An elementary derivation of basic equations of the Reissner and Mindlin plate theories

被引：18

作者：

Batista, Milan ^{[1
]}

机构：

[1] Univ Ljubljana, Fac Maritime Studies & Transport, Ljubljana 61000, Slovenia

来源：

ENGINEERING STRUCTURES | 2010年 / 32卷 / 03期

关键词：

Elasticity; Plate theory; Shear deformable plates;

D O I：

10.1016/j.engstruct.2009.12.046

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

The basic equations of the Reissner and Mindlin plate theories are derived in an elementary way from the underlying assumptions of the theories about the distribution of in-plane stresses in the Reissner case and the distribution of displacement components in the Mindlin case. The derived equations include a parameter which allows the interpretation of the theories as an approximation of isotropic plates or transversally inextensible plates. Qualitative comportment between the theories is also given. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：906 / 909

页数：4

共 18 条

[1]

BATISTA M, 2009, ACTA MECH ONLINE

[2]

Bolle L., 1947, B TECHNIQUE SUISSE 1, V73, P281

[3] ELASTICITY THEORY OF PLATES AND A REFINED THEORY [J].

CHENG, S .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1979, 46 (03) :644-650

[4]

Girkmann K., 1963, Flachentragwerke, Vsixth

[5]

Green A.E., 2002, Phoenix Edition Series

[6]

HERICKY H, 1947, ING ARCH, V16, P72

[7]

KRORRIM A, 1953, ING ARCH, V21, P266

[8]

MINDLIN RD, 1951, J APPL MECH-T ASME, V18, P31

[9]

Panc V., 1975, Theories of elastic plates

[10] ON BENDING OF ELASTIC PLATES [J].

REISSNER, E .

QUARTERLY OF APPLIED MATHEMATICS, 1947, 5 (01) :55-68

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