Flaw identification in elastomechanics: BEM simulation with local and genetic optimization

Structural Optimization

Volumn 16, Issue 2-3, 1998, Pages 162-175

  Stavroulakis, G E ^a   Antes, H ^a  

^a TECHNICAL UNIVERSITY OF BRAUNSCHWEIG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; COMPUTER SIMULATION; CONTINUUM MECHANICS; DYNAMIC LOADS; ELASTICITY; GENETIC ALGORITHMS; INVERSE PROBLEMS; OPTIMIZATION;

ELASTODYNAMIC LOADINGS; ELASTOMECHANICS;

STRUCTURAL ANALYSIS;

EID: 0032184075     PISSN: 09344373     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf01202827     Document Type: Article

References (45)

1. Adeli, H.; Kumar, S. 1995: Distributed genetic algorithm for structural optimization. ASCE J. Aerospace Eng. 8, 156-163
2. Annicchiarico, W.; Cerrolaza, M. 1997: Structural shape optimization using genetic algorithms. In: Marchetti, M.; Brebbia, C.A.; Aliabadi, M.H. (eds.) Boundary elements XIX, pp. 399-408, Southampton: Computational Mechanics Publications
3. Antes, H. 1988: Anwendungen der Methode der Randelemente in der Elastodynamik und der Fluiddynamik. Stuttgart: B.G. Teubner Verlag
4. Antes, H.; Panagiotopoulos, P.D. 1992: An integral equation approach to the static and dynamic contact problems. Equality and inequality methods. Stuttgart: Birkhäuser Verlag
5. Banan, Mo.R.; Banan, Ma.R.; Hjelmstad, K.D. 1994: Parameter estimation of structures from static response. I: computational aspects. ASCE J. Struct. Eng. 120, 3243-3258
6. Baumeister, J. 1993: Identification of parameters, ill-posedness and adaptive systems. In: Natke, H.G.; Tomlinson, G.R.; Yao, J.T.P. (eds.) Safety evaluation based in identification approaches, pp. 148-165. Braunschweig: Vieweg Verlag
7. Bezerra, L.M.; Saigal, S. 1993: A boundary element formulation for the inverse elastostatics problem (iesp) of flaw detection. Int. J. Numer. Meth. Eng. 36, 2189-2202
8. Brebbia, C.A.; Dominguez, J. 1989: Boundary elements. An introductory course. Southampton: Computational Mechanics Publications and McGraw-Hill Book Co.
9. Burczynski, T.; Kane, J.H.; Balakrishna, C. 1995: Shape design sensitivity analysis via material derivative adjoint variable technique for 3-d and 2-d curved boundary elements. Int. J. Numer. Meth. Eng. 38, 2839-2866
10. Burczynski, T.; Kuhn, G.; Antes, H.; Nowakowski, M. 1997: Boundary element formulation of shape sensitivity analysis for defect identification in free vibration problem. Eng. Anal. with Boundary Elements 19, 167-176
11. Cai, J.; Thierauf, G. 1993: Discrete structural optimization using evolution strategies. In: Topping, B.H.V.; Khan, A.I. (eds.) Neural networks and combinatorial optimization in civil and structural engineering, pp. 95-100. Edinburgh: Civil-Comp. Press
12. Carroll, D.L. 1996: Chemical laser modeling with genetic algorithms. AIAA J. 34 338-346. GA code available at 〈http://www.staff.uiuc.edu/̃carroll/ga.html〉.
13. Dominguez, J. 1993: Boundary elements in dynamics. Shouthampton: Computational Mechanics Publications and London: Elsevier Applied Science
14. Doyle, J.F. 1994: A genetic algorithm for determining the location of structural impacts. Experimental Mechanics, 37-44
15. Goldberg, D.E. 1989: Genetic algorithms in search, optimization, and machine learning. Reading, MA: Addison-Wesley
16. Grierson, D.E.; Pak, W.H. 1993: Optimal sizing, geometrical and topological design using a genetic algorithm. Struct. Optim. 6, 151-159
17. Hajela, P. 1990: Genetic search. An approach to the nonconvex optimization problem. AIAA J. 28, 1205-1210
18. Hartmann, C. 1996: "Simulierte Evolution": Ein Lösungsansatz für Formfindungsprobleme? Ph.D. Dissertation, Munich Technical University
19. Haslinger, J.; Jedelský , D. 1996: Genetic algorithms and fictitious domain based approaches in shape optimization. Struct. Optim. 12, 257-264
20. Haslinger, J.; Neittaanmäki, P. 1988: Finite element approximation of optimal shape design: theory and applications. Chichester: John Wiley and Sons
21. Huang, M.-W.; Arora, J.S. 1997: Optimal design with discrete variables: some numerical experiments. Int. J. Numer. Meth. Eng. 40, 165-188
22. Ingham, D.B.; Wrobel, L.C. (eds.) 1997: Boundary integral formulations for inverse analysis. Southampton: Computational Mechanics Publications
23. Kannal, L.E.; Doyle, J.F. 1997: Combining spectral super-elements, genetic algorithms, and massive parallelism for computationally efficient flaw detection in complex structures. Comp. Mech. 20, 67-74
24. Kaplan, A.; Tichatchke, R. 1994: Stable methods for ill-posed variational problems. Berlin: Akademie Verlag
25. Le Riche, R.; Haftka, R.T. 1993: Optimization of laminate stacking sequence for buckling load maximization by genetic algorithm. AIAA J. 31, 951-956
26. Luo, Z.Q.; Pang, J.S.; Ralph, D. 1996: Mathematical programs with equilibrium constraints. Cambridge: Cambridge University Press
27. Maniatty, A.M.; Zabaras, N.J. 1994: Investigation of regularization parameters and error estimating in inverse elasticity problems. Int. J. Numer. Meth. Eng. 37, 1039-1052
28. Mellings S.C.; Aliabadi M.H. 1994: Three dimensional flaw identification using sensitivity analysis. In: Brebbia, C.A. (ed.) Boundary element method XVI, pp. 149-156. Southampton: Computational Mechanics Publications
29. Mitra, A.K.; Das, S. 1992: Solution of inverse problems by using the boundary element method. In: Brebbia, C.A.; Ingber, M.S. (eds.) Boundary element technology VII, pp. 721-731. Computational Mechanics Publ. and Elsevier Appl. Science
30. Mitchell, M. 1996: An introduction to genetic algorithms. Cambridge, MA: The MIT Press
31. Nishimura N.; Kobayashi S. 1991: A boundary integral equation method for an inverse problem related to crack detection. Int. J. Numer. Meth. Eng. 32, 1371-1387
32. Oeljeklaus, M.; Natke, H.G. 1996: Parallel interval algorithm for parameter identification in the frequency domain. Inverse Prob. Eng. 3, 305-325
33. Oishi, A.; Yamada, K.; Yoshimura, A.; Yagawa G. 1995: Quantitative nondestructive evaluation with ultrasonic method using neural networks and computational mechanics. Comp. Mech. 15, 521-533
34. Rajeev, S.; Krishnamoorthy, C.S. 1992: Discrete optimization of structures using genetic algorithms. ASCE J. Struct. Engng. 118, 1233-1250
35. Rajeev, S.; Krishnamoorthy, C.S. 1997: Genetic algorithms- based methodologies for design optimization of trusses. ASCE J. Struct. Engng. 123, 350-358
36. Schnur, D.S.; Zabaras, N. 1992: An inverse method for determining elastic material properties and a material interface. Int. J. Numer. Meth. Eng. 33, 2039-2057
37. Stavroulakis, G.E.; Antes, H. 1997: Nondestructive elastostatic identification of unilateral cracks through BEM and Neural Networks. Comp. Mech. 20, 439-451
38. Stavroulakis, G.E.; Antes, H. 1998: Neural crack identification in steady state elastodynamics. Comp. Meth. Appl. Mech. Eng. (in press)
39. Tanaka, M.; Masuda, Y. 1986: An integral equation approach to inverse problems in structural mechanics. In: Yagawa, G.; Atluri, S.N. (eds.) Computational Mechanics 86, Vol. 2, pp. XI-15, XI-24. Berlin, Heidelberg, New York: Springer
40. Tanaka, M.; Nakamura, M.; Nakano, T.; Ishikawa, H. 1991: Identification of defects by the elastodynamic boundary element method using noisy additional information. In: Brebbia, C.A.; Gipson, G.S. (eds.) Boundary elements XIII, pp. 799-810. Computational Mechanics Publ. and Elsevier Appl. Science
41. Tosaka, N.; Utani, A.; Takahashi, H. 1995: Unknown defect identification in elastic field by boundary element method with filtering procedure. Eng. Anal. with Boundary Elements 15, 207-215
42. Weijiang, C.; Chuntu, L. 1996: A BIEM optimization method for fracture dynamics inverse problem. Acta Mech. Sinica 12, 263-271
43. Yagawa, G.; Okuda, H. 1996: Neural networks in computational mechanics. Arch. Comp. Meth. Eng. 3 435-512
44. Yoshimura, S.; Matsuda, A.; Yagawa, G. 1996: New regularization by transformation for neural network based inverse analyses and its application to structure identification, Int. J. Numer. Meth. Eng. 39 3953-3968
45. Zabaras, N.; Morellas, V.; Schnur, D. 1989: A spatially regularized solution of inverse elasticity problems using the boundary element method. Comm. Appl. Num. Meth. 5 547-553