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Optimal Design of Composite Patch for a Cracked Pipe by Utilizing Genetic Algorithm and Finite Element Method

Authors: Mahdi Fakoor, Seyed Mohammad Navid Ghoreishi


Composite patching is a common way for reinforcing the cracked pipes and cylinders. The effects of composite patch reinforcement on fracture parameters of a cracked pipe depend on a variety of parameters such as number of layers, angle, thickness, and material of each layer. Therefore, stacking sequence optimization of composite patch becomes crucial for the applications of cracked pipes. In this study, in order to obtain the optimal stacking sequence for a composite patch that has minimum weight and maximum resistance in propagation of cracks, a coupled Multi-Objective Genetic Algorithm (MOGA) and Finite Element Method (FEM) process is proposed. This optimization process has done for longitudinal and transverse semi-elliptical cracks and optimal stacking sequences and Pareto’s front for each kind of cracks are presented. The proposed algorithm is validated against collected results from the existing literature.

Keywords: multi objective optimization, pareto front, composite patch, cracked pipe

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[1] A. Baker, R. Callinan, M. Davis, R. Jones, and J. Williams, "Repair of Mirage III aircraft using the BFRP crack-patching technique," Theoretical and Applied Fracture Mechanics, vol. 2, pp. 1-15, 1984.
[2] R. Jones and R. Callinan, "Finite element analysis of patched cracks," Journal of Structural Mechanics, vol. 7, pp. 107-130, 1979.
[3] Bachir BB, Belhouari M, Serier BC. Computation of the stress intensity factors for patched cracks with bonded composite repairs in mode I and mixed mode. Compos Struct 2002;56:401–6.
[4] Ayatollahi MR, Hashemi R. Computation of stress intensity factors (KI, KII) and T-stress for cracks reinforced by composite patching. Compos Struct, in press, doi:10.1016/j.compstruct.2005. 11.024.
[5] Adali S, Verijenko V. Optimum stacking sequence design of symmetric hybrid laminates undergoing free vibrations. Composite structures. 2001;54:131-8.
[6] Chakraborty D, Dutta A. Optimization of FRP composites against impact induced failure using island model parallel genetic algorithm. Composites Science and Technology. 2005;65:2003-13.
[7] Todoroki A, Ishikawa T. Design of experiments for stacking sequence optimizations with genetic algorithm using response surface approximation. Composite structures. 2004;64:349-57.
[8] X. Lin, R. Smith, Fatigue growth prediction of internal surface cracks in pressure vessels, Journal of pressure vessel technology, Vol. 120, No. 1, pp. 17-23, 1998.
[9] J. F. Knott, Fundamentals of fracture mechanics: Gruppo Italiano Frattura, 1973.
[10] Hellen TK. On the method of virtual crack extensions. Int J Numer Meth Engng 1975;9(1):187–207.
[11] Miyazaki N, Ikeda T, Soda T, Munakata T. Stress intensity factor analysis of interface crack using boundary element method—application of contour integral method. Engng Fract Mech 1993;45(5):599–610.
[12] T. L. Anderson, Fracture mechanics: fundamentals and applications: CRC press, 2005.
[13] Pelegri AA, Kedlaya DN. Design of composites using a generic unit cell model coupled with a hybrid genetic algorithm. Composites Part A: Applied Science and Manufacturing. 2008;39:1433-43.
[14] Legrand X, Kelly D, Crosky A, Crépin D. Optimisation of fibre steering in composite laminates using a genetic algorithm. Composite structures. 2006;75:524-31.
[15] Perera R, Vique J, Arteaga A, De Diego A. Shear capacity of reinforced concrete members strengthened in shear with FRP by using strut-and-tie models and genetic algorithms. Composites Part B: Engineering. 2009;40:714-26.
[16] S. Shi, Z. Sun, M. Ren, H. Chen, and X. Hu, "Buckling resistance of grid-stiffened carbon-fiber thin-shell structures," Composites Part B: Engineering, vol. 45, pp. 888-896, 2013.