岩土数值极限分析方法的发展与应用

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摘要固体材料受力后从弹性发展到塑性、再发展到破坏，表明屈服与破坏是不同的。本文简述了岩土材料的屈服准则，并提出岩土材料的屈服准则体系，提出材料应力场中点破坏和整体面破坏2种概念及其定义，并用传统极限分析方法定义材料的整体面破坏准则。回顾分析传统极限分析方法的求解特点，由此指出传统极限分析法与数值分析法的不足，两者结合形成近年发展的数值极限分析方法，使极限分析方法的适用范围大幅扩大。就传统极限分析法与数值极限法的内涵、特点做深入的分析，论证了方法的可靠性，同时指出数值极限分析法的优越性及其存在的问题，最后举例说明数值极限分析方法在岩土工程中的边(滑)坡、地基以及隧道工程中的广泛适用性。

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关键词 ：数值分析, 屈服准则, 破坏准则, 极限分析法, 数值极限分析法, 极限荷载, 稳定安全系数

Abstract：Solid material develops from elastic to plastic then to failure after undertaking some load，which means that yield is different from failure. The system of yield criteria for geomaterial is discussed and two definitions which are point failure and surface failure in stress field are put forward. And the criteria of surface whole failure is defined through traditional limit analysis method. Simultaneously，the deficiencies for traditional limit analysis and numerical analysis are pointed out by reviewing and analyzing the solution characteristics of traditional limit analysis method. Based on the combination of these two methods，a newly developed numerical limit analysis method is built，which has enlarged the application rage of limit analysis. The significances and features of traditional limit analysis method and numerical limit method are studied，as well as the reliabilities. The advantages and disadvantages of numerical limit analysis are listed；and the wide applicability of numerical limit analysis in the slope(landslide) engineering，foundation engineering and tunnel engineering is illustrated.

Key words： numerical analysis yield criteria failure criteria limit analysis method numerical limit analysis method ultimate load stability safety factor

引用本文:

郑颖人1，2. 岩土数值极限分析方法的发展与应用[J]. 岩石力学与工程学报, 2012, 31(7): 1297-1316.
ZHENG Yingren1，2 . DEVELOPMENT AND APPLICATION OF NUMERICAL LIMIT ANALYSIS FOR GEOLOGICAL MATERIALS. , 2012, 31(7): 1297-1316.

链接本文:

http://www.rockmech.org/CN/Y2012/V31/I7/1297

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