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在超实数域上对标准分析的级数判别法中不定型的区分
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作者 沈呈民 《东北师大学报(自然科学版)》 CAS CSCD 1990年第1期17-20,共4页
本文将用非标准分析方法在超实数领域内对标准分析的级数判别法中的收敛域与发散域进行讨论.对标准分析中关于级数收敛与发散的不定型部分用非标准分析工具在超实数域内加以区分,并给出几何级数相应的判别定理.
关键词 超实数域 级数 非标准分析法
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微分方程中含有双小参数的边值问题
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作者 程建华 祝清 《安徽大学学报(自然科学版)》 CAS 1991年第1期16-20,48,共6页
本文用非标准分析方法讨论了常微分方程奇异摄动理论中一类边值问题,同时并给出了含双小参数方程存在跳跃点的条件。
关键词 退化方程 边值问题 非标准分析法
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Improved slope safety analysis by new Druker-Prager type criterion 被引量:1
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作者 朱俊高 彭凯 +1 位作者 J.F.Shao 刘汉龙 《Journal of Central South University》 SCIE EI CAS 2012年第4期1132-1137,共6页
Based on Mohr-Coulomb (M-C) criterion, the parameters of Druker-Prager (D-P) criterion for geomaterial were determined under non-associated flow rule, and thus a new D-P type criterion was presented. Two assumptio... Based on Mohr-Coulomb (M-C) criterion, the parameters of Druker-Prager (D-P) criterion for geomaterial were determined under non-associated flow rule, and thus a new D-P type criterion was presented. Two assumptions were employed during the derivation: 1) principal strains by M-C model and D-P model are equal, and 2) the material is under plane strain condition. Based on the analysis of the surface on rt plane, it is found that the proposed D-P type criterion is better than the D-P criterion with M-C circumscribed circle or M-C inscribed circle, and is applicable for stress Lode angle less than zero. By comparing the predicted results with the test data of sand under plane strain condition and other D-P criteria, the proposed criterion is verified and agrees well with the test data, which is further proved to be better than other D--P type criteria in certain range of Lode angle. The criterion was compiled into a finite difference package FLAC3D by user-subroutine, and was used to analyze the stability of a slope by strength reduction method. The predicted slope safety factor from the proposed criterion agrees well with that by Spencer method, and it is more accurate than that from classic D-P criteria. 展开更多
关键词 yield criterion non-associated flow rule dilatancy angle plastic potential function
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