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FRP confinement of masonry: analytical modeling

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Abstract

International and National Building Codes provide requirements for design and construction of new masonry structures, but design provisions for the repair, retrofitting, and rehabilitation of masonry structures are not always available and included in the same documents. Due to the extremely large variability in masonry performances, equations of general validity cannot often be provided, namely relationships suitable for every masonry type. Despite the great research effort in the experimental field, considerable theoretical work is still needed to fully outline a definitive analytical model to predict the behavior of FRP confined masonry. Most of the available models, empirical in nature, have been calibrated against their own sets of experimental data, or they are simply derived from concrete. Even if large amount of results obtained for concrete led to consolidated design guidelines, they cannot be simply extended to masonry. In this study, a mechanically based confinement model is proposed based on mechanical parameters able to differentiate similar masonry types and to highlight that they present different confinement performance. Crucial aspects of masonry confinement will be also discussed, namely: lateral dilation; confinement effectiveness; lateral pressure also in non-circular shapes; effective strain of FRP.

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Abbreviations

a :

Confinement performance parameter (related to Eq. 3)

A con :

Confined portion of masonry cross section

A g :

Gross area of masonry cross section

A unc :

Unconfined portion of masonry cross section

b :

Side dimension of masonry cross section

c :

Cohesion of masonry

d :

Side dimension of masonry cross section

E f :

Young modulus of FRP

f 1 :

Lateral pressure

f 1,eff :

“Effective” lateral pressure

f br :

Compressive strength of brick

f cm :

Average strength of confined masonry

f fu :

Ultimate axial stress in the FRP (flat coupon)

f mcd :

Strength of confined masonry

f md :

Compressive strength of plain masonry

f mo :

Compressive strength of mortar

f t :

Tensile strength of plain masonry

g :

Confinement performance parameter (related to Eq. 3)

k′:

Confinement performance parameter (related to Eq. 1)

k eff :

Shape factor, effective pressure parameter

N cc :

Axial capacity of confined member

R :

Radius of confined member and FRP jacket

r c :

Radius of corner rounding

t f :

Thickness of FRP

α :

EC6 coefficient to assess composite masonry

β :

Efficiency factor for FRP

γm :

Mass density of masonry

δ :

EC6 coefficient to assess composite masonry

ε f :

Effective strain in the FRP

ε fu :

Ultimate axial strain in the FRP (flat coupon)

σ 1 :

Axial stress in masonry

σ 3 :

Lateral pressure in masonry

Φ :

Friction angle of masonry

χ :

EC6 coefficient to assess composite masonry

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Acknowledgments

The analyses were developed within the activities of Rete dei Laboratori Universitari di Ingegneria Sismica—ReLUIS for the research program funded by the Dipartimento di Protezione Civile—Progetto Esecutivo 2010–2013.

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Authors and Affiliations

  1. Department of Structures for Engineering and Architecture, University of Naples “Federico II”, Via Claudio 21, 80125, Naples, Italy

    Gian Piero Lignola & Andrea Prota

  2. CETMA, Diagnostic and Civil Engineering Area, S.S.7 Appia km 706+030, 72100, Brindisi, Italy

    Riccardo Angiuli

  3. Department of Engineering for Innovation, University of Salento, Via per Monteroni, 73100, Lecce, Italy

    Maria Antonietta Aiello

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  1. Gian Piero Lignola
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  2. Riccardo Angiuli
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Correspondence to Gian Piero Lignola.

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Lignola, G.P., Angiuli, R., Prota, A. et al. FRP confinement of masonry: analytical modeling. Mater Struct 47, 2101–2115 (2014). https://doi.org/10.1617/s11527-014-0323-6

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