Dynamic Geometrically Nonlinear Behavior of FRP-Strengthened Walls with Debonded Regions
Publication: Journal of Engineering Mechanics
Volume 141, Issue 1
Abstract
This paper studies the dynamic geometrically nonlinear behavior of walls that are strengthened with fiber-reinforced polymer (FRP) composite materials but include preexisting debonded regions. For that purpose, two specially tailored finite elements corresponding to the perfectly bonded regions and debonded regions within the layered wall are formulated under the umbrella of a dynamic analysis. The two finite elements are based on a high-order multilayered plate theory. The geometrical nonlinearity is introduced by means of the Von Karman nonlinear strains. The convergence and validity of the geometrically nonlinear dynamic model are studied for the case of a locally debonded FRP-strengthened wall under in-plane shear loads applied at a constant rate. The unified model of the strengthened wall with a local delamination is then used for studying the dynamic nonlinear behavior under different levels of shear loading rate. The dynamic results and the comparison with static analyses reveal the impact of the geometrical nonlinearity on the dynamic behavior of the debonded composite layer and the evolution of interfacial stresses at its perimeter. At the same time, they reveal the impact of the dynamic effects on the geometrical nonlinearity and critical points it involves.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This research was supported by the Israel Science Foundation (Grant No. 1121/13).
References
Carloni, C., and Subramaniam, K. V. (2012). “FRP-masonry debonding: Numerical and experimental study of the role of mortar joints.” J. Compos. Constr., 581–589.
Elgawady, M. A., Lestuzzi, P., and Badoux, M. (2002). “Dynamic in-plane behavior of URM wall upgraded with composites.” Proc., 3rd Int. Conf. on Composites in Infrastructure ICCI (CD-ROM), Dept. of Civil Engineering and Engineering Mechanics, Univ. of Arizona, Tucson, AZ.
Elgawady, M. A., Lestuzzi, P., and Badoux, M. (2003). “In-plane lateral behavior of URM walls upgraded with composites.” Proc., XL-2003 Conf., Response of Structures to Extreme Loading, (CD-ROM), Elsevier, Waltham, MA.
Elmalich, D., and Rabinovitch, O. (2012a). “Dynamic analysis of walls strengthened with composite materials.” Compos. Struct., 94(7), 2157–2173.
Elmalich, D., and Rabinovitch, O. (2012b). “In-plane dynamic excitation of AAC masonry walls patched with FRP: Dynamic testing and analysis.” J. Mech. Mater. Struct., 7(7), 657–686.
Elmalich, D., and Rabinovitch, O. (2012c). “Localized effects in walls strengthened with externally bonded composite materials.” J. Eng. Mech., 1112–1126.
Elmalich, D., and Rabinovitch, O. (2013). “Geometrically nonlinear behavior of sandwich plates.” AIAA J., 51(8), 1993–2008.
Elmalich, D., and Rabinovitch, O. (2014). “FRP strengthened walls with delaminated regions—Geometrically nonlinear resposne.” Int. J. Solids Struct., 51(1), 179–195.
Fedele, R., and Milani, G. (2010). “A numerical insight into the response of masonry reinforced by FRP strips. The case of perfect adhesion.” Compos. Struct., 92(10), 2345–2357.
Fedele, R., and Milani, G. (2011). “Three-dimensional effects induced by FRP-from-masonry delamination.” Compos. Struct., 93(7), 1819–1831.
Frostig, Y., and Thomsen, O. T. (2004). “High-order free vibration of sandwich panels with a flexible core.” Int. J. Solids Struct., 41(5–6), 1697–1724.
Ghorbani, H. R., and Spelt, J. K. (2005). “Interfacial thermal stresses in trilayer assemblies.” J. Electron. Packag., 127(3), 314–323.
Hamed, E., and Rabinovitch, O. (2007). “Geometrically nonlinear effects in the flexural response of masonry walls strengthened with composite materials.” J. Mech. Mater. Struct., 2(5), 829–855.
Hamed, E., and Rabinovitch, O. (2010). “Failure characteristics of FRP-strengthened masonry walls under out-of-plane loads.” Eng. Struct., 32(8), 2134–2145.
Jiang, Z. Q., Huang, Y., and Chandra, A. (1997). “Thermal stresses in layered electronic assemblies.” J. Electron. Packag., 119(2), 127–132.
Kiss, R. M., Kollar, L. P., Jai, J., and Krawinkler, H. (2002). “Masonry strengthened with FRP subjected to combined bending and compression, Part II: Test results and model prediction.” J. Compos. Mater., 36(9), 1049–1063.
Kuzik, M. D., Elwi, A. E., and Cheng, J. J. R. (2003). “Cyclic flexure tests of masonry walls reinforced with glass fiber reinforced polymer sheets.” J. Compos. Constr., 20–30.
Linke, M., Wohlers, W., and Reimerdes, H. G. (2007). “Finite element analysis for static and stability analysis of sandwich plates.” J. Sandwich Struct. Mater., 9(2), 123–142.
Mahdi, S., and Gillespie, J. W. (2004). “Finite element analysis of tile-reinforced composite structural armor subjected to bending loads.” Compos., Part B Eng., 35(1), 57–71.
Milani, G. (2009). “Homogenized limit analysis of FRP-reinforced masonry walls out-of-plane loaded.” Comput. Mech., 43(5), 617–639.
Milani, G. (2011). “Kinematic FE limit analysis homogenization model for masonry walls reinforced with continuous FRP grids.” Int. J. Solids Struct., 48(2), 326–345.
Milani, G., and Lourenço, P. B. (2013a). “Simple homogenized model for the nonlinear analysis of FRP-strengthened masonry structures. I: Theory.” J. Eng. Mech., 59–76.
Milani, G., and Lourenço, P. B. (2013b). “Simple homogenized model for the nonlinear analysis of FRP-strengthened masonry structures. II: Structural applications.” J. Eng. Mech., 77–93.
Milani, G., Milani, E., and Tralli, A. (2010). “Approximate limit analysis of full scale FRP-reinforced masonry buildings through a 3D homogenized FE package.” Compos. Struct., 92(4), 918–935.
Milani, G., Pizzolato, M., and Tralli, A. (2013). “Simple numerical model with second order effects for out-of-plane loaded masonry walls.” Eng. Struct., 48, 98–120.
Newmark, N. M. (1959). “A method of computation for structural dynamics.” J. Engrg. Mech. Div., 85(3), 67–94.
Oda, J., and Sakamoto, J. (1998). “Applications of FEM for multiple laminated structure in electronic packaging.” Finite Elem. Anal. Des., 30(1–2), 147–162.
Pai, P. F., and Palazotto, A. N. (2001). “A higher-order sandwich plate theory accounting for 3-D stresses.” Int. J. Solids Struct., 38(30–31), 5045–5062.
Pao, Y. H., and Eisele, E. (1991). “Interfacial shear and peel stresses in multilayered thin stacks subjected to uniform thermal loading.” J. Electron. Packag., 113(2), 164–172.
Rabinovitch, O. (2010). “Buckling-driven debonding in stiff block: Compliant joint structural assemblies patched with composite materials.” Int. J. Fract., 165(1), 21–38.
Rabinovitch, O. (2012). “Dynamic debonding in concrete beams strengthened with composite materials.” Int. J. Solids Struct., 49(26), 3641–3658.
Rabinovitch, O. (2014). “An extended high order cohesive interface approach to the debonding analysis of FRP strengthened beams.” Int. J. Mech. Sci., 81, 1–16.
Rabinovich, O., and Frostig, Y. (2000). “Closed-form high-order analysis of RC beams strengthened with FRP strips.” J. Compos. Constr., 65–74.
Reddy, J. N. (1997). “On locking-free shear deformable beam finite elements.” Comput. Methods Appl. Mech. Eng., 149(1–4), 113–132.
Suhir, E. (2001). “Predicted thermal stresses in a bimaterial assembly adhesively bonded at the ends.” J. Appl. Phys., 89(1), 120–129.
Vinson, J. R., and Sierakowski, R. L. (1986). The behavior of structures composed of composite materials, Martinus-Nijhoff, Dordrecht, Netherlands.
Wang, J., and Zeng, S. (2008). “Thermal stresses analysis in adhesive/solder bonded bimaterial assemblies.” J. Appl. Phys., 104(11), 113508.
Wen, Y., and Basaran, C. (2003). “Thermomechanical stress analysis of multi-layered electronic packaging.” J. Electron. Packag., 125(1), 134–138.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 141 • Issue 1 • January 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jan 1, 2014
Accepted: Apr 25, 2014
Published online: Jun 11, 2014
Published in print: Jan 1, 2015
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.