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

超弹性矩形板单向拉伸时微孔的增长*

程昌钧 尚新春

程昌钧, 尚新春. 超弹性矩形板单向拉伸时微孔的增长*[J]. 应用数学和力学, 1997, 18(7): 573-578.
引用本文: 程昌钧, 尚新春. 超弹性矩形板单向拉伸时微孔的增长*[J]. 应用数学和力学, 1997, 18(7): 573-578.
Cheng Changjun, Shang Xinchun. The Growth of the Void in a Hyperelastic Rectangular Plate under a Uniaxial Extension[J]. Applied Mathematics and Mechanics, 1997, 18(7): 573-578.
Citation: Cheng Changjun, Shang Xinchun. The Growth of the Void in a Hyperelastic Rectangular Plate under a Uniaxial Extension[J]. Applied Mathematics and Mechanics, 1997, 18(7): 573-578.

超弹性矩形板单向拉伸时微孔的增长*

基金项目: * 国家自然科学基金;甘肃省自然科学基金

The Growth of the Void in a Hyperelastic Rectangular Plate under a Uniaxial Extension

  • 摘要: 本文研究了含中心微孔的超弹性矩形板在单向拉伸时的有限变形和受力分析.为了考察微孔的存在对矩形板变形和应力的影响,将问题化成一个超弹性环形板的变形和受力分析,并用最小势能原理得到变分近似解.进行了数值计算,分析了微孔的增长情况.
  • [1] J,M,Ball,Discontinuous equilibrum solution and cavitation in elasticity,Phil.Trans,Rod,Soc,London,A30(1982),557-610.
    [2] C,O,Horgan and J.J.Pence,Cavity for mation at the center of a composite imcompressible nonlinearly elastic sphere,J.Appl.Mech.,50(1989)302-308.
    [3] Hou Hangsheng,A study of combined asymmetric and cavitated bifurcation in Neo-Hookey material under symmetric dead loading,J,Appl.Mech.,60 (1993),1-7.
    [4] P,Podio-Guidugli,C.G.Vergarm and E,G.Yirga,Discontinuous energy minimizers in non-linear elastostatics; An example of J.Ball revisited,J.Elasticity,1(1986),75-96.
    [5] D,A,Pol ignone and C.O.Horgan,Effect of material anisotropy and inhomogencity on cavitation for composite imcompressible nonlinear elastic spheres,3(1993),3381-3416.
    [6] C,D,Horgan and R.Abeyaratue,A bifurcation problem for a compressible nonlinear elastic medium,growth of a micro-void,J.Elasticitb,1(1986),189-200.
    [7] D,M.Haughton,Cavitation in compressible elastic membrances,Int.J.Engng,Sci.,2(1990),163-168.
    [8] T.T,Oden,Finite Elements of Nonlinear Continua,McGraw-Hill,New York(1972).
    [9] R.T.Shield,Equilibira solution in finite elasticity,ASME J.Appd.Mech.,50th Anniversarv Issue(1983).
  • 加载中
计量
  • 文章访问数:  1798
  • HTML全文浏览量:  82
  • PDF下载量:  546
  • 被引次数: 0
出版历程
  • 收稿日期:  1996-12-18
  • 刊出日期:  1997-07-15

目录

    /

    返回文章
    返回