Experimental application and enhancement of the XFEM-GA algorithm for the detection of flaws in structures

Computers and Structures

Volumn 89, Issue 7-8, 2011, Pages 556-570

  Chatzi, Eleni N ^a   Hiriyur, Badri ^b   Waisman, Haim ^b   Smyth, Andrew W ^b  

^a ETH ZURICH   (Switzerland)

^b Department of Earth and Environmental Sciences   (United States)

Author keywords

Extended finite element method; Flaws; Genetic algorithms; Inverse problem; Non destructive techniques; Structural health monitoring

Indexed keywords

ARBITRARY CRACK; BENCH-MARK PROBLEMS; ELLIPTICAL HOLES; EXPERIMENTAL APPLICATION; EXPERIMENTAL VERIFICATION; EXTENDED FINITE ELEMENT METHOD; EXTENDED FINITE ELEMENTS; FLAWS; FORWARD PROBLEM; GA ALGORITHM; LOCAL OPTIMA; NON-DESTRUCTIVE TECHNIQUE; NOVEL GENETIC ALGORITHM; OPTIMIZATION SCHEME; SENSOR MEASUREMENTS; STRUCTURAL HEALTH;

CRACK DETECTION; ELASTIC MODULI; FINITE ELEMENT METHOD; GENETIC ALGORITHMS; INVERSE PROBLEMS; MONITORING; OPTIMIZATION; STRUCTURAL HEALTH MONITORING;

CONVERGENCE OF NUMERICAL METHODS;

EID: 79952280482     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2010.12.014     Document Type: Article

References (48)

1. P. Cawley, and R. Adams Location of defects in structures from measurements of natural frequencies J Strain Anal Eng Des 14 2 1979 49 57 cited By (since 1996): 377 (Pubitemid 9470243)
2. P. Chang, and S. Liu Recent research in nondestructive evaluation of civil infrastructures J Mater Civil Eng 15 3 2003 298 304 (Pubitemid 36726807)
3. V. Giurgiutiu, A. Reynolds, and C. Rogers Experimental investigation of e/m impedance health monitoring for spot-welded structural joints J Intell Mater Syst Struct 10 10 1999 802 812
4. W.M. Ostachowicz Damage detection of structures using spectral finite element method Comput Struct 86 3-5 2008 454 462 (Pubitemid 351221119)
5. V. Giurgiutiu, and A. Zagrai Damage detection in thin plates and aerospace structures with the electro-mechanical impedance method Struct Health Monitor 4 2 2005 99 118 (Pubitemid 44251471)
6. S. Park, C. Yun, Y. Roh, and J. Lee Health monitoring of steel structures using impedance of thickness modes at pzt patches Smart Struct Syst 1 4 2005 339 353
7. L. Borcea Electrical impedance tomography Inverse Problems 18 2002 r99 r136
8. Chaudhry Z, Lalande F, Ganino A, Rogers C. Monitoring the integrity of composite patch structural repair via piezoelectric actuators/sensors. In: Proceedings of the AIAA/ASME/AHS/ASC 36th SDM conference, vol. 4; 1995. p. 2243-48.
9. G. Park, H. Sohn, C. Farrar, and D. Inman Overview of piezoelectric impedance-based health monitoring and path forward Shock Vib Dig 35 6 2003 451 463
10. M. Gadala, and A. McCullough On the finite element analysis of inverse problems in fracture mechanics Eng Comput 16 4 1999 481 502
11. D. Rabinovich, D. Givoli, and S. Vigdergauz XFEM-based crack detection scheme using a genetic algorithm Int J Numer Methods Eng 71 9 2007 1051 1080 (Pubitemid 47337658)
12. N. Moës, J. Dolbow, and T. Belytschko A finite element method for crack growth without remeshing Int J Numer Methods Eng 46 1999 131 150 (Pubitemid 30508928)
13. T. Belytschko, and T. Black Elastic crack growth in finite elements with minimal remeshing Int J Numer Methods Eng 45 1999 601 620
14. N. Sukumar, D.L. Chopp, N. Moës, and T. Belytschko Modeling holes and inclusions by level sets in the extended finite element method Comput Methods Appl Mech Eng 190 46-47 2000 6183 6200
15. C. Daux, N. Moës, J. Dolbow, N. Sukumar, and T. Belytschko Arbitrary branched and intersecting cracks with the extended finite element method Int J Numer Methods Eng 48 12 2000 1741 1760
16. N. Sukumar, N. Moës, B. Moran, and T. Belytschko Extended finite element method for three-dimensional crack modelling Int J Numer Methods Eng 48 2000 1549 1570 (Pubitemid 30617347)
17. J. Dolbow, N. Moës, and T. Belytschko Modeling fracture in Mindlin-Reissner plates with the extended finite element method Int J Solids Struct 37 2000 7161 7183
18. C.A. Duarte, L.G. Reno, and A. Simone A high-order generalized FEM for through-the-thickness branched cracks Int J Numer Methods Eng 72 3 2007 325 351 (Pubitemid 47559591)
19. Belytschko T, Gracie R, Ventura G. A review of extended/generalized finite element methods for material modeling. Model Simul Mater Sci Eng;17(4). doi:10.1088/0965-0393/17/4/043001. .
20. T.P. Fries, and T. Belytschko The extended/generalized finite element method: an overview of the method and its applications Int J Numer Methods Eng 84 3 2010 253 304
21. J.H. Holland Adaptation in natural and artificial systems 1992 MIT Press Cambridge, MA, USA
22. Munakata T, Hashier D. A genetic algorithm applied to the maximum flow problem. In: Proceedings of the fifth international conference on genetic algorithms; 1993. p. 488-93.
23. D. Rabinovich, D. Givoli, and S. Vigdergauz Crack identification by arrival time using XFEM and a genetic algorithm Int J Numer Methods Eng 77 3 2009 337 359
24. Chatzi EN, Koumousis VK. Optimal inelastic design of multistorey reinforced concrete buildings towards uniform distribution of minimal damage. In: International conference on structural engineering dynamics, Ericeira, Portugal; June 2009.
25. S.P. Triantafillou, and V.K. Koumousis Form finding and structural optimization of tension structures using multi-objective genetic algorithms B.H.V. Topping, M. Papadrakakis, Proceedings of the ninth international conference on computational structures technology 2008 Civil-Comp Press Stirlingshire, UK 10.4203/ccp.88.271 Paper 271
26. Booker L, Goldberg D, Holland J. Classifier systems and genetic algorithms. Tech. rep., Technical report, No. 8, University of Michigan; 1987.
27. H. Waisman, and T. Belytschko Parametric enrichment adaptivity by the extended finite element method Int J Numer Methods Eng 73 2008 1671 1692 (Pubitemid 351454759)
28. E. Chahine, P. Laborde, and Y.A. Renard Spider-XFEM, an extended finite element variant for partially unknown crack-tip displacement Eur J Comput Mech 15 5-7 2008 625 636
29. E. Chahine, P. Laborde, and Y. Renard A reduced basis enrichment for the extended finite element method Math Model Nat Phenom 4 1 2009 88 105
30. A. Menk, and S. Bordas Numerically determined enrichment functions for the extended finite element method and applications to bi-material anisotropic fracture and polycrystals Int J Numer Methods Eng 83 7 2010 805 828
31. H. Waisman, E. Chatzi, and A.W. Smyth Detection and quantification of flaws in structures by the extended finite element method and genetic algorithms Int J Numer Methods Eng 82 2010 303 328
32. V.T. Grinchenko, and A.F. Ulitko An exact solution of the Kirsch problem Int Appl Mech 6 1970 455 461 10.1007/BF00901835
33. D. Whitley A genetic algorithm tutorial Stat Comput 4 1994 6585
34. B.L. Miller, B.L. Miller, and D.E. Goldberg Genetic algorithms, tournament selection, and the effects of noise Complex Syst 9 1995 193 212 (Pubitemid 126070710)
35. Goldberg DE. Sizing populations for serial and parallel genetic algorithms, In: Proceedings of the 3rd International conference on genetic algorithms, Morgan Kaufman; 1989. p. 70-9.
36. M. Mitchell An introduction to genetic algorithms 1998 MIT Press Cambridge, MA
37. T. Back, D.B. Fogel, and Z. Michalewicz Handbook of evolutionary computation 1997 IOP Publishing Ltd Bristol, UK
38. Krishnakumar K. Micro-genetic algorithms for stationary and non-stationary function optimization. In: SPIE proceedings: intelligent control and adaptive systems.
39. V.K. Koumousis, and C.P. Katsaras A saw-tooth genetic algorithm combining the effects of variable population size and reinitialization to enhance performance IEEE Trans Evol Comput 10 1 2006 19 28 (Pubitemid 43174982)
40. J.-L. Liu, and C.-M. Chen Improved intelligent genetic algorithm applied to long-endurance airfoil optimization design Eng Optim 41 2009 137 154
41. Kennedy J, Eberhart RC. Particle swarm optimization. In: Proceedings of IEEE international conference on neural networks, Piscataway, NJ; 1995. p. 1942-8.
42. M. Clerc Discrete particle swarm optimization New optimization techniques in engineering 2004 Springer-Verlag
43. A.E. Eiben, T. Bäck, and strategies Empirical investigation of multi-parent recombination operators in evolution J Evol Comput 5 3 1997 347 365 (Pubitemid 127718108)
44. D. Ortiz-boyer, C. Hervs-martfnez, and N. Garcfa-pedrajas Cixl2 - a crossover operator for evolutionary algorithms based on population features J Artif Intell Res 24 2005 2005
45. Goldberg DE, Richardson J. Genetic algorithms with sharing for multimodal function optimization. In: Proceedings of the second international conference on genetic algorithms on genetic algorithms and their application.
46. M. Duflot, and S. Bordas A posteriori error estimation for extended finite elements by an extended global recovery Int J Numer Methods Eng 76 2008 1123 1138
47. Fries T-P, Byfut A, Alizada A, Cheng KW, Schröder A. Hanging nodes and XFEM. Int J Numer Methods Eng. in press. doi:10.1002/nme.3024.
48. G. Bugeda, J.J. Ródenas, and E. Oñate An integration of a low cost adaptive remeshing strategy in the solution of structural shape optimization problems using evolutionary methods Comput Struct 86 13-14 2008 1563 1578 (Pubitemid 351609090)