An improved adhesively bonded bi-material beam model for plated beams

Qiao, Pizhong; Chen, Fangliang

doi:10.1016/j.engstruct.2007.12.017

Cited by 39 publications

(20 citation statements)

References 16 publications

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“…A large number of studies in the literature have been carried out to predict the plate end debonding failure mode, and good estimation and solutions of the debonding process were obtained (Abdelouahed, 2006;Malek and Saadatmanesh, 1998;Qiao and Chen, 2008; Rasheed and Pervaiz, 2002;Smith and Teng, 2001;Tounsi et al, 2009). For the IC debonding, one or more significant cracks may exist in the concrete along the bonded interface.…”

Section: Introductionmentioning

confidence: 99%

Debonding analysis of FRP–concrete interface between two balanced adjacent flexural cracks in plated beams

Chen

Qiao

2009

International Journal of Solids and Structures

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a b s t r a c tA cohesive interface modeling approach to debonding analysis of adhesively bonded interface between two balanced adjacent flexural cracks in conventional material (e.g., concrete or wood) beams strengthened with externally bonded FRP plates is presented. Both the strengthened beam and strengthening FRP are modeled as two linearly elastic Euler-Bernoulli beams bonded together through a thin adhesive layer. A bi-linear cohesive model, which is commonly used in the literature, is adopted to characterize the stress-deformation relationship of the FRP-concrete interface. Completely different from the single-lap or double-shear pull models in which only the axial pull force is considered, the present model takes the couple moment and transverse shear forces in both the substrates into account to study the second type of intermediate crack-induced debonding (IC debonding) along the interface. The whole debonding process of the FRP-concrete interface is discussed in detail, and closed-form solutions of bond slip, interface shear stress, and axial force of FRP in different stages are obtained. A rotational spring model is introduced at locations of the two adjacent flexural cracks to model the local flexibility of the cracked concrete beam, with which the relationship between the local bond slip and externally applied load is established and the real bond failure process of the FRP-plated concrete beam with the increasing of the externally applied load is revealed. Parametric studies are further conducted to investigate the effect of the thickness of adhesive layer on the bond behavior of FRP-concrete interface. The present closed-form solution and analysis on the local bond slip versus applied load relationship for the second type of IC debonding along the interface shed light on the bond failure process of structures externally strengthened with FRP composite plates and can be used effectively and efficiently to predict ductility and ultimate load of FRPstrengthened structures.

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Section: Introductionmentioning

confidence: 99%

Debonding analysis of FRP–concrete interface between two balanced adjacent flexural cracks in plated beams

Chen

Qiao

2009

International Journal of Solids and Structures

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“…Due to the occurrence of dissimilar materials and the abrupt change of the cross section, stresses at plate ends become singular and the prediction is considerably complicated. Extensive experimental [5][6][7] and analytical analyses [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] have been undertaken to investigate interfacial stresses for plated beams.…”

Section: Introductionmentioning

confidence: 99%

“…Analytical solutions, particularly, of the closed form, are desirable in engineering practice. Most analytical work is based on the assumption that shear and transverse normal stresses are uniform across the thickness of the adhesive layer [8][9][10][11][12][13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

An improved closed-form solution to interfacial stresses in plated beams using a two-stage approach

Yang

2010

International Journal of Mechanical Sciences

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The shear stress and the normal stresses in the thickness direction at interfaces (referred as interfacial shear and transverse normal stresses hereafter) have played a significant role in understanding the premature debonding failure of beams strengthened by bonding steel/composite plates at their tension surfaces. Due to the occurrence of dissimilar materials and the abrupt change of the cross section, the stress distribution at plate ends becomes singular and hence is considerably complicated. Extensive experimental and analytical analyses have been undertaken to investigate this problem. Large discrepancies have been found from various studies, particularly from experimental results due to the well-acknowledged difficulty in measuring interfacial stresses. Numerical analyses, e.g.2-D or 3-D finite element analysis (FEA), may predict accurate results, but they demand laborious work on meshing and sensitivity analysis. Analytical solutions, in particular those in a closed form, are more desirable by engineering practitioners, as they can be readily incorporated into design equations. This paper reports an improved closed-form solution to interfacial stresses in plated beams using a two-stage approach. In this solution, beams and bonded plates can be further divided into a number of sub-layers to facilitate the inclusion of steel bars or multiple laminae. Thermal effects may also be considered by using equivalent mechanical loads, i.e. equivalent axial loads and end 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2 cast iron beams bonded with steel or FRP plates under mechanical and/or thermal loads.The effect of including the steel reinforcement with various ratios in the RC beam on the interfacial stresses is also investigated. Compared with previously published analytical results, this one improves the accuracy of predicting the transverse normal stresses in both adhesive-beam and plate-adhesive interfaces and the solution is in a closed form.

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“…Comparisons of the normalized ERR and CED and their electric and mechanical components for the rigid and deformable interfaces (Qiao and Chen 2008;Qiao and Wang 2005) under a constant mechanical force density of p = 25 KN/m 2 and varying applied electric fields are shown in Figs. 9 and 10.…”

Section: Comparative Studymentioning

confidence: 99%

Interface crack between two interface deformable piezoelectric layers

Qiao

Chen

2009

Int J Fract

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Based on an interface deformable piezoelectric bi-layer beam model, a bonded piezoelectric bi-material beam with an interface crack perpendicular to the poling axis is analyzed within the framework of the theory of linear piezoelectricity. The layer-wise approximations of both the elastic displacements and electric potential are employed, and each sub-layer is modeled as a single linearly elastic Timoshenko beam perfectly bonded together through a deformable interface. Using the impermeable crack assumption, the closed form solutions for the energy release rate (ERR) and crack energy density (CED) are derived for the layered piezoelectric beam subjected to combined uniformly distributed electromechanical loading. Based on superposition principle, both the ERR and CED and their components are all reduced to the functions of the crack tip loading parameters. Loading dependence of the total CED with respect to the applied electric field is manifested with the analytical results, showing that there is a transformation from an even dependence to an odd dependence for the normalized CED when the applied mechanical loading increases. Compared with

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An improved adhesively bonded bi-material beam model for plated beams

Cited by 39 publications

References 16 publications

Debonding analysis of FRP–concrete interface between two balanced adjacent flexural cracks in plated beams

Debonding analysis of FRP–concrete interface between two balanced adjacent flexural cracks in plated beams

An improved closed-form solution to interfacial stresses in plated beams using a two-stage approach

Interface crack between two interface deformable piezoelectric layers

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