土工基础 ›› 2021, Vol. 35 ›› Issue (4): 495-499.

• 专题论述 • 上一篇    下一篇

矩形桩数值解应力奇异问题分析方法

温广军1,李翻翻1,赵华宏1,谭贤君2   

  1. (1.安徽省交通规划设计研究总院股份有限公司 工程技术研究院,合肥 230088;
    2.中国科学院武汉岩土力学研究所 岩土力学与工程国家重点实验室,武汉 430071)
  • 收稿日期:2021-04-14 修回日期:2021-04-20 出版日期:2021-08-31 发布日期:2021-08-20
  • 作者简介:温广军(1979-),男,高级工程师,研究方向为公路岩土工程。
  • 基金资助:
    优秀青年基金项目(NO.51922104);安徽省住房城乡建设科学技术计划项目(2020-YF19)

Numerical Solution of Stress Singularity in Rectangular Piles

WEN Guangjun1, LI Fanfan1, ZHAO Huahong1, TAN Xianjun2   

  1. (1.Institute of Engineering Technology, Anhui Transportation Consulting & Design Institute Co. Ltd., Hefei 230088; 2.State Key Laboratory for Geomechanics and Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071)
  • Received:2021-04-14 Revised:2021-04-20 Online:2021-08-31 Published:2021-08-20

摘要: 矩形桩因自身几何形状不光滑,使得其在有限元分析时常出现应力奇异现象。使用倒圆角的方式对矩形桩尖角处进行光滑处理,可消除数值分析应力奇异现象,但倒圆角的尺寸对光滑处理后近似模型计算结果的可靠性存在一定影响。通过ANSYS建立单根矩形桩,分析了圆角尺寸对有限元计算结果真实性的影响程度。结果显示:当圆角尺寸R*<0.09时,结构整体位移计算结果可靠;当圆角尺寸R*<0.037时,结构整体应力计算结果可靠;最后模拟某一实际基坑开挖工程矩形桩支护变形,通过模拟结果与工程实际进行对比,验证了上述结果的准确性。工程计算中通过倒圆角可有效避免应力奇异引起的不收敛问题,同时选取合适的圆角尺寸,既能满足工程计算精度又能达到减少网格数量的目的。


关键词: 矩形桩, 应力奇异, 倒圆角, ANSYS

Abstract: Due to its non-smooth geometry, rectangular piles often demonstrate the stress singularity in the numerical analysis. Using rounded corners to smooth the corners of rectangular piles can eliminate the stress singularity, but the size of the rounded corners has some effects on the reliability of the approximate model results. In this paper, a numerical model single rectangular pile is established by a commercial finite element method software ANSYS, the degree of influence of the round size on the reality of the finite element approximation result is analyzed. When the size of the rounded corners is, the overall displacement calculation result of the structure is reliable; When the size of the rounded corners is, the overall stress analysis result of the structure is reliable; Finally, the deformation of the rectangular pile used as an actual deep excavation project is simulated, and the simulation results are compared with the construction monitoring results to validate numerical results. It is concluded that, in the numerical analysis, rounding corners can effectively minimize the non-convergence problem caused by stress singularity. At the same time, selecting the appropriate size of the rounded corners according to the results of this paper can not only satisfy the accuracy of numerical analysis but also reduce the number of meshes.

Key words: Rectangular Piles, stress Singularity, Rounded Corner, ANSYS

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