153
Views
0
CrossRef citations to date
0
Altmetric
Review

A comparative study of a new subgrade model on beams with respect to FE and existing analytical models

ORCID Icon & ORCID Icon
Pages 65-79 | Received 29 Jun 2021, Accepted 10 Nov 2021, Published online: 03 Dec 2021

References

  • Biot, M.A., 1937. Bending of an infinite beam on an elastic foundation. Journal of Applied Mechanics, Transactions of the ASME, 59, A1–A7. doi:10.1115/1.4008739
  • Daloglu, A.T. and Vallabhan, C.V.G., 2000. Values of k for slab on Winkler foundation. Journal of Geotechnical Engineering, 126 (5), 463–471. ASCE. doi:10.1061/(ASCE)1090-0241(2000)126:5(463)
  • Filonenko-Borodich, M.M., 1950. Some approximate theories of elastic foundations. Uchenyie Zapiski Moskovskogo Gosudarstuennogo Universiteta Mekhanika, Moscow, 46, 3–18.
  • Hetenyi, M., 1946. Beams on elastic foundation. Ann Arbor, Michigan: University of Michigan Press.
  • Hetenyi, M., 1950. A general solution for the bending of beams on an elastic foundation of arbitrary continuity. Journal of Applied Physics, 21, 55–58. doi:10.1063/1.1699420
  • Horvath, J.S., 2002. Basic SSI concepts and applications overview. Soil-structure interaction research project. Report No. CGT-2002-2. Manhattan College, School of Engineering, New York.
  • Kerr, A.D., 1964. Elastic and viscoelastic foundation models. Journal of Applied Mechanics, 31 (3), 491–498. doi:10.1115/1.3629667
  • Kerr, A.D. and Rhines, W.J., 1967. A further study of elastic foundation models. Report No. S-67-1. New York University, School of Engineering and Science, Bronx, N.Y., U.S.A.
  • Pasternak, P.L., 1954. On a new method of an elastic foundation by means of two foundation constants. Moscow, Russia: Gosudarstvoennoe Izdatelstvo Literaturi po Stroitelsuve I Arkhitekture.
  • Poulos, H., 2018. Rational assessment of modulus of subgrade reaction. Journal of the SEAGS & AGSSEA, 49 (1), 453–460.
  • Poulos, H.G., 2002. Calculation of stress and settlement in soil masses. Geotechnical Engineering Handbook, 1, 259–312.
  • Reer, E., 1958. A note on deflections of plates on a viscoelastic foundation. Journal of Applied Mechanics, 25 (80), 144–145. doi:10.1115/1.4011704
  • Straughan, W.T., 1990. Analysis of plates on elastic foundation. Lubbock, Tex: Texas Tech University.
  • Vallabhan, C.V.G. and Daloglu, 1999. Consistent FEM-Vlasov model for plates on layered soil. Journal of Structural Engineering, 125, 108–112. doi:10.1061/(ASCE)0733-9445(1999)125:1(108)
  • Vallabhan, C.V.G. and Das, Y.C., 1988. A parametric study of beams on elastic foundations. Proceedings of the American Society of Civil Engineers, Journal of Engineering Mechanics Division, 114 (12), 2072–2082. doi:10.1061/(ASCE)0733-9399(1988)114:12(2072)
  • Vesic, A., 1961. Bending of beams resting on isotropic elastic solid. Journal of the Engineering Mechanics Division, 87 (2), 35–54. doi:10.1061/JMCEA3.0000212
  • Vlasov, V.Z. and Leont’ev, U.N., 1966. Beams, plates and shells on elastic foundations. Transaction of IPFST, 357.
  • Winkler, E., 1867. Die Lehre von der Elastizitaet und Festgkeit. H. Dominicus, Prague (in German).
  • Worku A and Habte B. (2020). Analytical formulation and finite-element implementation technique of a rigorous two-parameter foundation model to beams on elastic foundations. Geomechanics and Geoengineering, 1–14. 10.1080/17486025.2020.1827162
  • Worku A and Seid T. (2020). Application of a Robust Subgrade Model in the Analysis of Plates on an Elastic Foundation. Int. J. Geomech., 20(10), 04020192 10.1061/(ASCE)GM.1943-5622.0001834
  • Worku, A., 2010. Part I: a generalized formulation of continuum models for elastic foundations. Advances in Analysis, Modeling & Design, GeoFlorida, GSP 199 , 1641–1650 doi:10.1061/41095(365)166 .
  • Worku, A., 2013. Calibrated analytical formulas for foundation model parameters. International Journal of Geomechanics, 13 (4), 340–347. doi:10.1061/(ASCE)GM.1943-5622.0000214
  • Worku, A., 2014. Development of a calibrated Pasternak foundation model for practical use. International Journal of Geotechnical Engineering, 8 (1), 26–33. doi:10.1179/1938636213Z.00000000055

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.