References
- Gao, C, Kessler, H, and Balke, H, 2003. Crack problems in magnetoelectroelastic solids. Part I: exact solution of a crack, Int. J. Eng. Sci. 41 (2003), pp. 969–981.
- Gao, C, Tong, P, and Zhang, T, 2004. Fracture mechanics for a mode III crack in a magnetoelectroelastic solid, Int. J. Solids Struct. 41 (2004), pp. 6613–6629.
- Jiang, X, and Pan, E, 2004. Exact solution for 2D polygonal inclusion problem in anisotropic magnetoelectroelastic full-, half-, and bimaterial-planes, Int. J. Solids Struct. 41 (2004), pp. 4361–4382.
- Wu, TL, and Huang, JH, 2000. Closed-form solutions for the magnetoelectric coupling coefficients in fibrous composites with piezoelectric and piezomagnetic phases, Int. J. Solids Struct. 37 (2000), pp. 2981–3009.
- Chue, CH, and Liu, TJC, 2005. Magnetoelectroelastic antiplane analysis of a bimaterial composite wedge with an interface crack, Theor. Appl. Fract. Mech. 44 (2005), pp. 275–296.
- Pan, E, 2001. Exact solution for simply supported and multilayered magneto-electro-elastic plates, J. Appl. Mech. ASME. 68 (2001), pp. 608–618.
- Rojas-Díaz, R, Sukumar, N, Sáez, A, and García-Sánchez, F, 2011. Fracture in magnetoelectroelastic materials using the extended finite element method, Int. J. Numer. Methods Eng. 88 (2011), pp. 1238–1259.
- Zhong, XC, and Li, XF, 2007. Magnetoelectroelastic analysis for an opening crack in a piezoelectromagnetic solid, Eur. J. Mech. 26 (2007), pp. 405–417.
- Tarantola A. Inverse problem theory and methods for model parameter estimation. Philadelphia (PA): 2nd Society for Industrial and Applied Mathematics; 2004..
- Islam, AS, and Craig, KS, 1994. Damage detection in composite structures using piezoelectric materials, Smart Mater. Struct. 3 (1994), pp. 318–328.
- Kubo S, Sakagami T, Suzuki T, Maeda T, Nakatani K. Use of the piezoelectric film for the determination of cracks and defects – the passive and active electric potential CT method. J. Phys: Conf. Ser. 2008;135:art. no. 012057..
- Su Z, Ye L. Identification of damage using lamb waves. London: Springer; 2009..
- Comino, L, Rus, G, and Gallego, R, 2008. Combining topological sensitivity and genetic algorithms for identification of inverse problems in anisotropic materials, Comput. Mech. 41 (2008), pp. 231–242.
- Lu, Y, Ye, L, Su, Z, Zhou, L, and Cheng, L, 2009. Artificial Neural Network (ANN)-based crack identification in aluminium plates with Lamb wave signals, J. Intell. Mater. Syst. Struct. 20 (2009), pp. 39–49.
- Rus, G, Palma, R, and Pérez-Aparicio, JL, 2009. Optimal measurement setup for damage detection in piezoelectric plates, Int. J. Eng. Sci. 47 (2009), pp. 554–572.
- Palma, R, Rus, G, and Gallego, R, 2009. Probabilistic inverse problem and system uncertainties for damage detection in piezoelectrics, Mech. Mater. 41 (2009), pp. 1000–1016.
- García-Sánchez, F, Rojas-Díaz, R, Sáez, A, and Zhang, C, 2007. Fracture of magnetoelectroelastic composite materials using boundary element method (BEM), Theor. Appl. Fract. Mech. 47 (2007), pp. 192–204.
- Haykin S. Neural networks – a comprehensive foundation. 2nd ed. Upper Saddle River (NJ): Prentice Hall; 1999..
- Barnett, D, and Lothe, J, 1975. Dislocations and line charges in anisotropic piezoelectric insulators, Phys. Stat. Sol. 76 (1975), pp. 105–111.
- Soh, A, and Liu, J, 2005. On the constitutive equations of magnetoelectroelastic solids, J. Intell. Mater. Syst. Struct. 16 (2005), pp. 597–602.
- Aliabadi, MH, 1997. Boundary element formulations in fracture mechanics, Appl. Mech. Rev. 50 (1997), pp. 83–96.
- Liu YJ, Mukherjee S, Nishimura N, Schanz M, Ye W, Sutradhar A, Pan E, Dumont NA, Frangi A, Saez A. Recent advances and emerging applications of the boundary element method. Appl. Mech. Rev. 2011;64:p. art. no. 031001..
- Ramm AG. Inverse problem: mathematical and analytical techniques with applications to engineering. New York: Springer; 2005..
- Waszczyszyn, Z, and Ziemiański, L, 2001. Neural networks in mechanics of structures and materials – new results and prospects of applications, Comput. Struct. 79 (2001), pp. 2261–2276.
- Xiu, YG, Liu, GR, Wu, ZP, and Huang, XM, 2001. Adaptive multilayer perceptron networks for detection of cracks in anisotropic laminated plates, Int. J. Solids Struct. 38 (2001), pp. 5625–5645.
- Araújo, AL, Soares, CMM, Herskovits, J, and Pedersen, P, 2006. Parameter estimation in active plate structures using gradient optimisation and neural networks, Inverse Prob. Sci. Eng. 14 (2006), pp. 483–493.
- Hagan MT, Demuth HB, Beale M. Neural networks design. Boston (MA): PWS; 1996..
- Sáez, A, Gallego, R, and Domínguez, J, 1995. Hypersingular quarter-point boundary elements for crack problems, Int. J. Numer. Methods Eng. 38 (1995), pp. 1681–1701.
- Prechelt, L, 1998. Automatic early stopping using cross validation: quantifying the criteria, Neural Networks 11 (1998), pp. 761–767.
- Bender T, Gordon VS, Daniels M. Partitioning strategies for modular neural networks. In: Proceedings of International Joint Conference on Neural Networks; Atlanta (GA): 2008. p. 296–301..
- Zhao, ZQ, 2009. A novel modular neural network for imbalanced classification problems, Pattern Recognit. Lett. 30 (2009), pp. 783–788.