigid block limit analysis and finite-element limit analysis methods used in the upper bound limit analysis solutions of stability problems in soil mechanics. The method is similar to the first one in terms of speed of solution process and consideration of a collapse mechanism as a priority, and also is similar to the second one in terms of capability of considering plastic deformability of the blocks in calculation of internal dissipation of energy (besides that of velocity discontinuities between them). Comparison of the results obtained by the proposed method, using a few number of blocks (in case of the classical bearing capacity problem of shallow foundations selected to illustrate capability of the method), showed the better (smaller) upper bound not only in comparison with the well-known rigid block solutions, but also in comparison with some cases of finite-element limit analysis solutions obtained by the models including a large number of elements.



中文翻译:

塑性块法在土壤稳定性问题上限分析中的介绍

本文在严格的极限分析方法的框架内,引入了一种新的方法,称为塑性块方法,以改善当前的刚性块解决方案。它是刚性块极限分析和有限元极限分析方法的结合,用于土力学稳定性问题的上限分析解决方案。该方法在求解速度和优先考虑塌陷机理方面与第一种方法相似,并且在计算砌体的内部耗散时考虑砌块的塑性变形能力方面与第二种方法相似。能量(除了它们之间的速度不连续性之外)。比较所提出的方法获得的结果,

更新日期:2021-01-20
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