Please cite this article in press as: Ascione, L., et al., Macro-scale analysis of local and global buckling behavior of T and C composite sections.
Mech. Re. Commun. (2013), http://dx.doi.org/10.1016/j.mechrescom.2013.10.004
ARTICLE IN PRESS
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MRC-2791; No. of Pages 7
Mechanics Research Communications xxx (2013) xxx–xxx
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Mechanics Research Communications
j o ur na l ho me pag e: www.elsevier.com/locate/mechrescom
Macro-scale analysis of local and global buckling behavior
of T and C composite sections
Luigi Ascione, Valentino Paolo Berardi
∗
, Antonella Giordano, Saverio Spadea
Department of Civil Engineering, University of Salerno, Italy
a r t i c l e i n f o
Article history:
Received 14 June 2013
Received in revised form 4 October 2013
Accepted 7 October 2013
Available online xxx
Keywords:
Fiber Reinforced Polymer
Thin-walled beam
Buckling
Finite element analysis
a b s t r a c t
Buckling modes of pultruded Fiber Reinforced Polymer (FRP) beams are analyzed in this paper. The study
is performed on the basis of two mechanical models recently proposed by the authors with regard to
global and local buckling of composite thin-walled beams. These models are developed within the theory
of small strains and moderate rotations and they take into account the contribution of shear deformation.
The constitutive law here adopted is based on the homogenization of the material properties at the macro
scale level. With regard to local stability, the junctions are considered as semi-rigid connections, whose
stiffness is strongly influenced by the microstructure of the material. A discussion on the effects of the
beam geometry and on the failure modes is presented. They may consist in local or global buckling as well
as in material failure. Further, the global buckling may be torsional or lateral. The discussion is supported
by non-dimensional diagrams which can be useful in design involving “T” and “C” sections subject to
axial and bending loads.
© 2013 Elsevier Ltd. All rights reserved.
1. Introduction
The use of FRP materials, as an alternative to conventional
materials, has rapidly increased in the last few decades due
to their reasonable durability, high specific strength and stiff-
ness. In particular, pultruded composite elements are currently
employed in pedestrian bridges and bridge decks, as well as, more
recently, in building structures (Clarke, 1996; Chambers, 1997; CNR
DT-205/2006; Bank, 2006). Many different types of FRP profiles
available on the market are typically characterized by a thin-walled
cross-section due to the shape optimization required to reduce
manufacturing costs.
With reference to the micro-scale level, pultruded composite
materials are based on reinforcing fibers (monofilament with a
diameter of about 10 m) all oriented in the longitudinal direction
of the members and embedded in a polymeric matrix. Homogeniza-
tion techniques based on the rule of mixtures allow us to consider
the composite as a homogenous transversely isotropic material
at a macro-scale level. On the other hand, the micro-structure of
the material can strongly influence the mechanical behavior of the
junctions, thus a proper characterization needs to be introduced in
order to capture the actual behavior of the beams.
∗
Corresponding author. Tel.: +39 089964084.
E-mail addresses: l.ascione@unisa.it (L. Ascione), berardi@unisa.it (V.P. Berardi),
angiordano@unisa.it (A. Giordano), sspadea@unisa.it (S. Spadea).
Over last few years, several studies have focused on the struc-
tural behavior of FRP thin-walled beams, dealing with the analysis
of the axial and flexural buckling modes. It is well known that due
to the thin-walled sectional geometry and the relatively low stiff-
ness of composite materials, the design of FRP pultruded members
is generally governed by deformability and stability requirements
rather than strength. In particular, the failure of pultruded FRP
beams and columns may be characterized by either local or global
instability.
The studies available in literature on global buckling have indi-
cated that the shear strain on the middle surface of the beam may
significantly affect the FRP ultimate behavior, due to the consid-
erable influence of shear deformability in such members (Kabir
and Sherbourne, 1998; Brooks and Turvey, 1995; Turvey, 1996;
Sapkás and Kollár, 2002; Mohri et al., 2002; Lee and Kim, 2001; Lee
et al., 2002; Roberts and Al-Ubaidi, 2001; Roberts, 2002; Machado
and Cortínez, 2005; Minghini et al., 2008; Feo and Mancusi, 2010;
Ascione et al., 2011; Fraternali et al., 2013). In the past, the local
buckling behavior of FRP pultruded beams has been investigated
by means of either 3-dimensional FEM analyses (Di Tommaso and
Russo, 2003; Pecce and Cosenza, 2000; Turvey and Zhang, 2006;
Nguyen et al., 2013) or by modeling the beams as a set of plates
mutually constrained by flexible junctions (Bank and Yin, 1996;
Nguyen et al., 2013; Rhodes, 1996; Qiao et al., 2001, 2003; Kollar,
2002; Shan and Qiao, 2005; Qiao and Shan, 2005; Mittelstedt, 2007).
Both approaches may overestimate the buckling load for the follow-
ing reasons: in the 3D FEM approach a rigid behavior of junctions
is typically considered, although experimental investigations have
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