一种高效的FE-PSBFE耦合方法及在岩土工程弹塑性分析中的应用

AN EFFICIENT FE-PSBFE COUPLED METHOD AND ITS APPLICATION TO THE ELASTO-PLASTIC ANALYSIS OF GEOTECHNICAL ENGINEERING STRUCTURES

  • 摘要: 针对复杂岩土工程结构建模困难、耗时费力的难题,结合八叉树网格离散技术,对网格中的六面体采用等参单元,对于非六面体采用多面体比例边界有限单元(PSBFE),建立了一种快速、高效的FE-PSBFE弹塑性耦合数值分析方法。采用实现的PSBFE对标准土石坝进行数值模拟,验证了其正确性和计算精度;通过典型复杂心墙坝对提出FE-PSBFE耦合方法的灵活性、通用性和高效性进行了研究,研究结果表明:与传统FEM相比,该耦合方法可大幅加速模型前处理进程,解决了复杂三维空间河谷形状、水平分层填筑和材料分区导致的网格剖分难题,几十万单元的网格划分一般仅需几分钟;与PSBFE相比,显著提高了岩土结构弹塑性分析的效率,FE-PSBFE可减少超过80%的求解时间。FE-PSBFE耦合方法对其他复杂几何条件的工程问题也具有良好的实用性,为快速精细化抗震分析提供了技术手段。

     

    Abstract: A swift and efficient FE-PSBFE coupled elasto-plastic numerical method is proposed. The octree discretization technique is combined, and the hexahedrons are modelled using isoparametric element as in FEM while the PSBFEM is adopted to solve the other polyhedrons. In this manner, the problems including the difficulties of modelling, time consuming and laborious are eliminated in complicated geotechnical engineering structures. The precision and validity are verified using the simulation of a typical standard dam. Subsequently, a more complicated core wall dam is modelled using the FE-PSBFE coupled method, in which the flexibility, versatility and high efficiency are investigated. Compared with the traditional FEM, there are two primary superiorities that can be revealed:the process of modelling pretreatment can be accelerated dramatically, and the discretization problem considering the shape of complicated three-dimensional valley, layered construction and material partition simultaneously is eliminated, resulting in only few minutes expended in the discretization of hundreds thousand elements. Compared with the PSBFEM, the efficiency of elasto-plastic analysis can be improved significantly using the coupled FE-PSBFE, where more than 80% computation time can be saved. The FE-PSBFE method possesses satisfactory versatility in other complicated engineering geometries. The method can serve as a technological means for a swift elaborate seismic analysis.

     

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