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Analysis-oriented model for concrete and masonry confined with fiber reinforced mortar

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Abstract

Analysis-oriented model (AOM) is a theoretical approach intended to analyze and design systems by applying the notions throughout the organization of a series of equations in one or more iterative cycle. The stress–strain curve of an fiber reinforced polymer (FRP) confined column is evaluated using an incremental procedure, which takes into account the interaction between the confining material and the column itself. Many AOMs have been developed for FRP-confined columns, while the prediction of the behavior of the jacketing with fiber reinforced mortar (FRM) is, currently, still a lack of the literature due to the relative recent development of studies about this new confining composite material. The aim of this paper is to present and discuss a new AOM able to deliver the axial stress–strain law of an axially loaded column made of concrete or masonry and with circular or square cross-section, when FRM-confinement is provided. A step-by-step iteration of the axial strain was adopted considering that the column reacts elastically and the FRM confinement remains un-cracked in each single step. The elastic secant modulus of the column was, thereafter, considered in order to catch its non-linear behavior and a further secant modulus was also computed for modelling the damage evolution of the FRM confinement when increasing the axial load. Finally, a parametric study allowed to check the correct interpretation of the phenomenon. Moreover, the theoretical versus the experimental comparison validated the accuracy of the proposed model.

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Abbreviations

D 0 :

Diameter or the diagonal of the unconfined column for circular and square cross-section respectively (see [1])

E 1 :

Tangent modulus of the phase 1 of the FRM constitutive law according to Fig. 3

E 2 :

Tangent modulus of the phase 2 of the FRM constitutive law according to Fig. 3

E c0 :

Young modulus of the unconfined column

E ccs :

Secant modulus of the FRM-confined column

E f :

Longitudinal elastic modulus of the FRM system

E fs :

Secant modulus of the FRM system

f c0 :

Compressive strength of the unconfined column

f cc :

Compressive strength of the FRM-confined column

f f :

Tensile strength of the jacket

f l :

Confining pressure provided by the FRM system

k :

Step counter of the iterative procedure illustrated in Fig. 2

n :

Number of fiber layers in the jacket

t f :

Thickness of the jacket

t f1 :

Thickness of one layer in the jacket

ε 1 :

Tensile strain of the FRM system corresponding to the first crack development in the matrix

ε 2 :

Tensile strain of the FRM system corresponding to fiber rupture

ε c0 :

Compressive strain related to f c0

ε cc :

Compressive strain related to f cc

ε l :

Lateral strain

ν c0 :

Poisson’s coefficient of the unconfined column

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Acknowledgements

This research was supported by the COST Action TU1207 “Next Generation Design Guidelines for Composites in Construction”. The authors are grateful to the Chair of the Action, Dr. Maurizio Guadagnini, and the whole COST Action Network for the financial support.

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Authors and Affiliations

  1. Department of Innovation Engineering, University of Salento, 73100, Lecce, Italy

    Alessio Cascardi & Maria Antonietta Aiello

  2. Department of Civil Engineering, University of Patras, 265 04, Patras, Greece

    Thanasis Triantafillou

Authors
  1. Alessio Cascardi
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  2. Maria Antonietta Aiello
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  3. Thanasis Triantafillou
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Correspondence to Alessio Cascardi.

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Cascardi, A., Aiello, M.A. & Triantafillou, T. Analysis-oriented model for concrete and masonry confined with fiber reinforced mortar. Mater Struct 50, 202 (2017). https://doi.org/10.1617/s11527-017-1072-0

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