广义位势理论本构模型的加卸载准则探讨  

Discussion on Loading-unloading Criterion of Constitutive Model Based on the Generalized Potential Theory

作　　者：钟志辉 杨光华[2] 张玉成 官大庶 温勇 ZHONG Zhihui;YANG Guanghua;ZHANG Yucheng;GUAN Dashu;WEN Yong(Guangzhou Hongyu Design of Water Conservancy and Hydropower Co.,Ltd., Guangzhou 511458,China;Guangdong Research Institute of Water Resources and Hydropower, Guangzhou 510635,China;College of Water Conservancy and Civil Engineering South China Agricultural University, Guangzhou 510642,China;China University of Mining and Technology, Xuzhou 221008,China;Guangdong Polytechnic of Water Resources and Electric Engineering, Guangzhou 510610,China;College of Urban and Rural Construction, Zhongkai University of Agriculture and Engineering, Guangzhou 510225,China)

机构地区：[1]广州市宏禹水利水电勘测设计有限公司,广东广州511458 [2]广东省水利水电科学研究院,广东广州510635 [3]华南农业大学水利与土木工程学院,广东广州510642 [4]中国矿业大学,江苏徐州221008 [5]广东水利电力职业技术学院,广东广州510610 [6]仲恺农业工程学院城乡建设学院,广东广州510225

出　　处：《广东水利水电》2021年第8期69-77,共9页Guangdong Water Resources and Hydropower

基　　金：国家自然科学基金(编号:51778152)。

摘　　要：经典弹塑性理论一般通过屈服函数来确定加卸载准则。由于土体的应力应变特性比较复杂,因此,建立屈服函数的过程也较为复杂,通常需要较多的假设。广义位势理论从数学原理出发,直接建立岩土材料的本构模型,具有明确的数学依据和较少的物理假设,建模精度高。从数学角度来看,加卸载准则是广义位势理论中状态方程的分段条件。该文从数学原理和状态方程的确定方法出发,提出了分段型加卸载准则,该准则物理意义明确而且简单实用。最后,以基于广义位势理论的类剑桥模型为例,说明分段型加卸载准则的建立步骤及其合理性。The loading-unloading criterion is generally determined by the yield function in classical elasto-plastic theory.Due to the complexity of the stress-strain characteristics of soil,the process of establishing the yield function is also complicated,and sometimes more assumptions are needed.Based on mathematical principles,the generalized potential theory directly establishes the constitutive model of geotechnical materials,which has clear mathematical basis and less physical hypothesis.The modeling accuracy of this theory is high.From the mathematical views,loading-unloading criteria are piecewise conditions of state equation in the generalized potential theory.Therefore,based on the mathematical principle and the determination method of state equation,this paper proposes the piecewise loading-unloading criterion,which has clear physical meaning and is simple and practical.Finally,the Similar Cam-clay model based on generalized potential theory is taken as an example to illustrate the establishment steps and the rationality of the piecewise loading-unloading criterion.

关 键 词：广义位势理论 加卸载准则 状态方程 分段条件 类剑桥模型 

分 类 号：TU43[建筑科学—岩土工程] TB125[建筑科学—土工工程]