Large deflection of unsymmetric laminates with mixed boundary conditions
type: Item
instance of: scholarly article
title: Large deflection of unsymmetric laminates with mixed boundary conditions
zbMATH Open document ID: 0573.73061
DOI: 10.1016/0020-7462(85)90035-6
author: C. Y. Chia
published in: International Journal of Non-Linear Mechanics
publication date: 1985-01-01T00:00:00Z
review text: This paper is analytically concerned with nonlinear bending of an unsymmetrically laminated angle-ply rectangular plate under lateral load. The plate edges are subjected to the varying rotational constraints. A series solution satisfying the von Kármán-type nonlinear equations and the required boundary conditions of the plate is presented. In the formulation the edge moments are replaced by an equivalent lateral pressure near the plate edges. Governing equations are reduced to a set of algebraic equations. Numerical results for maximum deflection, bending moment and inplane force of unsymmetric angle-ply plates are graphically presented for various high-modulus materials, aspect ratios, geometries of lamination and boundary conditions. Present results are also compared with available data.
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 3915763
zbMATH Keywords: generalized double Fourier series solution
zbMATH Keywords: even number of perfectly bonded orthotropic plies
zbMATH Keywords: nonlinear bending
zbMATH Keywords: unsymmetrically laminated angle-ply rectangular plate
zbMATH Keywords: lateral load
zbMATH Keywords: edges
zbMATH Keywords: varying rotational constraints
zbMATH Keywords: von Kármán-type nonlinear equations
zbMATH Keywords: boundary conditions
zbMATH Keywords: edge moments are replaced by an equivalent lateral pressure near the plate edges
zbMATH Keywords: reduced to a set of algebraic equations
zbMATH Keywords: Numerical results
zbMATH Keywords: maximum deflection
zbMATH Keywords: bending moment
zbMATH Keywords: inplane force
zbMATH Keywords: various high- modulus materials, aspect ratios
zbMATH Keywords: geometries of lamination
MaRDI profile type: Publication
full work available at URL: 0020-7462(85)90035-6
OpenAlex ID: W2053619313
description: scientific article; zbMATH DE number 3915763