تعیین تنش برشی و نرمال در مرز مشترک بتن و ورق FRP به روش بدون المان گالرکین و مقایسه نتایج آن با نرم افزار المان محدود آباکوس

[1] Etman EE, Beeby AW. Experimental programme and analytical study of bond stress distributions on a composite plate bonded to a reinforced concrete beam. Cement and Concrete Composites; vol. 22, no. 4, pp. 281-291, 2000/01/01/ 2000.

[2] Saadatmanesh H, Ehsani MR. RC Beams Strengthened with GFRP Plates. I: Experimental Study.  Journal of Structural Engineering; vol. 117, no. 11, pp. 3417-3433, 1991.

[3] Garden HN, Quantrill RJ, Hollaway LC, Thorne AM, Parke GAR. An experimental study of the anchorage length of carbon fibre composite plates used to strengthen reinforced concrete beams. Construction and Building Materials, vol. 12, no. 4, pp. 203-219, 1998/06/01/ 1998.

[4] Bizindavyi L, Neale KW, Erki MA. Experimental Investigation of Bonded Fiber Reinforced Polymer-Concrete Joints under Cyclic Loading. Journal of Composites for Construction, vol. 7, no. 2, pp. 127-134, 2003.

[5] Aiello MA, Leone M. Interface analysis between FRP EBR system andconcrete. Composites Part B: Engineering, vol. 39, no. 4, pp. 618-626, 2008/06/01/ 2008.

[6] Chen JF, Teng JG. Anchorage Strength Models for FRP and Steel Plates Bonded to Concrete. Journal of Structural Engineering, vol. 127, no. 7, pp. 784-791, 2001.

[7] Mulian G, Rabinovitch O. Experimental and analytical study of the dynamic debonding in FRP plated beams. International Journal of Solids and Structures, vol. 92-93, pp. 121-134, 2016/08/15/ 2016.

[8] Rabinovich O, Frostig Y. Closed-Form High-Order Analysis of RC Beams Strengthened with FRP Strips. Journal of Composites for Construction, vol. 4, no. 2, pp. 65-74, 2000.

[9] Roberts T. Approximate analysis of shear and normal stress concentrations in the adhesive layer of plated RC beam. The Structural Engineer, vol. 67, no. 12, pp. 229-233, 1989.

[10] Vilnay O. The analysis of reinforced concrete beams strengthened by epoxy bonded steel plates. International Journal of Cement Composites and Lightweight Concrete, vol. 10, no. 2, pp. 73-78, 1988/05/01/ 1988.

[11] Edalati M, Irani F. Interfacial stresses in RC beams strengthened by externally bonded FRP/steel plates with effects of shear deformations. Journal of Composites for Construction, vol. 16, no. 1, pp. 60-73, 2012.

[12] Malek AM, Saadatmanesh H, Ehsani MR. Prediction of failure load of R/C beams strengthened with FRP plate due to stress concentration at the plate end. ACI structural Journal, vol. 95, pp. 142-152, 1998.

[13] Shen HS, Teng J, Yang J. Interfacial Stresses in Beams and Slabs Bondedwith Thin Plate. Journal of engineering mechanics, vol. 127, no. 4, pp. 399-406, 2001.

[14] Rafi MM, Nadjai A, Ali F. Analytical modeling of concrete beams reinforced with carbon FRP bars. Journal of Composite Materials, vol. 41, no. 22, pp. 2675-2690, 2007.

[15] Smith ST,  Teng JG. Interfacial stresses in plated beams. Engineering Structures, vol. 23, no. 7, pp. 857-871, 2001/07/01/ 2001.

[16] Deng J, Lee MMK, Moy SSJ. Stress analysis of steel beams reinforced with a bonded CFRP plate. Composite Structures, vol. 65, no. 2, pp. 205-215, 2004/08/01/ 2004.

[17] Stratford T, Cadei J. Elastic analysis of adhesion stresses for the design of a strengthening plate bonded to a beam. Construction and Building Materials, vol. 20, no. 1, pp. 34-45, 2006/02/01/ 2006.

[18] Abdelouahed T. Improved theoretical solution for interfacial stresses in concrete beams strengthened with FRP plate. International Journal of Solids and Structures, vol. 43, no. 14, pp. 4154-4174, 2006/07/01/ 2006.

[19] Tounsi A, Benyoucef  S. Interfacial stresses in externally FRP-plated concrete beams. International Journal of Adhesion and Adhesives, vol. 27, no. 3, pp. 207-215, 2007.

[20] Benachour A, Benyoucef S, Tounsi A, Adda bedia EA. "Interfacial stress analysis of steel beams reinforced with bonded prestressed FRP plate," Engineering Structures, vol. 30, no. 11, pp. 3305-3315, 2008/11/01/ 2008.

[21] Rabahi A, Adim B, Chargui S, Daouadji TH. Interfacial Stresses in FRP-plated RC Beams: Effect of Adherend Shear Deformations. Cham, 2015, pp. 317-326: Springer International Publishing.

[22] Yang J, Ye J. An improved closed-form solution to interfacial stresses in plated beams using a two-stage approach. International Journal of Mechanical Sciences, vol. 52, no. 1, pp. 13-30, 2010/01/01/ 2010.

[23] Faella C, Martinelli E, Nigro E. Formulation and validation of a theoretical model for intermediate debonding in FRP-strengthened RC beams. Composites Part B: Engineering, vol. 39, no. 4, pp. 645-655, 2008.

[24] Kaliakin VN, Chajes MJ, Januszka TF. Analysis of concrete beams reinforced with externally bonded woven composite fabrics. Composites Part B: Engineering, vol. 27, no. 3, pp. 235-244, 1996/01/01/ 1996.

[25] Kachlakev DI, Miller TH, Potisuk T, Yim SC, Chansawat K. Finite element modeling of reinforced concrete structures strengthened with FRP laminates. Oregon. Dept. of Transportation. Research Group2001.

[26] Hamoush SA, Ahmad S. Debonding of steel plate-strengthened concrete beams.  Journal of Structural Engineering, vol. 116, no. 2, pp. 356-371, 1990.

[27] Lee K, Al-Mahaidi R, Taplin G. Non-Linear Finite Element Modelling of Shear-Damaged Concrete T-Beams Repaired with CFRP Laminates. in International Composites Conference (ACUN-2), 2ND, 2000, Sydney, New South Wales, Australia, 2000.

[28] Ngo D, Scordelis A. Finite element analysis of reinforced concrete beams. in Journal Proceedings, 1967, vol. 64, no. 3, pp. 152-163.

[29] Herrmann LR. Finite element analysis of contact problems. Journal of the Engineering Mechanics Division, vol. 104, no. 5, pp. 1043-1057, 1978.

[30] Wong RS, Vecchio FJ. Towards modeling of reinforced concrete members with externally bonded fiber-reinforced polymer composites. ACI Structural Journal, vol. 100, no. 1, pp. 47-55, 2003.

[31] Mohamed OA, Khattab R. Numerical Analysis of Reinforced Concrete Beam Strengthened with CFRP or GFRP Laminates. Key Engineering Materials, vol. 707, pp. 51-59, 2016.

[32] Zhang ZX, Ye LP, Lu XZ. Finite element analysis of shear behaviour of RC beams strengthened with U-shaped FRP sheets. Engineering Mechanics, vol. 4, p. 028, 2005.

[33] Elyasian I, Abdoli N, Rounaghi H. Evaluation of parameters effective in FRP shear strengthening of RC beams using FE method. 2006.

[34] Qu Z, Lu XZ, Ye LP, Chen JF, Rotter JM. Numerical modeling of FRP shear strengthened RC beams using compression field theory. in Proceedings, third international conference on FRP composites in civil engineering (CICE 2006), Miami, Florida, USA, 2006, pp. 391-394: Citeseer.

[35] Godat A, Neale KW, Labossière P. Numerical modeling of FRP shear-strengthened reinforced concrete beams. Journal of Composites for Construction, vol. 11, no. 6, pp. 640-649, 2007.

[36] Hoque MM. 3D nonlinear mixed finite-element analysis of RC beams andplates with and without FRP reinforcement. 2006.

[37] Ingraffea A, Saouma V. Numerical modeling of discrete crack propagation in reinforced and plain concrete. in Fracture mechanics of concrete: structural application and numerical calculation: Springer, 1985, pp. 171-225.

[38] Wang J. Cohesive zone model of intermediate crack-induced debonding of FRP-plated concrete beam. International journal of solids and structures, vol. 43, no. 21, pp. 6630-6648, 2006.

[39] Benvenuti E, Orlando N. Intermediate flexural detachment in FRP-plated concrete beams through a 3D mechanism-based regularized eXtended Finite Element Method. Composites Part B: Engineering, vol. 145, pp. 281-293, 2018.

[40] Benvenuti E, Vitarelli O, Tralli A. Delamination of FRP-reinforced concrete by means of an extended finite element formulation. Composites Part B: Engineering, vol. 43, no. 8, pp. 3258-3269, 2012.

[41] Esna Ashari S, Mohammadi S. Fracture analysis of FRP-reinforced beams by orthotropic XFEM. Journal of composite materials, vol. 46, no. 11, pp. 1367-1389, 2012.

[42] Mohammadi T, Wan B, Harries K. Intermediate crack debonding model of FRP-strengthened concrete beams using XFEM. in SIMULIA Community Conf., Dassault Systèmes, Paris, 2013.

[43] Leung CK. Delamination failure in concrete beams retrofitted with a bonded plate. Journal of Materials in Civil Engineering, vol. 13, no. 2, pp. 106-113, 2001.

[44] Bennegadi M, Hadjazi K, Sereir Z, Amziane S, El Mahi B. General cohesive zone model for prediction of interfacial stresses induced by intermediate flexural crack of FRP-plated RC beams. Engineering Structures, vol. 126, pp. 147-157, 2016.

[45] Hadjazi K, Sereir Z, Amziane S. Cohesive zone model for the predictionof interfacial shear stresses in a composite-plate RC beam with an intermediate flexural crack. Composite structures, vol. 94, no. 12, pp. 3574-3582, 2012.

[46] Lu XZ, Teng JG, Ye LP, Jiang JJ. Bond–slip models for FRP sheets/plates bonded to concrete. Engineering Structures, vol. 27, no. 6, pp. 920-937, 2005/05/01/ 2005.

[47] Biscaia HC, Chastre C, Silva MAG. Linear and nonlinear analysis of bond-slip models for interfaces between FRP composites and concrete. CompositesPart B: Engineering, vol. 45, no. 1, pp. 1554-1568, 2013/02/01/ 2013.

[48] Liu GR. Meshfree methods. moving beyond the finite element method. Taylor & Francis, 2009.

[49] Belytschko T, Lu YY, Gu L. Element‐free Galerkin methods. International journal for numerical methods in engineering, vol. 37, no. 2, pp. 229-256, 1994.

[50] Belytschko T, Krongauz Y, Fleming M, Organ D, Liu WKS. Smoothing and accelerated computations in the element free Galerkin method. Journal of Computational and Applied Mathematics, vol. 74, no. 1-2, pp. 111-126, 1996.