The boundary element method for thick plates on a winkler foundation

International Journal for Numerical Methods in Engineering

Volumn 41, Issue 8, 1998, Pages 1435-1462

  Rashed, Youssef F ^a   Aliabadi, M H ^b   Brebbia, C A ^c  

^a CAIRO UNIVERSITY   (Egypt)

^b QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^c WIT   (United Kingdom)

Author keywords

Boundary element method; Fundamental solutions; Reissner's plate theory; Winkler foundation

Indexed keywords

BOUNDARY ELEMENT METHOD; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; STRUCTURAL ANALYSIS;

OPERATOR DECOUPLING TECHNIQUE; QUADRATIC ISOPARAMETRIC BOUNDARY ELEMENT METHOD; REISSNER PLATE THEORY; WINKLER FOUNDATION;

PLATES (STRUCTURAL COMPONENTS);

EID: 0032047063     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19980430)41:8<1435::AID-NME345>3.0.CO;2-O     Document Type: Article

References (19)

1. S. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill, New York, 1959.
2. J. T. Katsikadelis and A. E. Armenakas, 'Plates on elastic foundation by BIE method', ASCE J. Struct. Engng., 110, 1086-1105 (1984).
3. J. Balaš, V. Sládek and J. Sládek, 'The boundary integral equation method for plates resting on a two-parameter foundation', ZAMM, 64, 137-146 (1984).
4. J. A. Costa Jr. and C. A. Brebbia, 'The boundary element method applied to plates on elastic foundations', Engng. Anal., 2, 174-183 (1985).
5. J. Puttonen and P. Varpasuo, 'Boundary element analysis of a plate on elastic foundations', Int. J. Numer. Meth. Engng., 23, 287-303 (1986).
6. G. Bezine, 'A new boundary element method for bending of plates on elastic foundations', Int. J. Solids Struct., 24, 557-565 (1988).
7. N. Kamiya and Y. Sawaki, 'The plate bending analysis by the dual reciprocity boundary elements', Engng. Anal., 6, 36-40 (1988).
8. E. Reissner, 'On bending of elastic plates', Quart. Appl. Math., 5, 55-68 (1947).
9. Y. F. Rashed, M. H. Aliabadi and C. A. Brebbia, 'Stress and displacement boundary integral formulations for shear-deformable plate bending analysis', in C. A. Brebbia, J. B. Martins, M. H. Aliabadi and N. Haie (eds.), BEM XVII CMP, 1996, pp. 393-502.
10. D. Feredrick, 'Thick rectangular plates on an elastic foundation', Tran. ASCE, 122, 1069-1085 (1957).
11. A. El-Zafarany, S. Fadhil and K. Al-Hosani, 'A new fundamental solution for boundary element analysis of thin plates on Winkler foundation', Int. J. Numer. Meth. Engng., 38, 887-903 (1995).
12. J. Wang, X. Wang and M. Huang, 'A boundary integral equation formulation for thick plates on a Winkler foundation', Comput. Struct., 49, 179-185 (1993).
13. A. D. Kerr, 'Elastic and viscoelastic foundation models', J. Appl. Mech., 31, 491-498 (1964).
14. C. A. Brebbia, J. C. F. Telles and L. C. Wrobel, Boundary Element Techniques: Theory and Applications in Engineering, Springer, Berlin, 1984.
15. L. Hörmander, Linear Partial differential Operators, Springer, Berlin, 1963.
16. M. Abramowitz and I. A. Stegun, (eds.), Handbook of Mathematical Functions, Dover, New York, 1965.
17. Y. F. Rashed, M. H. Aliabadi and C. A. Brebbia, Transformation of domain integrals in BEM for thick foundation plates', submitted.
18. J. C. F. Telles, 'A self-adaptive coordinate transformation for efficient numerical evaluation of general boundary element integrals', Int. J. Numer. Meth. Engng., 24, 959-973 (1987).
19. M. H. Aliabadi, W. S. Hall and T. G. Phemister, 'Taylor expansion for singular kernels in the boundary element method', Int. J. Numer. Meth. Engng., 21, 2221-2236 (1985).