摘要
有限单元法(FEM)作为强大的数值分析技术广泛应用于岩土工程结构数值模拟。由于传统有限元的单元形状局限性以及岩土工程模型的复杂性(分层施工模拟、复杂材料分区等),较难编制通用的高质量网格剖分算法,使得模型网格生成消耗整个分析过程的大部分时间,阻碍快速自动化分析进程。采用四叉树网格剖分技术,联合非线性多边形比例边界有限元(PSBFEM)方法,发展了一种可用于岩土工程结构的快速建模和数值分析方法。对某心墙坝进行了静动力数值模拟,并与传统有限元结果对比验证了其正确性。研究表明,文中方法具有使用简便、网格灵活、生成速度快、质量高等特点,可以大幅降低累赘繁琐的人工干涉,为工程结构快速设计–优化提供有力的技术手段。该方法扩展至三维结构将具有更大的研究价值和工程意义。
The finite element method(FEM) is a powerful numerical analysis technique, which is applied widely in the simulation of geotechnical engineering structures. As the limitation of element shape in traditional FEM and the geometrical complexity of structures, such as layered construction and complicated material partition etc, a versatile and high-quality meshing discrete algorithm is comparatively difficult to implement, resulting in the majority time is consumed in element generation, which hinder the rapid process of automated analysis. In this paper, a swift analysis method combining the quadtree discretization and nonlinear polygon scaled boundary finite element method(PSBFEM) is developed to conduct the elastoplastic simulation of geotechnical structures. The static and seismic response of a typical core wall dam is modelled, and the validity of presented method is verified by comparing with the FEM. Simple operation, flexibility of the meshing, rapid generation and high-quality can be revealed in the proposed method, where the cumbersome human intervention can be decreased significantly, so as to provide a powerful technique for the rapid automatic analysis of complicated structures. There will be more meaningful research value and engineering significance to explore three-dimensional application of the method.
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2017年第S2期33-40,共8页
Rock and Soil Mechanics
基金
国家重点研发计划(No.2017YFC0404900)
国家自然科学基金(No.51379028
No.51678113)
中央高校基本科研业务费资助(No.DUT17ZD219)~~
