基于非关联流动法则的滑移线场及上限法研究

郑颖人,邓楚键,王敬林

中国工程科学 ›› 2010, Vol. 12 ›› Issue (8) : 56 -69.

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中国工程科学 ›› 2010, Vol. 12 ›› Issue (8) : 56 -69.

基于非关联流动法则的滑移线场及上限法研究

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The study of slip line field and upper bound method based on the non-associated flow rule

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摘要

当前岩土材料的滑移线场理论及上限法中都广泛采用经典塑性理论中的关联流动法则,由此得出应力特征线与速度滑移线一致的结论。而试验得知,岩土材料并不服从关联流动法则,因而应力特征线与速度滑移线不可能重合。文章分析了基于关联流动法则的滑移线场及上限法中存在的问题,根据广义塑性理论推导了基于非关联流动法则的滑移线场及上限法,消除了现行滑移线场理论及上限法理论中的种种矛盾。

Abstract

The slip line field theory and the upper bound method based on the associated flow rule for the traditional plastic theory don't accord with the experiment for geotechnical material ,so the non-associated flow rule must be applied to geotechnical material which indicates the stress characteristic line don't coincide with the velocity line. In this paper some problems existing in the slip line field theory and the upper bound method based on the associated flow rule were analyzed. The slip line field theory and the upper bound method based on the non-associated flow rule were deduced according to the generalized plastic theory , which eliminated some inconsistencies in the slip line field theory and the upper bound method based on the associated flow rule for the traditional plastic theory.

关键词

滑移线场 / 上限法 / 关联流动法则 / 非关联流动法则 / 广义塑性理论

Key words

slip line field / upper bound method / associated flow rule / non-associated flow rule / generalized plastic theory

Author summay

郑颖人(1933-),男,浙江镇海县人,中国工程院院士,解放军后勤工程学院教授,博士生导师,从事岩土力学、岩土工程与地下工程研究

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郑颖人,邓楚键,王敬林 基于非关联流动法则的滑移线场及上限法研究[J]. 中国工程科学, 2010, 12(8): 56-69 DOI:

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