自适应网格划分的有限单元法在土坡稳定中的应用

发布时间：2018-05-24 04:29

本文选题：有限单元法 + 自适应网格加密　；参考：《浙江大学》2013年硕士论文

【摘要】：土坡稳定分析是岩土工程领域的重要课题之一,其主要分析方法有极限平衡法、极限分析法、强度折减有限元法等。近年来随着有限元及计算机技术的不断发展,有限元的各方面技术已经广泛应用到土工问题的众多领域当中。其中网格的自适应加密技术结合有限元的求解计算方式,相对于传统的极限平衡求解方法,可以更为准确的寻找到土坡的滑裂带的位置已经土体的安全系数,在工程设计时为设计方提供的进一步的技术支持。本文以大型通用有限元计算分析软件ABAQUS作为平台,通过分析一系列经典的土工模型算例及土坡稳定分析的工程实例,运用自适应网格加密技术结合有限单元法的计算手段,进行数值模拟分析,并对模拟结果进行了分析。本文主要包括以下几方面研究工作： (1)介绍了土坡稳定分析的目的、意义以及土坡稳定分析常用方法和相应的优缺点,从而确立了本文自适应网格加密结合有限元计算方法的重要性,结合近年来该领域的多项研究成果,将自适应网格划分技术应用到工程当中。 (2)将自适应网格加密技术与ABAQUS软件相结合,通过ABAQUS的Remeshing模块的网格重划分功能,在不同的土工模型中选取合适的误差控制指标变量,进行自适应网格划分技术与有限元计算模式的结合,并得到更为精确的计算结果。 (3)针对经典的土工数值模拟分析模型,例如边坡稳定,土体垂直开挖以及地基的极限承载力等算例进行分析,将分析结果与传统的理论解析解进行比较,来进一步说明在有限元的分析过程中,自适应网格加密技术的合理性。 (4)选取杭州东城国际花园二期工程地下室施工基坑维护设计项目作为具体的工程实例进行分析,将有自适应网格加密结合ABAQUS有限元计算软件结果与现行的设计软件计算结果做对比,说明结合了自适应网格加密后有限元计算的结果更为准确和精密。
[Abstract]:Slope stability analysis is one of the most important topics in the field of geotechnical engineering. The main analysis methods include limit equilibrium method, limit analysis method, strength reduction finite element method and so on. In recent years, with the continuous development of finite element and computer technology, various aspects of finite element technology have been widely used in many fields of geotechnical problems. Compared with the traditional limit equilibrium method, the adaptive mesh encryption technique combined with the finite element method can more accurately find the safety factor of the soil in the slip zone of the soil slope. Provide further technical support to the designer at the time of engineering design. In this paper, a series of classical examples of geotechnical model and engineering examples of soil slope stability analysis are analyzed on the platform of ABAQUS, an adaptive mesh encryption technique combined with finite element method (FEM) is used. The numerical simulation analysis is carried out, and the simulation results are analyzed. This paper mainly includes the following aspects of research work: 1) the purpose and significance of slope stability analysis are introduced, as well as the common methods and advantages and disadvantages of slope stability analysis. The importance of adaptive mesh encryption combined with finite element method is established in this paper. Combined with many research achievements in this field in recent years, adaptive mesh generation technology is applied to engineering. 2) combining adaptive mesh encryption technology with ABAQUS software, selecting appropriate error control index variables in different geotechnical models through the grid re-division function of Remeshing module of ABAQUS. The adaptive mesh generation technique is combined with the finite element method, and more accurate results are obtained. (3) the classical geotechnical numerical simulation models, such as slope stability, vertical excavation of soil and ultimate bearing capacity of foundation, are analyzed, and the results are compared with the traditional analytical solutions. To further explain the rationality of adaptive mesh encryption in the finite element analysis process. 4) selecting the basement foundation pit maintenance design project of Hangzhou Dongcheng International Garden Phase II Project as a concrete engineering example to analyze, The results of finite element calculation with adaptive mesh encryption combined with ABAQUS are compared with those of the current design software. It is shown that the results of finite element calculation with adaptive mesh encryption are more accurate and accurate.
【学位授予单位】：浙江大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：TU43

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