On the Different Possibilities to Derive Plate and Shell Theories

被引：0
|
作者：
Altenbach, Holm [1 ]
Meenen, Johannes [2 ]
机构：
[1] Univ Halle Wittenberg, Lehrstuhl Tech Mech, Zentrum Ingenieurwissensch, D-06099 Halle, Saale, Germany
[2] Brabantstrasse 10-18, D-52070 Aachen, Germany
来源：
IUTAM SYMPOSIUM ON RELATIONS OF SHELL, PLATE, BEAM, AND 3D MODELS | 2008年 / 9卷
关键词：
homogeneous and inhomogeneous plates; von Karman theory;
D O I：
10.1007/978-1-4020-8774-5_3
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
The plate theory is an old branch of solid mechanics - the first development of a general plate theory was made by Kirchhoff more than 150 years ago. After that many improvements were suggested, at the same time some research was focussed on the establishment of a consistent plate theory. Limiting ourself by the linear elastic case, it will be demonstrated that the von Karman theory can be deduced from the three-dimensional continuum mechanics equation.
引用
收藏
页码：37 / +
页数：5
相关论文
共 50 条
  • [31] ON PLATE THEORIES AND SAINTVENANT PRINCIPLE
    GREGORY, RD
    WAN, FYM
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1985, 21 (10) : 1005 - 1024
  • [32] DECOMPOSITION PARAMETERS OF SHELL THEORIES
    CONZELMANN, R
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1991, 71 (04): : T299 - T301
  • [33] A CLASSIFICATION OF THIN SHELL THEORIES
    DESTUYNDER, P
    ACTA APPLICANDAE MATHEMATICAE, 1985, 4 (01) : 15 - 63
  • [34] Incompressibility in rod and shell theories
    Antman, SS
    Schuricht, F
    RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1999, 33 (02): : 289 - 304
  • [35] A FAMILY OF ACCURATE PLATE THEORIES
    RYCHTER, Z
    MECHANICS RESEARCH COMMUNICATIONS, 1992, 19 (06) : 505 - 510
  • [36] Consistent Poroelastodynamic Plate Theories
    Schanz, M.
    Nagler, L.
    PORO-MECHANICS IV, 2009, : 878 - 883
  • [37] THE CONSISTENCY OF EXPANDED PLATE THEORIES
    TESCHNER, W
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1984, 64 (04): : T158 - T159
  • [38] COMPARISON OF ELASTICITY, SHELL CORE, AND SANDWICH SHELL THEORIES
    CHANDRASHEKHARA, K
    BHIMARADDI, A
    AIAA JOURNAL, 1983, 21 (01) : 114 - 119
  • [39] Justice and personality: Using integrative theories to derive moderators of justice effects
    Colquitt, Jason A.
    Scott, Brent A.
    Judge, Timothy A.
    Shaw, John C.
    ORGANIZATIONAL BEHAVIOR AND HUMAN DECISION PROCESSES, 2006, 100 (01) : 110 - 127
  • [40] Possibilities for gasketed plate heat exchangers
    Moriwaki, Masanao
    Ishihama, Kiyoshi
    NUCLEAR ENGINEERING INTERNATIONAL, 2015, 60 (730): : 26 - 27
12345