Finite Element Analysis of Thick Circular Plates on Elastic Foundations

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Riyadh J. Aziz
Adel A. Al-Azzawi
Mustafa H. Al-Allaf

Abstract

This paper deals with the linear elastic behavior of thick circular plates on Winkler type elastic foundations with both compressional and tangential resistances. The finite element method with different isoparametric thick plate and brick finite elements are used to solve problems, which were previously solved by the finite difference method. Good agreement was noticed between the different methods

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References

Al-Allaf, M. H., “Three Dimensional Finite Element Analysis of Thick Plates on Elastic Foundations”, M.Sc. Thesis,Faculty of Engineering, Al-Nahrain University, (2005).

Al-Azzawi, A. A., “ Thick Circular Plates on ElasticFoundations”, M.Sc. Thesis, Faculty of Engineering, Al- Nahrain University, (1995).

Chakravorty, A.K.and Ghosh, A.,” Finite Difference Solution for Circular Plates on Elastic Foundations”, InternationalJournal for Numerical Methods in Engineering, Vol.9, pp.73- 84, (1975). DOI: https://doi.org/10.1002/nme.1620090107

Frederick, D., “On Some Problems in Bending of Thick Circular Plates on an Elastic Foundation”, ASME (Trans.)Journal of Applied Mechanics, Vol.123, pp.195-200, (1956). DOI: https://doi.org/10.1115/1.4011286

Hinton, E. and Owen, D.R.J, “Finite Element Programming “,Academic Press London, (1977).

Hinton, E. and Owen, D.R.J., “An Introduction to the Finite Element Computations” pineridge Press limited, Swansea,U.K, (1979).

Levinson, M., ,“An Accurate, Simple Theory of Statics and Dynamics of Elastic Plates”, Mechanics ResearchCommunications, Vol.7, pp.343-355, (1980). DOI: https://doi.org/10.1016/0093-6413(80)90049-X

Liu, X and, Solecki, “Green’s Function for an Infinite Elastic Plate on Winkler’s Foundation “ASME Journal ofEngineering Mechanics, VOL.127, No.3, March, (2001). DOI: https://doi.org/10.1061/(ASCE)0733-9399(2001)127:3(305)

Mindlin, R., “Influence of Rotary Inertia and Shear on Flexural Motions of Isotropic Elastic Plates”, ASME, Journalof Applied Mechanics, VOL.18, March, pp.31-38, (1951). DOI: https://doi.org/10.1115/1.4010217

Naghdi, P.M.and Rowely, J.C., “On the Bending of Axially Symmetric Plates on Elastic Foundations”, Proc.1stMidwestern conf. on solid Mech., Univ.of Illinois, pp.119- 123, (1953).

Perakatte, G.J. and Lehnhoff, T.F., “Flexure of SymmetricallyLoaded Circular Plates Including the Effect of TransverseShear”, ASME, Journal of AppliedMechanics,Vol.101,pp.1036-1041, (1971). DOI: https://doi.org/10.1115/1.3408908

Reissner, E., “The Effect of Transverse Shear Deformationon the Bending of Elastic Plates”, ASME, Journal of AppliedMechanics, Vol.12, pp.69-77, (1945). DOI: https://doi.org/10.1115/1.4009435

Selvadurai, A.P.S., “Elastic Analysis of Soil-foundationInteraction”, Elsevier Scientific Publishing company, (1979).

Schmidt, R., ” A Refined Nonlinear Theory of Plates with Transverse Shear Deformation”, International Journal forNumerical Methods in Engineering ,Vol.1,PP.23-24, (1977).

Timoshenko, S.and Woinowisky-Krieger, s., ”Theory of Plates and Shells”, McGraw-Hill, New York, (1959).

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