非关联流动的安定性理论及在土力学中的应用  

SHAKEDOWN ANALYSIS THEORY WITH NON-ASSOCIATED FLOW RULES AND ITS APPLICATION IN SOIL MECHANICS ~1)

作　　者：栾茂田[1] 王飞[2] 朱菊芬[3] 

机构地区：[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

出　　处：《力学学报》2003年第1期50-56,共7页Chinese Journal of Theoretical and Applied Mechanics

基　　金：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Mohr-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载荷.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.

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 

分 类 号：TU43[建筑科学—岩土工程]