Refined shear-deformation models for composite laminates with finite rotations
type: Item
instance of: scholarly article
title: Refined shear-deformation models for composite laminates with finite rotations
zbMATH Open document ID: 0794.73036
DOI: 10.1016/0020-7683(93)90102-D
author: Yavuz Başar
author: Yunhe Ding
author: Reinhild Schultz
published in: International Journal of Solids and Structures
publication date: 1994-09-01T00:00:00Z
review text: A refined finite-rotation theory applicable to multilayered shell structures, made of composite material layers, is developed. The displacement field containing seven independent variables is approximated by a cubic series expansion of thickness coordinates. A quadratic shear distribution across the thickness is obtained. The given procedure allows a unique determination of the first order displacement term in the case of finite rotations. Kinematic relations are formulated in two alternative forms suitable for both classical and isoparametric finite element formulations. The constitutive relations presented model orthotropic material properties, varying arbitrarily across the thickness. Firstly, this third order theory is applied to a single layered shell. Then, by introducing further constraints three simplified models are obtained: a third-order theory with five independent variables; a Mindlin-Reissner type theory; a Kirchhoff-Love type theory. All these four models differ, however, from each other essentially in the constraints imposed on the first and third order displacement variables, thus a significant advantage can be obtained by a unified finite element development. Finally, the Mindlin-Reissner type theory is generalized to a layerwise model which is most predictive to determine local interlaminar effects, and finite element procedure is applied to obtain five theoretical models. The results are compared by means of appropriate numerical examples concerning linear and nonlinear problems (sandwich plate under sinusoidal and uniform transverse load, cylindrical bending of an asymmetric cross-plied laminate under uniformly distributed transverse load, and hyperboloidal shell under two pairs of opposite point loads). The general conclusion is that a single model can hardly be seen as the best one for all purposes. In reality a decision about the quality of an analysis model can be made under consideration of the requirements of the application field. The mod…
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 473182
zbMATH Keywords: thin shell theiry
zbMATH Keywords: multilayered structures
zbMATH Keywords: kinematic relations
zbMATH Keywords: Mindlin- Reissner theory
zbMATH Keywords: Kirchhoff-Love theory
zbMATH Keywords: sandwich plate
zbMATH Keywords: cubic series expansion
zbMATH Keywords: quadratic shear distribution
zbMATH Keywords: hyperboloidal shell
MaRDI profile type: Publication
full work available at URL: 0020-7683(93)90102-d
OpenAlex ID: W2084839764
description: scientific article; zbMATH DE number 473182