Abstract
A neural network approach is proposed for the treatment of inverse problems in linear and nonlinear elastostatics. The specific application concerns the identification of a crack in an elastic body with possible unilateral contact effects. The method is tested with numerical data produced by the multiregion boundary element method.
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References
Antes, H. and Panagiotopoulos, P. D. (1992) An integral equation approach to the static and dynamic contact problems. Equality and inequality methods. Birkhäuser Verlag, Boston, Basel, Stuttgart.
Brebbia, C. A. and Dominguez, J. (1989) Boundary Elements. An introductory course. Computational Mechanics Publications and McGraw-Hill Book Co.
Luo, Z.-Q., Pang, J.-S. and Ralph, D. (1996) Mathematical Programs with Equilibrium Constraints. Cambridge University Press, 1996.
Mellings S. C. and Aliabadi M. H. (1994) Three dimensional flaw identification using sensitivity analysis. In: Boundary Element Method XVI, Brebbia, C. A. (ed), pp. 149–156, Computational Mechanics Publications, Southampton, Boston.
Mitra, A. K. and Das, S. (1992) Solution of inverse problems by using the boundary element method. In: Boundary Element Technology VII, Brebbia, C. A., Ingber, M. S. (eds), pp. 721–731, Computational Mechanics Publ and Elsevier Appl. Science.
Natke H. G. (1991) Einführung in Theorie und Praxis der Zeitreihen-und Modalanalyse. 3rd Ed., Vieweg Verlag, Braunschweig, Wiesbaden.
Natke H. G. (1993) The state of the art of system identification. Emphasizing nonlinear systems and applications. In: Structural Dynamics EURODYN’93, Moan et al. (eds), Vol. 2, pp. 805–810, Balkema, Rotterdam.
Nishimura N. and Kobayashi S. (1991) A boundary integral equation method for an inverse problem related to crack detection, Intern. Journal for Numerical Methods in Engineering, 32, pp. 1371–1387.
Oishi, A., Yamada, K. and Yoshimura, A., Yagawa G. (1995) Quantitative nondestructive evaluation with ultrasonic method using neural networks and computational mechanics, Computational Mechanics, 15, pp. 521–533.
Outrata, J. V. and Zowe, J. (1995) A numerical approach to optimization problems with variational inequality constraints, Mathematical Programming, 68, pp. 105–130.
Panagiotopoulos, P. D. (1985) Inequality Problems in Mechanics and Applications, Convex and Nonconvex Enegy Functions, Birkhäuser Verlag, Basel.
Rhim, J. and Lee S. W. (1995) A neural network approach for damage detection and identification of structures, Computational Mechanics, 16, pp. 437–443.
Stavroulakis, G. E. (1995) Optimal prestress of cracked unilateral structures: finite element analysis of an optimal control problem for variational inequalities, Computer Methods in Applied Mechanics and Engineering, 123, pp. 231–246.
Stavroulakis, G. E. and Antes, H. (1997) Nondestructive elastostatic identification of unilateral cracks through BEM and Neural Networks, Computational Mechanics (in press).
Tanaka, M. and Masuda, Y. (1986) An integral equation approach to inverse problems in structural mechanics. In: Computational Mechanics 86, Yagawa, G., Atluri, S. N. (eds), Vol. 2, pp. XI–15, XI–24, Springer.
Tanaka, M., Nakamura, M., Nakano, T., Ishikawa, H. (1991) Identification of defects by the elastodynamic boundary element method using noisy additional information. In: Boundary Elements XIII, Brebbia, C. A. Gipson, G. S. (eds), pp. 799–810, Computational Mechanics Publ. and Elsevier Appl. Science.
Tosaka, N., Utani, A. and Takahashi, H. (1995) Unknown defect identification in elastic field by boundary element method with filtering procedure, Engineering Analysis with Boundary Elements, 15, pp. 207–215.
Wu, X., Ghaboussi, J. and Garett, Jr. J. H. (1992) Use of neural networks in detection of structural damage, Computers and Structures, 42, pp. 649–659.
Yoshimura, S., Matsuda, A. and Yagawa, G. (1996) New regularization by transformation for neural network based inverse analyses and its application to structure identification, Intern. Journal of Numerical Methods in Engineering, 39, pp. 3953–3968.
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© 1999 Springer Science+Business Media Dordrecht
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Stavroulakis, G.E., Antes, H. (1999). Crack Detection by Elastostatic Measurements. In: Mang, H.A., Rammerstorfer, F.G. (eds) IUTAM Symposium on Discretization Methods in Structural Mechanics. Solid Mechanics and its Applications, vol 68. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4589-3_23
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DOI: https://doi.org/10.1007/978-94-011-4589-3_23
Publisher Name: Springer, Dordrecht
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