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非关联流动的安定性理论及在土力学中的应用
引用本文:栾茂田,王飞,朱菊芬.非关联流动的安定性理论及在土力学中的应用[J].力学学报,2003,35(1):50-56.
作者姓名:栾茂田  王飞  朱菊芬
作者单位:1. 大连理工大学土木工程系及海岸和近海工程国家重点实验室,大连,116024
2. 清华大学工程力学系,北京,100084
3. 大连理工大学工程力学系及工业装备与结构分析国家重点实验室,大连,116024
基金项目:国家自然科学基金(59779017),教育部跨世纪优秀人才培养计划研究基金资助.
摘    要:将Melan静力型安定定理加以推广,使其适用于非关联流动法则下的土工结构的安定性分析.应用Palmer的方法构造塑性势面,根据其性质,证明了静力型安定定理在非关联流动法则下同样成立.在非关联的Mok—Coulomb准则下,求解浅黏土层地基极限载荷,得到了比较合理的解答.最后,计算了非关联流动法则下的条形基础地基的安定裁荷.

关 键 词:非关联流动  安定性理论  土力学  应用  塑性势  条形基础
修稿时间:2000年12月5日

SHAKEDOWN ANALYSIS THEORY WITH NON-ASSOCIATED FLOW RULES AND ITS APPLICATION IN SOIL MECHANICS
Luan Maotian Wang Fei Zhu Jufen.SHAKEDOWN ANALYSIS THEORY WITH NON-ASSOCIATED FLOW RULES AND ITS APPLICATION IN SOIL MECHANICS[J].chinese journal of theoretical and applied mechanics,2003,35(1):50-56.
Authors:Luan Maotian Wang Fei Zhu Jufen
Abstract:Some extensions are made on Melan's shakedown theory for shakedown analysis of soil following non-associated flow law. Palmer's method is used to construct a convex plastic potential surface. According to the properties of the plastic potential surface, it is proved that Melan's shakedown theory with non-associated flow law is still kept valid. Plastic potential function associated with the Mohr-Coulomb yield criterion is formulated and then is applied to determine the limit load of shallow clay stratification. The computed results are in good agreement with theoretical solutions. Finally, shakedown load of strip footing is calculated on the basis of the Melan's shakedown theory with non-associated flow law.
Keywords:shakedown analysis  non-associated flow law  plastic potential  strip footing
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