Nondestructive identification of multiple flaws using XFEM and a topologically adapting artificial bee colony algorithm

International Journal for Numerical Methods in Engineering

Volumn 95, Issue 10, 2013, Pages 871-900

  Sun, Hao ^a   Waisman, Haim ^a   Betti, Raimondo ^a  

^a Columbia University ^*  (United States)

Author keywords

Enhanced artificial bee colony (EABC) algorithm, genetic algorithm (GA); Extended finite element method (XFEM); Flaw detection; Inverse problem; Topological variable

Indexed keywords

ARTIFICIAL BEE COLONIES; ARTIFICIAL BEE COLONY ALGORITHMS; EXTENDED FINITE ELEMENT METHOD; FLAW DETECTION; INVERSE IDENTIFICATION; NONDESTRUCTIVE DETECTION; NONDESTRUCTIVE IDENTIFICATION; TOPOLOGICAL VARIABLES;

ADAPTIVE ALGORITHMS; INVERSE PROBLEMS; TOPOLOGY;

GENETIC ALGORITHMS;

EID: 84881542080     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.4529     Document Type: Article

References (43)

1. Giurgiutiu V, Reynolds A, Rogers CA. Experimental investigation of E/M impedance health monitoring for spot-welded structural joints. Journal of Intelligent Material Systems and Structures 1999; 10(10):802-812.
2. Liu GR, Chen SC. Flaw detection in sandwich plates based on time-harmonic response using genetic algorithm. Computer Methods in Applied Mechanics and Engineering 2001; 190(42):5505-5514.
3. Giurgiutiu V, Zagrai A. Damage detection in thin plates and aerospace structures with the electro-mechanical impedance method. Structural Health Monitoring 2005; 4(2):99-118.
4. Nishimura N, Kobayashi S. A boundary integral equation method for an inverse problem related to crack detection. International Journal for Numerical Methods in Engineering 1991; 32(7):1371-1387.
5. Mellings SC, Aliabadi MH. Flaw identification using the boundary element method. International Journal for Numerical Methods in Engineering 1995; 38(3):399-419.
6. Stavroulakis GE, Antes H. Flaw identification in elastomechanics: BEM simulation with local and genetic optimization. Structural and Multidisciplinary Optimization 1998; 16(2):162-175.
7. Marin L. Detection of cavities in Helmholtz-type equations using the boundary element method. Computer Methods in Applied Mechanics and Engineering 2005; 194(36-38):4006-4023.
8. Gallego R, Rus G. Identification of cracks and cavities using the topological sensitivity boundary integral equation. Computational Mechanics 2004; 33(2):154-163.
9. Waisman H, Chatzi E, Smyth AW. Detection and quantification of flaws in structures by the eXtended finite element method and genetic algorithms. International Journal for Numerical Methods in Engineering 2010; 82(3):303-328.
10. Rabinovich D, Givoli D, Vigdergauz S. Crack identification by arrival time using XFEM and a genetic algorithm. International Journal for Numerical Methods in Engineering 2009; 77(3):337-359.
11. Rabinovich D, Givoli D, Vigdergauz S. XFEM-based crack detection scheme using a genetic algorithm. International Journal for Numerical Methods in Engineering 2007; 71(9):1051-1080.
12. Chatzi EN, Hiriyur B, Waisman H, Smyth A. Experimental application and enhancement of the XFEM-GA algorithm for the detection of flaws in structures. Computers & Structures 2011; 89(7-8):556-570.
13. Hellier CJ. Handbook of Nondestructive Evaluation. McGraw-Hill: New York, 2001.
14. Bathe KJ. Finite Element Procedures. Prentice Hall: Englewood Cliffs, NJ, 1996.
15. Brebbia LM, Saigal S. Boundary Elements. An Introduction Course. Computational Mechanics Publications and McGraw-Hill Book Co.: Southampton, 1989.
16. Alessandri C, Mallardo V. Crack identification in two-dimensional unilateral contact mechanics with the boundary element method. Computational Mechanics 1999; 24(2):100-109.
17. Gallego R, Suárez J. Numerical solution of the variation boundary integral equation for inverse problems. International Journal for Numerical Methods in Engineering 2000; 49(4):501-518.
18. Marin L, Elliott L, Ingham DB, Lesnic D. Identification of material properties and cavities in two-dimensional linear elasticity. Computational Mechanics 2003; 31(3-4):293-300.
19. Burczynski T, Kuś W, Dlugosz A. Orantek. Optimization and defect identification using distributed evolutionary algorithms. Engineering Applications of Artificial Intelligence 2004; 17(4):337-344.
20. Hsiao CT, Chahine G, Gumerov N. Application of a hybrid genetic/powell algorithm and a boundary element method to electrical impedance tomography. Journal of Computational Physics 2001; 173(2):433-454.
21. Mera NS, Elliott L, Ingham DB. Detection of subsurface cavities in IR-CAT by a real coded genetic algorithm. Applied Soft Computing 2002; 2(2):129-139.
22. Paruch M, Majchrzak E. Identification of tumor region parameters using evolutionary algorithm and multiple reciprocity boundary element method. Engineering Applications of Artificial Intelligence 2007; 20(5):647-655.
23. Waisman H, Belytschko T. Parametric enrichment adaptivity in the extended finite element method. International Journal for Numerical Methods in Engineering 2008; 73(12):1671-1692.
24. Karaboga D. An idea based on honey bee swarm for numerical optimization. Technical Report-TR06, Computer Engineering Department, Erciyes University, Turkey, 2005.
25. Karaboga D, Basturk B. A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. Journal of Global Optimization 2007; 39(3):459-471.
26. Karaboga D, Basturk B. On the performance of artificial bee colony (ABC) algorithm. Applied Soft Computing 2008; 8(1):687-697.
27. Karaboga D, Akay B. A comparative study of artificial bee colony algorithm. Applied Mathematics and Computation 2009; 214(1):108-132.
28. Singh A. An artificial bee colony algorithm for the leaf-constrained minimum spanning tree problem. Applied Soft Computing 2009; 9(2):625-631.
29. Karaboga D, Akay B. A modified artificial bee colony (ABC) algorithm for constrained optimization problems. Applied Soft Computing 2011; 11(3):3021-3031.
30. Pan QK, Fatih Tasgetiren M, Suganthan PN, Chua TJ. A discrete artificial bee colony algorithm for the lot-streaming flow shop scheduling problem. Information Sciences 2011; 181(12):2455-2468.
31. Sun H, Luş H, Betti R. Identification of structural models using a modified artificial bee colony algorithm. Computers & Structures 2013; 116(0):59-74.
32. Nelder JA, Mead R. A simplex method for function minimization. The Computer Journal 1965; 7(4):308-313.
33. Hughes TJR. The Finite Element Method-linear Static and Dynamic Finite Element Analysis. Prentice-Hall: Englewood Cliffs, NJ, 1987.
34. Yang ZL, Liu GR, Lam KY. An inverse procedure for crack detection using integral strain measured by optical fibers. Smart Materials & Structures 2002; 11(1):72-78.
35. Moës N, Dolbow J, Belytschko T. A finite element method for crack growth without remeshing. International Journal for Numerical Methods in Engineering 1999; 46(1):131-150.
36. Sukumar N, Chopp DL, Moës N, Belytschko T. Modeling holes and inclusions by level sets in the extended finite-element method. Computer Methods in Applied Mechanics and Engineering 2001; 190(46-47):6183-6200.
37. Sukumar N, Moës N, Moran B, Belytschko T. Extended finite element method for three-dimensional crack modelling. International Journal for Numerical Methods in Engineering 2000; 48(11):1549-1570.
38. Koh CG, Chen YF, Liaw CY. A hybrid computational strategy for identification of structural parameters. Computers & Structures 2003; 81(2):107-117.
39. Wang GS. Application of hybrid genetic algorithm to system identification. Structural Control and Health Monitoring 2009; 16(2):125-153.
40. Begambre O, Laier JE. A hybrid particle swarm optimization c simplex algorithm (PSOS) for structural damage identification. Advances in Engineering Software 2009; 40(9):883-891.
41. Pillai P, Krishnapillai S. A hybrid neural network strategy for identification of structural parameters. Structure and Infrastructure Engineering 2008; 6(3):379-391.
42. Lagarias JC, Reeds JA, Wright MH, Wright PE. Convergence properties of the Nelder-Mead simplex method in low dimensions. Siam Journal on Optimization 1998; 9(1):112-147.
43. Hinterding R. Gaussian mutation and self-adaption for numeric genetic algorithms. IEEE International Conference on Evolutionary Computation 1995; 1:384-389.