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 引用本文: 丁皓江, 国凤林, 邹道勤. 压电材料圆锥顶端作用集中载荷的解[J]. 应用数学和力学, 1999, 20(1): 11-15.
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.

压电材料圆锥顶端作用集中载荷的解

作者简介:丁皓江(1934～ ),男,教授,博士生导师.
• 中图分类号: O343.2;O482.41

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

• 摘要: 从压电材料三维问题的通解出发,用凑合法求解了圆锥顶端作用集中力、点电荷和集中力矩的解,此解形式简单便于应用。当圆锥顶角2α=π时,集中力、点电荷和扭矩的解可退化得到半空间问题的解。
•  [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.

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• 被引次数: 0
出版历程
• 收稿日期:  1997-11-27
• 修回日期:  1998-10-05
• 刊出日期:  1999-01-15

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