Technical Papers
Sep 12, 2023

Unified Compressive Strength and Strain Ductility Models for Fully and Partially FRP-Confined Circular, Square, and Rectangular Concrete Columns

Publication: Journal of Composites for Construction
Volume 27, Issue 6

Abstract

Determination of fiber-reinforced polymer (FRP) confinement-induced improvements in the mechanical properties of concrete columns under compression is a current concern, particularly if partial confinement applied on a noncircular cross-sectional shape is to be considered. Although several design-oriented predictive formulations have been proposed for the calculation of axial strength and axial strain ductility of FRP-confined concrete, their applications are, in general, limited to a specific cross-sectional shape (circular, square, or rectangular cross section) and a certain confinement arrangement (fully or partially confining system). Accordingly, the aim in this study is to establish new unified strength and ductility models for concrete columns of circular or noncircular cross sections with fully or partially confining FRP systems. To achieve the highest level of predictive performance through a nonlinear regression technique, two datasets, consisting of 2,117 test data of peak strength and 2,050 test data of strain ductility, available in the literature, were collected. The dominance degrees of size effect, sectional noncircularity (corner radius ratio), cross-sectional aspect ratio, and confinement configuration type on confinement effectiveness were evaluated and reflected in the development of these regression-based models. Through predictions of test data compiled in the datasets and a comparison with the performances of available predictive models, the proposed unified formulations demonstrated a high level of reliability and were found to be proper for design purposes.

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Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

This study is a part of the project “Sticker—Innovative technique for the structural strengthening based on using CFRP laminates with multifunctional attributes and applied with advanced cement adhesives” (reference POCI-01-0247-FEDER-039755). The first author also acknowledges support provided by a FCT PhD individual fellowship 2019 (reference SFRH/BD/148002/2019).

Notation

The following symbols are used in this paper:
A0
regression coefficient;
A1
regression coefficient;
A2
regression coefficient;
A3
regression coefficient;
A4
regression coefficient;
A5
regression coefficient;
B0
regression coefficient;
B1
regression coefficient;
B2
regression coefficient;
B3
regression coefficient;
b
section dimension (shorter side of section);
Ef
FRP modulus elasticity;
fcc
peak axial strength of FRP-confined concrete;
fcu
ultimate axial strength of FRP-confined concrete;
fc0
peak axial strength of unconfined concrete;
fl,u
confinement pressure at FRP ultimate tensile strain;
fl,rup
confinement pressure at FRP rupture;
h
longer side of section;
KL
FRP confinement stiffness;
kh
reduction factor;
kv
reduction factor;
k0
constant coefficient;
L
column height;
Rca
cross-sectional aspect ratio, Rca = h/b;
Rr
nondimensional parameter, Rr = 2r/b;
Rsf
nondimensional parameter, Rsf = sf/b;
r
corner radius;
sf
distance between FRP strips;
tf
nominal thickness of FRP layer;
wf
FRP width;
Y1
error index;
Y2
error index;
Y3
error index;
αSE
calibration factor for size effect;
αR
calibration factor for noncircularity;
αUF
unification factor;
αλ
calibration factor for sectional aspect ratio effect;
βSE
calibration factor for size effect;
βR
calibration factor for noncircularity;
βUF
unification factor;
βλ
calibration factor for sectional aspect ratio effect;
β0
calibration factor;
Δc
FRP confinement-induced improvements;
ɛcu
ultimate axial strain;
ɛc0
axial strain corresponding to fc0;
ɛfu
ultimate tensile strain of FRP sheet;
ɛh,rup
rupture strain of FRP jacket;
μɛ
axial strain ductility;
νu
ultimate secant Poisson’s ratio;
ρɛ
rupture strain ratio of FRP jackets;
ρK,e1
FRP confinement stiffness index;
ξ
calibration factor;
ξ0
calibration factor;
Ψc
FRP confinement-induced improvements; and
ψ
strain reduction factor.

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Journal of Composites for Construction
Volume 27Issue 6December 2023

History

Received: Mar 31, 2023
Accepted: Aug 2, 2023
Published online: Sep 12, 2023
Published in print: Dec 1, 2023
Discussion open until: Feb 12, 2024

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Ph.D. Candidate, ISISE, Dept. of Civil Engineering, Univ. of Minho, Azurém 4800-058, Guimarães, Portugal (corresponding author). ORCID: https://orcid.org/0000-0002-8331-2434. Email: [email protected]
Full Professor, ISISE, IBS, Dept. of Civil Engineering, Univ. of Minho, Azurém 4800-058, Guimarães, Portugal. ORCID: https://orcid.org/0000-0003-1528-757X. Email: [email protected]
Ph.D. Candidate, ISISE, Dept. of Civil Engineering, Univ. of Minho, Azurém 4800-058, Guimarães, Portugal. ORCID: https://orcid.org/0000-0002-2920-9284. Email: [email protected]
Assistant Professor, Civil Engineering, Dept. of Mechanical and Construction Engineering, Northumbria Univ., Newcastle upon Tyne NE1 8ST, UK. ORCID: https://orcid.org/0000-0003-1411-0051. Email: [email protected]

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