In this work, a topology optimization algorithm is developed and implemented to get an optimum composite patch shape. Typically, the design process consists of an iterative analysis, where the best solution is obtained from a comparative study. In this way, we propose a topology optimization algorithm applied to obtain the optimum composite patch shape. The algorithm is implemented in MatLab, and uses the commercial finite element code Abaqus/Standard. A numerical example is analysed to show the capability of the proposed method. The obtained results are compared with numerical results reported by other researchers, revealing the potential of the developed algorithm.
BakerA. Repair of cracked or defective metallic aircraft components with advanced fibre composites: an overview of Australian work. Compos Struct1984; 2: 153–181.
KumarAMHakeemS. Optimum design of symmetric composite patch repair to centre cracked metallic sheet. Compos Struct2000; 49: 285–292.
4.
RachidMSerierBBouiadjraBBet al.Numerical analysis of the patch shape effects on the performances of bonded composite repair in aircraft structures. Compos Part B Eng2012; 43: 391–397.
5.
BouiadjraBBBouananiMFAlbedahAet al.Comparison between rectangular and trapezoidal bonded composite repairs in aircraft structures: a numerical analysis. Mater Des2011; 32: 3161–3166.
6.
RamjiMSrilakshmiRPrakashMB. Towards optimization of patch shape on the performance of bonded composite repair using {FEM}. Compos Part B Eng2013; 45: 710–720.
7.
Iváñez I and Braun M. Numerical analysis of surface cracks repaired with single and double patches of composites. J Compos Mater. DOI: 20170021998317722044.
8.
SoutisCHuF. Design and performance of bonded patch repairs of composite structures. Proc Inst Mech Eng G J Aerospace Eng1997; 211: 263–271.
9.
Gong XJ, Cheng P, Rousseau J and Aivazzadeh S. Effect of local stresses on static strength and fatigue life of patched composite panels. In: 16th International conference on composite materials. Kyoto, Japan; 8–13 July 2007.
10.
CampilhoRDSGDe MouraMRamantaniDet al.Tensile behaviour of three-dimensional carbon-epoxy adhesively bonded single-and double-strap repairs. Int J Adhes Adhes2009; 29: 678–686.
KashfuddojaMRamjiM. Whole-field strain analysis and damage assessment of adhesively bonded patch repair of CFRP laminates using 3d-DIC and FEA. Compos Part B Eng2013; 53: 46–61.
14.
KashfuddojaMRamjiM. Design of optimum patch shape and size for bonded repair on damaged carbon fibre reinforced polymer panels. Mater Des2014; 54: 174–183.
15.
CamineroMLopez-PedrosaMPinnaCet al.Damage monitoring and analysis of composite laminates with an open hole and adhesively bonded repairs using digital image correlation. Compos Part B Eng2013; 53: 76–91.
16.
QingXPBeardSJKumarAet al.A real-time active smart patch system for monitoring the integrity of bonded repair on an aircraft structure. Smart Mater Struct2006; 15: N66–N66.
17.
OuinasDBouiadjraBBSerierB. The effects of disbonds on the stress intensity factor of aluminium panels repaired using composite materials. Compos Struct2007; 78: 278–284.
18.
OuinasDBouiadjraBBAchourTet al.Influence of disbond on notch crack behaviour in single bonded lap joints. Mater Des2010; 31: 4356–4362.
19.
BouiadjraBBOudadWAlbedahAet al.Effects of the adhesive disband on the performances of bonded composite repairs in aircraft structures. Mater Des2012; 37: 89–95.
20.
BouiadjraBBOuinasDSerierBet al.Disbond effects on bonded boron/epoxy composite repair to aluminium plates. Comput Mater Sci2008; 42: 220–227.
21.
MathiasJDBalandraudXGrediacM. Applying a genetic algorithm to the optimization of composite patches. Comput Struct2006; 84: 823–834.
22.
KogisoNWatsonLTGürdalZet al.Genetic algorithms with local improvement for composite laminate design. Struct Multidiscipl Optim1994; 7: 207–218.
23.
KogisoNWatsonLTGürdalZHaftkaRTet al.Design of composite laminates by a genetic algorithm with memory. Mech Compos Mater Struct1994; 1: 95–117.
24.
Le RicheRHaftkaR. Improved genetic algorithm for minimum thickness composite laminate design. Compos Eng1995; 5: 143–161.
25.
TodorokiAHaftkaRT. Stacking sequence optimization by a genetic algorithm with a new recessive gene like repair strategy. Compos Part B Eng1998; 29: 277–285.
26.
LinCYHajelaP. Genetic algorithms in optimization problems with discrete and integer design variables. Eng Optimiz1992; 19: 309–327.
27.
BrighentiR. Patch repair design optimisation for fracture and fatigue improvements of cracked plates. Int J Solids Struct2007; 44: 1115–1131.
28.
ErrouaneHSereirZChateauneufA. Numerical model for optimal design of composite patch repair of cracked aluminum plates under tension. Int J Adhes Adhes2014; 49: 64–72.
29.
EschenauerHAOlhoffN. Topology optimization of continuum structures: a review. Appl Mech Rev2001; 54: 331–390.
30.
BendsoeMPKikuchiN. Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng1988; 71: 197–224.
31.
BendsoeMPSigmundO. Topology optimization: theory, methods, and applications, London: Springer Science & Business Media, 2013.
32.
Xie Y and Steven G. Evolutionary structural optimization. London: Springer, 1997.
33.
HuangXXieY. Evolutionary topology optimization of continuum structures including design-dependent self-weight loads. Finite Elem Anal Des2011; 47: 942–948.
34.
ABAQUS/Standard. Abaqus standard v6.13 user’s manual. Version 6.13th ed. Richmond: ABAQUS Inc., 2013.
35.
software A (2009) User’s documentation. Version 12.1 ed. PA: ANSYS, Inc., 2009.
36.
Ansys (2009) User’s documentation. Version 12.1 ed. Canonsburg, PA: ANSYS, Inc.
37.
Agarwal BD, Broutman LJ and Chandrashekhara K. Analysis and performance of fiber composites. New York: John Wiley & Sons, 2006.
38.
RamjiMSrilakshmiR. Design of composite patch reinforcement applied to mixed-mode cracked panel using finite element analysis. J Reinf Plast Compos2012; 31: 585–595.
39.
BenyahiaFAminallahLAlbedahAet al.Experimental and numerical analysis of bonded composite patch repair in aluminum alloy 7075 T6. Mater Des2015; 73: 67–73.
