Locking-free two-layer Timoshenko beam element with interlayer slip

Simon Schnabl (Author), Miran Saje (Author), Goran Turk (Author), Igor Planinc (Author)

Abstract

A new locking-free strain-based finite element formulation for the numerical treatment of linear static analysis of two-layer planar composite beams with interlayer slip is proposed. In this formulation, the modified principle of virtual work is introduced as a basis for the finite element discretization. The linear kinematic equations are included into the principle by the procedure, similar to that of Lagrangian multipliers. A strain field vector remains the only unknown function to be interpolated in the finite element implementation of the principle. In contrast with some of the displacement-based and mixed finite element formulations of the composite beams with interlayer slip, the present formulation is completely locking-free. Hence, there are no shear and slip locking, poor convergence and stress oscillations in these finite elements. The generalization of the composite beam theory with the consideration of the Timoshenko beam theory for the individual component of a composite beam represents a substantial contribution in the field of analysis of non-slender composite beams with an interlayer slip. An extension of the present formulation to the non-linear material problems is straightforward. As only a few finite elements are needed to describe a composite beam with great precision, the new finite element formulations is perfectly suited for practical calculations. (c) 2007 Elsevier B.V. All rights reserved.

Keywords

kompozitni nosilec;zdrs;Timoshenkova teorija nosilcev;blokiranje;metoda končnih elementov;composite beam;interlayer slip;Timoshenko beam theory;locking;finite element method;

Data

Language:	English
Year of publishing:	2007
Typology:	1.01 - Original Scientific Article
Organization:	UL FGG - Faculty of Civil and Geodetic Engineering
Publisher:	Elsevier
UDC:	519.63:624.072
COBISS:	3549025
ISSN:	0168-874X
Views:	3008
Downloads:	949
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary keywords:	kompozitni nosilec;zdrs;Timoshenkova teorija nosilcev;blokiranje;metoda končnih elementov;
File type:	application/pdf
Type (COBISS):	Not categorized
Pages:	Str. 705-714
Volume:	Letn. 43
Issue:	Št. 9
Chronology:	2007
DOI:	10.1016/j.finel.2007.03.002
ID:	8312278