REFINED THEORIES OF ELASTIC ANISOTROPIC SHELLS ACCOUNTING FOR SMALL STRAINS AND MODERATE ROTATIONS

被引：48
作者：
LIBRESCU, L
SCHMIDT, R
机构：
[1] UNIV GESAMTHSCH WUPPERTAL,INST CIVIL ENGN MECH,D-5600 WUPPERTAL 1,FED REP GER
[2] TEL AVIV UNIV,DEPT SOLID MECH MAT & STRUCT,IL-69978 TEL AVIV,ISRAEL
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 1988年 / 23卷 / 03期
关键词：
EQUATIONS OF MOTION - MATHEMATICAL TECHNIQUES - Variational Techniques;
D O I：
10.1016/0020-7462(88)90013-3
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A geometrically non-linear theory of elastic anisotropic shells based upon discarding Kirchhoff-Love assumptions is developed in this paper. The theory incorporates transverse (normal and shear) deformation as well as the higher-order effects and accounts for small strains and moderate rotations of the normal. The theory is given in a complete Lagrangian description while the equations of motion and the boundary conditions are obtained through the Hamilton variational principle. Appropriate specializations of the obtained results are performed revealing that they cover a large number of cases separately treated in the specialized literature but considered here in a unified manner.
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页码：217 / 229
页数：13
相关论文
共 22 条
  • [1] Ainola L. Ya., 1965, IZV AKAD NAUK EST SS, V14, P337
  • [2] Galimov K. Z., 1977, THEORY SHELLS TRANSV
  • [3] GALIMOV KZ, 1975, F NONLINEAR THEORY S
  • [4] JEFFERS RG, 1975, ISRAEL J TECHNOL, V13, P111
  • [5] Koiter W.T., 1966, P KON NED AKAD WET B, V69, P1
  • [6] KOITER WT, 1973, THEOR APPL MECH, P150, DOI DOI 10.1007/978-3-642-65590-6_11
  • [7] LIBRESCU L, 1975, ELASTOSTATIC KINETIC, P457
  • [8] LIBRESCU L, 1986, P EUROMECH C, V197, P158
  • [9] LIBRESCU L, 1987, P EUROMECH C, V219, P140
  • [10] Naghdi P.M., 1973, LINEAR THEORIES ELAS, P425, DOI [10.1007/978-3-662-39776-3_5, DOI 10.1007/978-3-662-39776-3_5]
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