A Boundary Element Approach To Buckling Of
General Laminates
Author(s)
S. Syngellakis
Abstract
Laminates, comprising plies stacked in various orientations relative to their
principal material frames of reference, generally exhibit coupling between their
in-plane displacements and transverse deflection under any loading conditions.
The main theme of this paper is the development of integral equations for the
bifurcation buckling analysis of laminates taking into account this coupling. The
formulation of the extensional problem is based on the stress function concept,
which results in constitutive relations and a field equation mathematically
equivalent to those of the plate bending problem. This has the advantage of using
the same form of fundamental solution, similar boundary and domain modelling
as well as the development of common algorithms for the solution of the two
coupled problems. Modelling approaches for dealing with irreducible domain
integrals arising from both extension-flexure coupling and geometric
nonlinearity are presented.
Keywords: laminates, bending-extension coupling, buckling, boundary elements.
1 Introduction
The design of structural components made of composites can be tailored to meet
the specific demands of a particular application by making optimum use of
available materials. The mechanical behaviour of flat laminates, in particular,
depends on ply orientation, number of plies in a given direction, thickness of
individual plies, type of ply and the ply stacking sequence. The latter generally
causes coupling between the transverse deflection and the in-plane displacements
of a laminate. This coupling is absent only in the special case of \“balanced”
laminates in which plies are symmetrically arranged with respect to the middle
plane of the plate. The coupling effects have been taken into account in the
Keywords
laminates, bending-extension coupling, buckling, boundary elements.
Related Book
Other papers in this volume
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