留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

二维周期性单胞网格结构的等效热弹性分析

张朝晖 李宝辉 史姣

张朝晖, 李宝辉, 史姣. 二维周期性单胞网格结构的等效热弹性分析[J]. 应用数学和力学, 2018, 39(6): 714-727. doi: 10.21656/1000-0887.390025
引用本文: 张朝晖, 李宝辉, 史姣. 二维周期性单胞网格结构的等效热弹性分析[J]. 应用数学和力学, 2018, 39(6): 714-727. doi: 10.21656/1000-0887.390025
ZHANG Zhaohui, LI Baohui, SHI Jiao. Equivalent ThermoElasticity Analysis of 2D Lattice Structures With Periodic Unit Cells[J]. Applied Mathematics and Mechanics, 2018, 39(6): 714-727. doi: 10.21656/1000-0887.390025
Citation: ZHANG Zhaohui, LI Baohui, SHI Jiao. Equivalent ThermoElasticity Analysis of 2D Lattice Structures With Periodic Unit Cells[J]. Applied Mathematics and Mechanics, 2018, 39(6): 714-727. doi: 10.21656/1000-0887.390025

二维周期性单胞网格结构的等效热弹性分析

doi: 10.21656/1000-0887.390025
基金项目: 国家自然科学基金(51505388);国家重点研发计划(2017YFC0405102);中央高校基本科研业务费(2452017119)
详细信息
    作者简介:

    张朝晖(1977—),男,副教授,博士生(E-mail: zzhgmj@163.com);李宝辉(1984—),男,讲师,博士(E-mail: libaohui84@163.com);史姣(1976—),女,副教授,博士,硕士生导师(通讯作者. E-mail: shijiaoau@163.com).

  • 中图分类号: TV31

Equivalent ThermoElasticity Analysis of 2D Lattice Structures With Periodic Unit Cells

Funds: The National Natural Science Foundation of China(51505388);The National Key Research and Development Project of China(2017YFC0405102)
  • 摘要: 分析了含周期性杆件胞元的二维网格结构的热弹性性质.根据拟膜法推导了网格结构的等效热膨胀系数.将结构的拟膜的等效热膨胀系数表示成为胞元内各杆几何与物理参数的显式函数形式.基于胞元在热荷载作用变形后的新尺寸给出了拟膜的等效弹性参数表达式.通过数值算例分析了结构在降温、增温和温度不变条件下的变形差异.然后,用网格结构、拟连续体的数值解与理论解进行了对比分析.结果表明上述热弹性参数表达式正确.由此将拟膜法推广到二维网格结构的热弹性分析中.
  • [1] 董石麟, 夏亨熹. 正交正放类网架结构的拟板(夹层板)分析法(上)[J]. 建筑结构学报, 1982,3(2): 14-25.(DONG Shilin, XIA Hengxi. Analysis of orthogonal and ortho-laid space truss as equivalent (sandwich) plate (part I)[J]. Journal of Building Structures,1982,3(2): 14-25.(in Chinese))
    [2] 董石麟, 夏亨熹. 正交正放类网架结构的拟板(夹层板)分析法(下)[J]. 建筑结构学报, 1982,3(3): 14-22.(DONG Shilin, XIA Hengxi. Analysis of orthogonal and ortho-laid space truss as equivalent (sandwich) plate (part II)[J]. Journal of Building Structures,1982,3(3): 14-22.(in Chinese))
    [3] 阎军, 程耿东, 刘书田, 等. 周期性点阵类桁架材料等效弹性性能预测及尺度效应[J]. 固体力学学报, 2005,26(4): 421-428.(YAN Jun, CHENG Gengdong, LIU Shutian, et al. Prediction of equivalent elastic properties of truss materials with periodic microstructure and the scale effects[J]. Acta Mechanica Solida Sinica,2005,26(4): 421-428.(in Chinese))
    [4] 张卫红, 骆金威, 戴高明, 等. 周期性多孔材料等效剪切模量与尺寸效应研究[J]. 力学学报, 2011,43(1): 144-153.(ZHANG Weihong, LUO Jinwei, DAI Gaoming, et al. Numerical predictions of effective shear modulus and size effect for periodic cellular materials[J]. Chinese Journal of Theoretical and Applied Mechanics,2011,43(1): 144-153.(in Chinese))
    [5] 胡更开, 郑泉水, 黄筑平. 复合材料有效弹性性质分析方法[J]. 力学进展, 2001,31(3): 361-393.(HU Gengkai, ZHENG Quanshui, HUANG Zhuping. Micromechanics methods for effective elastic properties of composite materials[J]. Advances in Mechanics,2001,31(3): 361-393.(in Chinese))
    [6] HASSANI B, HINTON E. A review of homogenization and topology optimization I: homogenization theory for media with periodic structure[J]. Computers and Structures,1998,69(6): 707-717.
    [7] GIBSON L J, ASHBY M F. Cellular Solids: Structure and Properties [M]. Cambridge University Press, 1997.
    [8] TOLLENAERE H, CAILLERIE D. Continuous modeling of lattice structures by homogenization[J].Advances in Engineering Software,1998,29(7/9): 699-705.
    [9] 〖JP2〗OSTOJA-STARZEWSKI M. Lattice models in micromechanics[J]. Applied Mechanics Reviews,2002,55(1): 35-60.〖JP〗
    [10] WADLEY H N G, FLECK N A, EVANS A G. Fabrication and structural performance of periodic cellular metal sandwich structures[J]. Composites Science and Technology,2003,63(16): 2331-2343.
    [11] ABOUDI J, GILAT R. Micromechanical analysis of lattice blocks[J]. International Journal of Solids and Structures,2005,42(15): 4372-4392.
    [12] HUTCHINSON R G, FLECK N A. The structural performance of the periodic truss[J]. Journal of Mechanics and Physics of Solids,2006,54(4): 756-782.
    [13] 周加喜, 邓子辰. 类桁架夹层板的等效弹性常数研究[J]. 固体力学学报, 2008,29(2): 187-192.(ZHOU Jiaxi, DENG Zichen. On the effective elastic constants of truss-core panel[J]. Chinese Journal of Solid Mechanics,2008,29(2): 187-192.(in Chinese))
    [14] 张洪武, 吴敬凯, 付振东. 周期性点阵桁架材料力学性能分析的一种新的多尺度计算方法[J]. 固体力学学报, 2011,32(2): 109-118.(ZHANG Hongwu, WU Jingkai, FU Zhendong. A new multiscale computational method for mechanical analysis of periodic truss materials[J]. Chinese Journal of Solid Mechanics,2011,32(2): 109-118.(in Chinese))
    [15] 梁军, 黄富华, 杜善义. 周期性单胞复合材料有效弹性性能的边界力方法[J]. 复合材料学报, 2010,27(2): 108-112.(LIANG Jun, HUANG Fuhua, DU Shanyi. Boundary force method to predict the effective elastic properties of periodical unit cell composite material[J]. Acta Materiae Compositae Sinica,2010,27(2): 108-112.(in Chinese))
    [16] 史姣, 蔡坤, 王正中. 拟膜分析法及应用[J]. 应用基础与工程科学学报, 2008,16(5): 749-756.(SHI Jiao, CAI Kun, WANG Zhengzhong. Pseudo-membrane method and its application[J]. Journal of Basic Science and Engineering,2008,16(5): 749-756.(in Chinese))
    [17] 蔡坤, 陈飙松, 张洪武. 二维连续体结构的拓扑和材料一体化设计[J]. 应用基础与工程科学学报, 2008,16(1): 92-102.(CAI Kun, CHEN Biaosong, ZHANG Hongwu. Integrative design of topology and material of two-dimensional continuum structures[J]. Journal of Basic Science and Engineering,2008,16(1): 92-102.(in Chinese))
    [18] 蔡坤, 史姣. 含周期性索-杆胞元的二维网格结构拟膜分析[J]. 工程力学, 2011,28(10): 27-33.(CAI Kun, SHI Jiao. Pseudo-membrane method for two-dimensional lattice structure with periodic cable-link cells[J]. Engineering Mechanics,2011,28(10): 27-33.(in Chinese))
    [19] 吴世平, 唐绍锋, 梁军, 等. 周期性复合材料热力耦合性能的多尺度方法[J]. 哈尔滨工业大学学报, 2006,38(12): 2049-2053.(WU Shiping, TANG Shaofeng, LIANG Jun, et al. Multi-scale method for thermo-elasticity properties of composite materials with small periodic configuration[J]. Journal of Harbin Institute of Technology,2006,38(12): 2049-2053.(in Chinese))
    [20] 张卫红, 汪雷, 孙士平. 基于导热性能的复合材料微结构拓扑优化设计[J]. 航空学报, 2006,27(6): 1229-1233.(ZHANG Weihong, WANG Lei, SUN Shiping. Topology optimization for microstructures of composite materials based on thermal conductivity[J]. Acta Meronautica et Astronautica Sinica,2006,27(6): 1229-1233.(in Chinese))
  • 加载中
计量
  • 文章访问数:  758
  • HTML全文浏览量:  93
  • PDF下载量:  806
  • 被引次数: 0
出版历程
  • 收稿日期:  2018-01-16
  • 修回日期:  2018-04-25
  • 刊出日期:  2018-06-15

目录

    /

    返回文章
    返回