Fundamental solution and boundary element analysis of thick plates on Winkler foundation

Computers and Structures

Volumn 70, Issue 3, 1999, Pages 325-336

  Al Hosani, K ^a   Fadhil, S ^b   El Zafrany, A ^b  

^a UNITED ARAB EMIRATES UNIVERSITY   (United Arab Emirates)

^b CRANFIELD UNIVERSITY   (United Kingdom)

Author keywords

Boundary element; Boundary integral equation; Foundation; Reissner plates; Soil

Indexed keywords

BOUNDARY ELEMENT METHOD; ELASTICITY; FOUNDATIONS; FOURIER TRANSFORMS; INTEGRAL EQUATIONS; SOIL STRUCTURE INTERACTIONS; STRESS CONCENTRATION; STRUCTURAL LOADS;

BESSEL FUNCTIONS; HANKEL TRANSFORMS; REISSNER PLATES; WINKLER FOUNDATIONS;

PLATES (STRUCTURAL COMPONENTS);

EID: 0033079807     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(98)00171-0     Document Type: Article

References (20)

1. Selvadurai APS. Elastic analysis of soil-foundation interaction. Amsterdam: Elsevier, 1979.
2. Katsikadelis J.T., Armenbkas A.E. Plates on elastic foundation by BIE method. J Struct Div, ASCE. 110:1984;1086-1105.
3. Costa J.A., Brebbia C.A. The boundary element method applied to plates on elastic foundations. Engng Anal. 2:1985;174-182.
4. Puttonen J, Varpasuo P. Boundary element analysis of plates on elastic foundations. Int J Numer Meth Engng. 23:1986;287-303.
5. León S., París F. Analysis of thin plates on elastic foundations with boundary element method. Engng Anal. 6:1989;192-196.
6. El-Zafrany A., Fadhil S., Al-Hosani K. A new fundamental solution for boundary element analysis of thin plates on Winkler foundation. Int J Numer Meth Engng. 38:1995;887-903.
7. El-Zafrany A., Fadhil S. A modified Kirchhoff theory for boundary element analysis of thin plates resting on two-parameter foundation. Engng Struct. 18:1996;102-114.
8. Weeën F.V. Application of the boundary integral equation method to Reissner's plate model. Int J Numer Meth Engng. 18:1982;1-10.
9. El-Zafrany A., Debbih M., Fadhil S. Boundary element analysis of thick Reissner plates in bending. Engng Anal Boundary Elem. 14:1994;159-169.
10. El-Zafrany A., Fadhil S., Debbih M. An efficient approach for boundary element analysis of thin and thick plates. Comput Struct. 56:1995;565-576.
11. Katsikadelis J.T., Yotis A.J. A new boundary element solution of thick plates modelled by Reissner's theory. Engng Anal Boundary Elem. 12:1993;65-74.
12. Jianguo W., Xiuxi W., Maokuang H. Fundamental solution and boundary integral equations for Reissner's plates on two parameter foundations. Int J Solids Struct. 29:1992;1233-1239.
13. Jianguo W., Xiuxi W., Maokuang H. A boundary integral equation formulation for thick plates on a Winkler foundation. Comput Struct. 49:1993;179-185.
14. Fadhil S, El-Zafrany A. Boundary element analysis of thick Reissner plates on two-parameter foundation. Int J Solids Struct. 31:1994;2901-2917.
15. Rashed Y.F., Aliabadi M.H., Brebbia C.A. The boundary element method for thick plates on a Winkler foundation. Int J Numer Methods Engng. 41:1998;1435-1462.
16. Reissner E. The effect of transverse shear deformation on the bending of elastic plates. ASME J Appl Mech. 12:1945;A69-A77.
17. El-Zafrany A. Techniques of the boundary element method. Chichester: Ellis Horwood, 1993.
18. Ditkin VA, Prudnikov AP. Integral transforms and operational calculus. New York: Pergamon Press, 1965.
19. Abramowitz M, Stegun IA. Handbook of mathematical functions. New York: Dover Publications, 1965.
20. Al-Hosani K. Stress analysis of thin and thick plates on elastic foundations using boundary and finite element methods. PhD thesis. Cranfield University, Cranfield, Bedford, England, 1991.