An alternative approach to boundary element methods via the fourier transform

CMES - Computer Modeling in Engineering and Sciences

Volumn 16, Issue 1, 2006, Pages 1-13

  Duddeck, Fabian M E ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Boundary element methods; Fourier transform; Fundamental solutions; Kirchhoff plates

Indexed keywords

DATA STORAGE EQUIPMENT; DIFFERENTIAL EQUATIONS; FOURIER TRANSFORMS; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; NUMERICAL METHODS; PROBLEM SOLVING;

ANISOTROPIC MATERIALS; FUNDAMENTAL SOLUTIONS; KIRCHHOFF PLATES; STORAGE CAPACITY;

BOUNDARY ELEMENT METHOD;

EID: 33845428908     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. Albuquerque, E. L.; Sollero, P.; Venturini, W. S.; Aliabadi, M. H. (2006): Boundary element analysis of anisotropic Kirchhoff plates. International Journal of Solids and Structures, vol. 43, pp. 4029-4046.
2. Antes, H.; Panagiotopoulos, P. D. (1992): The Boundary Integral Approach to Static and Dynamic Contact Problems. Birkhäuser.
3. Baiz, P. M.; Aliabadi, M. H. (2006): Linear Buckling Analysis of Shear Deformable Shallow Shells by the Boundary Domain Element Method. CMES: Computer Modelling in Engineering & Sciences, vol. 13, no. 1, pp. 19-34.
4. Beskos, D. E.(Ed): Boundary Element Analysis of Plates and Shells. Springer.
5. Bonnet, M. (1999): Boundary Integral Equation Methods for Solids and Fluids. Wiley, New York.
6. Duddeck, F. M. E. (2001): Fourier-BEM - or what to do if no fundamental solution is available? Meccanica, vol. 36, pp. 437-338.
7. Duddeck, F. M. E. (2002): Fourier-BEM- Generalization of Boundary Element Methods by Fourier Transform. Springer.
8. Duddeck, F. M. E.; Geisenhofer, M. (2002): A Generalization of BEM by Fourier Transform. Computational Mechanics, vol. 28, pp. 303-310.
9. Frangi, A.; Bonnet, M. (1998): A Galerkin symmetric and direct BIE method for Kirchhoff elastic plates: Formulation and implementation. International Journal of Numerical Methods in Engineering, vol. 41, pp. 337-369.
10. Hörmander, L. (1990): The Analysis of Linear Partial Differential Operators, volume I. Springer, 2nd edition.
11. Jahn, P. (1998): Die Randelement-Methode für elastisch gebettete Platten. PhD thesis, University of Kassel, Germany, 1998.
12. Lekhnitskii, S. G. (1968): Anisotropic Plates. Gordon & Breach.
13. Maucher, R.; Hartmann, F. (1999): Corner singularities of Kirchhoff plates and the boundary element method. Computer Methods in Applied Mechanics and Engineering, vol. 173, pp. 273-285.
14. Moraru, G. (2006): BEM based on discontinuous solutions in the theory of Kirchhoff plates on an elastic foundation. Engineering Analysis with Boundary Elements, vol. 30, pp. 382-390.
15. Purbolaksono, J.; Aliabadi, M. (2005). Dual Boundary Element Method for Instability Analysis of Cracked Plates. CMES: Computer Modelling in Engineering & Sciences, vol. 8, no. 1, pp. 73-90.
16. Schwartz, L. (1950/51): Théorie des Distributions, volume I-II. Hermann & Cie, Paris.
17. Timoshenko, S.; Woinowsky-Krieger, S. (1959): Theory of plates and shells. McGraw-Hill, New York, 2nd edition.
18. Wen, P. H.; Aliabadi, M. H.; Young, A. (2002): Boundary Element Analysis of Curved Cracked Panels with Mechanically Fastened Repair Patches. CMES: Computer Modelling in Engineering & Sciences, vol. 3, no. 1, pp. 1-10.
19. Zhao, M. (1995): Randelementmethode und Makroelemente für Isotrope und anisotrope Kirchhoffsche Platten. PhD thesis, ETH Zurich, 1995.