期刊文献+

含球形空腔或刚性夹杂的中厚圆板在弯曲变形时的弹性场 被引量:1

THE ELASTIC FIELD OF MIDDLE THICK CIRCULAR PLATE WITH A SPHERICAL CAVERN OR A RIGID INCLUSION UNDERGOING BENDING LOAD
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摘要 本文将空间轴对称问题的Папковиц-Neuber通解用复变量广义解析函数表示,推导出用复变函数法求解空间轴对称问题的基本公式,并以此为工具求得了含球形空腔或刚性夹杂的中厚圆板在轴对称弯曲变形时的完全解. The -Neuber general solution to the axisymmetrical problems are expressed in the form of complex generalized analytic function in this paper. The basic formulae of solving the axisymmetrical problems based en the complex function technique are deduced. Consequently, the theoretical solutions are obtained with these fo(?)mulae for the middle-think circular plate with a spherical cavern or a rigid inclusion undergoing axisymmetrical bending.
机构地区 西安交通大学
出处 《应用力学学报》 CAS CSCD 北大核心 1989年第2期51-60,128,共10页 Chinese Journal of Applied Mechanics
关键词 中厚圆板 弹性场 弯曲 球腔 generalized analytic function spherical cavern rigid inclusion elasstic field
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参考文献3

  • 1黄炎,局部应力及其应用,1986年
  • 2樊大钧,空间弹性力学,1985年
  • 3匿名著者,广义解析函数,1960年

同被引文献24

  • 1杨丽敏,柳春图,曾晓辉.含圆孔压电板弯曲问题[J].机械强度,2005,27(1):85-94. 被引量:3
  • 2许希武,章怡宁,杨旭.含孔有限大各向异性板的应力集中[J].航空学报,1995,16(3):370-375. 被引量:8
  • 3贺鹏飞,Ishik.,H.弯曲外载作用下夹杂角点的应力奇异性[J].同济大学学报(自然科学版),1996,24(4):405-410. 被引量:1
  • 4Sayin G N. Stress Concentration Round Holes[M]. London: Pergamon Press, 1961.
  • 5Redwood R G. The bending of a plate loaded through a rigid rectangular inclusion [J]. International Journal of Mechanical Sciences, 1965, 7(6) : 421-430.
  • 6Cheng Z Q, Reddy J N. Laminated anisotropic thin plate with an elliptic inhomogeneity [J]. Mechanics of Materials, 2004, 36(7): 547-557.
  • 7Rudoy E M. The Griffith formula and Cherepanov-Rice integral for a plate with a rigid inclu- sion and a crack[J]. JMath Sci, 2012, 186(3) : 511-529.
  • 8Hsieh M C, Hwu C. Anisotropic elastic plates with holes/cracks/inclusions subjected to out- of-plane bending moments [ J ]. International Journal of Solids and Structures, 2002, 39 (19) : 4905-4925.
  • 9Hwu C, Tan C J. In-plane/out-of-plane concentrated forces and moments on composite lami- nates with elliptical elastic inclusions[J]. International Journal of Solids and Structures, 2007, 44(20): 5584-5505.
  • 10Gao L M, Wang J, Zhong Z, Du J K. An analysis of surface acoustic wave propagation in functionally graded plates with homotopy analysis method[J]. Acta Mech, 2009, 208(3) : 249- 258.

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