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多边形应力杂交单元的接触算法研究

杨锋 郭然

杨锋, 郭然. 多边形应力杂交单元的接触算法研究[J]. 应用数学和力学, 2019, 40(10): 1059-1070. doi: 10.21656/1000-0887.400046
引用本文: 杨锋, 郭然. 多边形应力杂交单元的接触算法研究[J]. 应用数学和力学, 2019, 40(10): 1059-1070. doi: 10.21656/1000-0887.400046
YANG Feng, GUO Ran. Study on Contact Algorithms for the Polygonal Hybrid Stress Element Method[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1059-1070. doi: 10.21656/1000-0887.400046
Citation: YANG Feng, GUO Ran. Study on Contact Algorithms for the Polygonal Hybrid Stress Element Method[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1059-1070. doi: 10.21656/1000-0887.400046

多边形应力杂交单元的接触算法研究

doi: 10.21656/1000-0887.400046
基金项目: 国家自然科学基金(11572142)
详细信息
    作者简介:

    杨锋(1994—),男,硕士(E-mail: yangfeng329@163.com);郭然(1968—),男,教授,博士,博士生导师(通讯作者. E-mail: prof.guo@189.cn).

  • 中图分类号: O343.3

Study on Contact Algorithms for the Polygonal Hybrid Stress Element Method

Funds: The National Natural Science Foundation of China(11572142)
  • 摘要: 针对单元较小的情况下,现有的非均匀模型难以得到精确应力场和应力集中现象的问题,采用直接约束法,提出了一种基于多边形应力杂交单元的优化接触算法.多边形应力杂交单元在应力函数的构造以及积分区域划分上的优势,使其能适应复杂的模型边界与材料边界,更易划分网格.根据上述理论研究成果编制了完整的计算程序,算例结果发现该方法能够得到粉末压制过程的宏观非线性力学响应、高精度的应力场以及明显的应力集中现象,为复杂优化问题的求解提供了有效手段.
  • [1] 王曼灵, 王爱涛, 李阳, 等. 基于FEMLIP的全风化边坡失稳破坏全过程的数值模拟研究[J]. 应用数学和力学, 2019,40(3): 269-281.(WANG Manling, WANG Aitao, LI Yang, et al. Numerical simulation of the whole instability and destruction process for fully weathered slopes based on the FEMLIP[J]. Applied Mathematics and Mechanics,2019,40(3): 269-281.(in Chinese))
    [2] 江成, 甯尤军, 武鑫. 地应力条件下的凿岩爆破数值模拟[J]. 工程爆破, 2017,23(1): 16-20.(JIANG Cheng, NING Youjun, WU Xin. Numerical simulation of drilling blasting under earth stress[J]. Engineering Blasting,2017,3(1): 16-20.(in Chinese))
    [3] TAN Liming, HE Guoai, LIU Feng, et al. Effects of temperature and pressure of hot isostatic pressing on the grain structure of powder metallurgy superalloy[J]. Materials,2018,11(2): 328-338.
    [4] MINDLIN R D. Compliance of elastic bodies in contact[J]. Journal of Applied Mechanics,1949,16(9): 259-268.
    [5] MUSKHELISHVILI N I. Some Basic Problems of the Mathematical Theory of Elasticity: Fundamental Equations Plane Theory of Elasticity Torsion and Bending [M]. Springer, 1977.
    [6] RAHMAN M U, ROWLANDS R E, COOK R D, et al. An iterative procedure for finite-element stress analysis of frictional contact problems[J]. Computers & Structures,1984,18(6): 947-954.
    [7] 陈文胜, 郑宏. 岩石块体三维接触判断的侵入边法[J]. 岩石力学与工程学报, 2004,23(4): 565-571.(CHEN Wensheng, ZHENG Hong. Detection of 3D rock block contacts by penetration edges[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(4): 565-571.(in Chinese))
    [8] SHI Genhua. Discontinuous deformation analysis: a new numerical model for the statics and dynamics of block system[J]. Engineering Computations, 1992,9: 157-168.
    [9] UNDERHILL W R C, DOKAINISH M A, ORAVAS G.A method for contact problems using virtual elements[J]. Computer Methods in Applied Mechanics & Engineering,1997,143(3): 229-247.
    [10] PIAN T H H. Derivation of element stiffness matrices by assumed stress distributions[J]. AIAA Journal,1964,2(3): 1333-1336.
    [11] 郭然. 颗粒增强复合材料界面脱层和热机疲劳的数值模拟[D]. 博士学位论文. 北京: 清华大学, 2003.(GUO Ran. Numerical simulation of interfacial delamination and thermal-mechanical fatigue of particulate reinforced composites[D]. PhD Thesis. Beijing: Tsinghua University, 2003.(in Chinese))
    [12] 赵建才, 郝旺身, 姚振强. 基于直接约束法的密封条与车门之间的接触特性研究[J]. 弹性体, 2005,15(3): 17-20.(ZHAO Jiancai, HAO Wangshen, YAO Zhenqiang. Study on contact characteristics between seal and door based on direct restriction[J]. Elastomer,2005,15(3): 17-20.(in Chinese))
    [13] 杜丽惠, 刘先行, 刘宁. 评价高边坡断层的直接约束方法[J]. 清华大学学报(自然科学版), 2005,45(12): 1613-1616.(DU Lihui, LIU Xianxing, LIU Ning. Direct constraint procedure forevaluating faults on steep slopes[J]. Journal of Tsinghua University(Natural Science Edition ), 2005,45(12): 1613-1616.(in Chinese))
    [14] FARAHANI K, MOFID M, VAFAI A. A solution method for general contact-impact problems[J]. Computer Methods in Applied Mechanics & Engineering,2000,187(1): 69-77.
    [15] 李小凯, 郑宏. 基于线性互补的非连续变形分析[J]. 岩土力学, 2014,35(6): 1777-1794.(LI Xiaokai, ZHENG Hong. Discontinuous deformation analysis based on linear complementarity theory[J]. Rock and Soil Mechanics,2014,35(6): 1777-1794.(in Chinese))
    [16] 蒲军平. 二维含缺陷弹性体移动和滚动接触的边界元法[D]. 博士学位论文. 北京: 清华大学, 2000.(PU Junping. Boundary element method for moving and rolling contact of 2D elastic bodies with defects[D]. PhD Thesis. Beijing: Tsinghua University, 2000.(in Chinese))
    [17] 周书助, 彭卫珍, 杜亨全. YF06纳米硬质合金粉末压制性能的研究[J]. 硬质合金, 2004,21(3): 138-141.(ZHOU Shuzhu, PENG Weizhen, DU Hengquan. The study of the pressing-pepformance of the peg-added and spraryed nanometer cemented carbide powderm[J]. Cemented Carbide,2004,21(3): 138-141.(in Chinese))
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出版历程
  • 收稿日期:  2019-01-25
  • 修回日期:  2019-03-08
  • 刊出日期:  2019-10-01

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