A beam finite element based on layerwise trigonometric shear deformation theory

被引：60

作者：

Shimpi, RP ^{[1
]}

Ainapure, AV ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Aerosp Engn, Bombay 400076, Mumbai, India

来源：

COMPOSITE STRUCTURES | 2001年 / 53卷 / 02期

关键词：

beam finite element; laminated beam; layerwise theory; shear deformation;

D O I：

10.1016/S0263-8223(00)00186-0

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A simple one-dimensional beam finite element, based on layerwise trigonometric shear deformation theory, is presented. The element has two nodes and only three degrees of freedom per node. Yet, it incorporates through the thickness sinusoidal variation of in-plane displacement such that shear-stress free boundary conditions on the top and bottom surfaces of the beam element are satisfied and the shear-stress distribution is realistic in nature. Constitutive relations between shear-stresses and shear-strains are satisfied in all the layers, and, therefore, shear correction factor is not required. Compatibility at the layer interface in respect of inplane displacement is also satisfied. It is to be noted that the element developed is free from sheer locking. The results obtained are accurate and show good convergence. Unlike many other elements, transverse shear-stresses are evaluated directly using constitutive relations. The efficacy of the present element is demonstrated through the examples of static flexure and free vibration. (C) 2001 published by Elsevier Science Ltd.

引用

页码：153 / 162

页数：10

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