Inverse problem techniques for multiple crack detection in 2D elastic continua based on extended finite element concepts

References

• Li H-N, Ren L, Jia Z-G, et al. State-of-the-art in structural health monitoring of large and complex civil infrastructures. J Civ Struct Health Monit. 2016;6(1):3–16.
   Google Scholar
• Mesquita E, Antunes P, Coelho F, et al. Global overview on advances in structural health monitoring platforms. J Civ Struct Health Monit. 2016;6(3):461–475.
   Google Scholar
• Dorafshan S, Maguire M. Bridge inspection: human performance, unmanned aerial systems and automation. J Civ Struct Health Monit. 2018;8(3):443–476.
   Google Scholar
• Gulizzi V, Rizzo P, Milazzo A, et al. An integrated structural health monitoring system based on electromechanical impedance and guided ultrasonic waves. J Civ Struct Health Monit. 2015;5(3):337–352.
   Google Scholar
• Cartz L. Nondestructive testing. Cleveland, OH: ASM International; 1995.
   Google Scholar
• Belytschko T, Black T. Elastic crack growth in finite elements with minimal remeshing. Int J Numer Meth Engng. 1999;45(5):601–620.
   Google Scholar
• Moës N, Sukumar N, Moran B, et al. An extended finite element method (x-fem) for two-and three-dimensional crack modeling. European Congress on Computational Methods in Applied Sciences and Engineering; Barcelona, Spain: 2000.
   Google Scholar
• Moës N, Belytschko T. Extended finite element method for cohesive crack growth. Eng Fract Mech. 2002;69(7):813–833.
   Google Scholar
• Elguedj T, Gravouil A, Combescure A. A mixed augmented lagrangian-extended finite element method for modelling elastic–plastic fatigue crack growth with unilateral contact. Int J Numer Methods Eng. 2007;71(13):1569–1597.
   Google Scholar
• Broumand P, Khoei A. X-fem modeling of dynamic ductile fracture problems with a nonlocal damage-viscoplasticity model. Finite Elem Anal Des. 2015;99:49–67.
   Google Scholar
• Liu F, Borja RI. A contact algorithm for frictional crack propagation with the extended finite element method. Int J Numer Methods Eng. 2008;76(10):1489–1512.
   Google Scholar
• Khoei A, Mousavi ST. Modeling of large deformation–large sliding contact via the penalty x-fem technique. Comput Materials Sci. 2010;48(3):471–480.
   Google Scholar
• Broumand P, Khoei A. General framework for dynamic large deformation contact problems based on phantom-node x-fem. Comput Mech. 2018;61(4):449–469.
   Google Scholar
• Khoei A, Vahab M, Haghighat E, et al. A mesh-independent finite element formulation for modeling crack growth in saturated porous media based on an enriched-fem technique. Int J Fract. 2014;188(1):79–108.
   Google Scholar
• Khoei A, Vahab M, Hirmand M. Modeling the interaction between fluid-driven fracture and natural fault using an enriched-fem technique. Int J Fract. 2016;197(1):1–24.
   Google Scholar
• Sawada T, Tezuka A. Llm and x-fem based interface modeling of fluid–thin structure interactions on a non-interface-fitted mesh. Comput Mech. 2011;48(3):319–332.
   Google Scholar
• Khoei A. Extended finite element method : theory and applications. Chichester, UK: John Wiley & Sons, Ltd.; 2015.
   Google Scholar
• Rabinovich D, Givoli D, Vigdergauz S. Xfem-based crack detection scheme using a genetic algorithm. Int J Numer Methods Eng. 2007;71(9):1051–1080.
   Google Scholar
• Waisman H, Chatzi E, Smyth AW. Detection and quantification of flaws in structures by the extended finite element method and genetic algorithms. Int J Numer Methods Eng. 2010;82(3):303–328.
   Google Scholar
• Sun H, Waisman H, Betti R. Nondestructive identification of multiple flaws using xfem and a topologically adapting artificial bee colony algorithm. Int J Numer Methods Eng. 2013;95(10):871–900.
   Google Scholar
• Nanthakumar S, Lahmer T, Zhuang X, et al. Detection of material interfaces using a regularized level set method in piezoelectric structures. Inverse Probl Sci Eng. 2016;24(1):153–176.
   Google Scholar
• Agathos K, Chatzi E, Bordas SP. Multiple crack detection in 3d using a stable xfem and global optimization. Comput Mech. 2018;62:835–852.
   Google Scholar
• Khatir S, Wahab MA. A computational approach for crack identification in plate structures using xfem, xiga, pso and jaya algorithm. Theoretical Appl Fract. 2019;103:102240.
   Google Scholar
• Khaji N. Crack detection in 2d domains using extended finite element method and particle swarm optimization. Modares Civil Eng J. 2017;16(20):177–189.
   Google Scholar
• Livani M, Khaji N, Zakian P. Identification of multiple flaws in 2d structures using dynamic extended spectral finite element method with a universally enhanced meta-heuristic optimizer. Struct Multidiscipl Optim. 2018;57(2):605–623.
   Google Scholar
• Köppen M. Crack identification using extended isogeometric analysis and particle swarm optimization. Proceedings of the 7th International Conference on Fracture Fatigue and Wear: FFW 2018, 9-10 July 2018, Ghent University; Belgium: Springer; 2018. p. 210.
   Google Scholar
• Fang S-E, Perera R. A response surface methodology based damage identification technique. Smart Mater Struct. 2009;18(6):065009.
   Google Scholar
• Mukhopadhyay T, Chowdhury R, Chakrabarti A. Structural damage identification: a random sampling-high dimensional model representation approach. Adv Struct Eng. 2016;19(6):908–927.
   Google Scholar
• Mukhopadhyay T. A multivariate adaptive regression splines based damage identification methodology for web core composite bridges including the effect of noise. J Sandwich Struct Mater. 2018;20(7):885–903.
   Google Scholar
• Jung J, Taciroglu E. Modeling and identification of an arbitrarily shaped scatterer using dynamic xfem with cubic splines. Comput Meth Appl Mech Eng. 2014;278:101–118.
   Google Scholar
• Chan T, Li J, Caprani C. Structural identification and evaluation for shm applications. J Civ Struct Health Monit. 2018;8(5):719–720.
   Google Scholar
• Fritzen C-P. Identification of mass, damping, and stiffness matrices of mechanical systems. J Vibration Acoustics Stress and Reliability Design. 1986;108(1):9–16.
   Google Scholar
• Cheng L, Tian GY. Surface crack detection for carbon fiber reinforced plastic (cfrp) materials using pulsed eddy current thermography. IEEE Sens J. 2011;11(12):3261–3268.
   Google Scholar
• Siavashi M, Kowsary F, Abbasi-Shavazi E. Detection of flaws in a two-dimensional body through measurement of surface temperatures and use of conjugate gradient method. Comput Mech. 2010;46(4):597–607.
   Google Scholar
• Koh CG, See LM, Balendra T. Estimation of structural parameters in time domain: a substructure approach. Earthq Eng Struct Dyn. 1991;20(8):787–801.
   Google Scholar
• Brincker R, Zhang L, Andersen P. Modal identification of output-only systems using frequency domain decomposition. Smart Materials and Struct. 2001;10(3):441.
   Google Scholar
• Mahato S, Chakraborty A. Sequential clustering of synchrosqueezed wavelet transform coefficients for efficient modal identification. J Civ Struct Health Monit. 2019;9(2):271–291.
   Google Scholar
• Cao L, Liu J, Xu C, et al. Uncertain inverse method by the sequential fosm and its application on uncertainty reconstruction of vehicle–pedestrian collision accident. Int J Mech Mater Des. 2020;1:1–14.
   Google Scholar
• Zhu X, Law S-S. Recent developments in inverse problems of vehicle–bridge interaction dynamics. J Civ Struct Health Monit. 2016;6(1):107–128.
   Google Scholar
• Muelller JL, Siltanen S. Linear and nonlinear inverse problems with practical applications. Vol. 1. Philadelphia, Pennsylvania: Siam; 2012.
   Google Scholar
• Mera N, Elliott L, Ingham D. A multi-population genetic algorithm approach for solving ill-posed problems. Comput Mech. 2004;33(4):254–262.
   Google Scholar
• Chen K, Kao J, Chen J, et al. Desingularized meshless method for solving Laplace equation with over-specified boundary conditions using regularization techniques. Comput Mech. 2009;43(6):827–837.
   Google Scholar
• Osher S, Burger M, Goldfarb D, et al. An iterative regularization method for total variation-based image restoration. Multiscale Model Simul. 2005;4(2):460–489.
   Google Scholar
• Liu J, Sun X, Han X, et al. Dynamic load identification for stochastic structures based on Gegenbauer polynomial approximation and regularization method. Mech Syst Signal Process. 2015;56:35–54.
   Google Scholar
• Liu J, Sun X, Meng X, et al. A novel shape function approach of dynamic load identification for the structures with interval uncertainty. Int J Mech Mater Des. 2016;12(3):375–386.
   Google Scholar
• Babuška I, Melenk JM. The partition of unity method. Int J Numer Methods Eng. 1997;40(4):727–758.
   Google Scholar
• Broumand P, Khoei A. The extended finite element method for large deformation ductile fracture problems with a non-local damage-plasticity model. Eng Fract Mech. 2013;112:97–125.
   Google Scholar
• Sutton MA, Orteu JJ, Schreier H. Image correlation for shape, motion and deformation measurements: basic concepts, theory and applications. Columbia, South Carolina: Springer Science & Business Media; 2009.
   Google Scholar
• Pierron F, Forquin P. Ultra-high-speed full-field deformation measurements on concrete spalling specimens and stiffness identification with the virtual fields method. Strain. 2012;48(5):388–405.
   Google Scholar