Ding Haojiang, Guo Fenglin, Zou Daoqin. Elasticity Solutions for a Piezoelectric Cone Under Concentrated Loads at Its Apex[J]. Applied Mathematics and Mechanics, 1999, 20(1): 11-15.
Citation: Ding Haojiang, Guo Fenglin, Zou Daoqin. Elasticity Solutions for a Piezoelectric Cone Under Concentrated Loads at Its Apex[J]. Applied Mathematics and Mechanics, 1999, 20(1): 11-15.

Elasticity Solutions for a Piezoelectric Cone Under Concentrated Loads at Its Apex

  • Received Date: 1997-11-27
  • Rev Recd Date: 1998-10-05
  • Publish Date: 1999-01-15
  • Based on the general solution of the three-dimensional problem for piezoelectric materials, the problem of a piezoelectric cone subjected to concentrated loads at its apex is solved by trial-and-error method. The displacements and stresses are explicitly given for the cases of compression in the presence of point charge, bending and torsion. These solutions are simple in form and convenient for application. When the apex angle 2α equals π, the solutions for concentrated force, point charge and torsion reduce to those of the half-space problem.
  • loading
  • [1]
    Love A E H.A Treatise on the Mathematical Theory of Elasticity[M].4th edition,New York:Reprinted by Dover Publications,1994
    [2]
    Lur'e A I.Three-Dimensional Problems of the Theory of Elastiity[M].New York:Interscience Publishers,1964
    [3]
    Lekhniskii S G.Theory of Elasticity of an Anisotropic Elastiity Body[M].Moscow:Mir Publishers,1981
    [4]
    胡海昌.横观各向同性体的弹性力学的空间问题[J].物理学报,1953,9(2):130~144
    [5]
    Chen W T.Stress in a transversely isotropic elastic cone under an asymmetric force at its vertex[J].ZAMP,1965,16(22):337~344
    [6]
    丁皓江,邹道勤,任永坚.球面各向同性圆锥其顶端受力时的弹性力学解[J].应用数学和力学,1995,16(11):955~966
    [7]
    Sosa H A,Castro M A.On concentrated loads at the boundary of a piezoelectric half-plane[J].Journal of the Mechanics and Physics of Solids,1994,42:1105~1122
    [8]
    丁皓江,王国庆,陈伟球.用"调和函数"表示的压电介质平面问题的通解[J].应用数学和力学,1997,18(8):703~710
    [9]
    Ding Haojiang,Chen B,Liang J.General solution for coupled equations for piezoelectric media[J].International Journal of Solids and Structures,1996,33(16):2283~2298.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2053) PDF downloads(660) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return