DOI QR코드

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Plate on non-homogeneous elastic half-space analysed by FEM

  • Wang, Yuanhan (Department of Civil Engineering, Huazhong University of Science and Technology) ;
  • Ni, Jun (Department of Civil Engineering, Huazhong University of Science and Technology) ;
  • Cheung, Y.K. (Department of Civil Engineering, The University of Hong Kong)
  • 발행 : 2000.02.25

초록

The isoparametric element method is used for a plate on non-homogenous foundation. The surface displacement due to a point force acting on the non-homogeneous foundation is the fundamental solution. Based on this analysis, the interaction between the foundation and plate can be determined and the reaction of the foundation can be treated as the external force to the plate. Therefore, only the plate needs to be divided into some elements. The method presented in this paper can be used in cases such as thin or thick plate, different plate shapes, various loading, homogenous and non-homogenous foundations. The examples in this paper show that this method is versatile, efficient and highly accurate.

키워드

참고문헌

  1. Booker, J.R., Balaam, N.P. and Davis, E.H. (1985), "The behaviour of an elastic non-homogeneous half-space, Part I: Line and point loads", Int. J. for Numer. Anal. Methods Geomech., 9, 353-367. https://doi.org/10.1002/nag.1610090405
  2. Booker, J.R., Balaam, N.P. and Davis, E.H. (1985), "The behaviour of an elastic non-homogeneous half-space, Part II: Circular and strip footings", Int. J. for Numer. Anal. Methods Geomech., 9, 369-381. https://doi.org/10.1002/nag.1610090406
  3. Brown, P.T. and Gibson, R.E. (1972), ''Surface settlement of a deep elastic stratum whose modulus increases linearly with depth'', Can. Geotech. J., 9, 467-476. https://doi.org/10.1139/t72-045
  4. Chen, Shujian and Peng, Yuchi (1980), ''On spline finite element computation of plates on elastic foundations for various base-models'', Journal of Sun Yat - Sen University (National Science Edition), 2, 15-23.
  5. Cheung, Y.K. and Zienkiewicz, O.C. (1965), ''Plates and tanks on elastic foundation - an application of the finite element method'', Int. J. Solids & Struct., 1, 451-461. https://doi.org/10.1016/0020-7683(65)90008-9
  6. Cheung , Y.K. (1977), ''Beams, slabs, and pavements'', In Numerical Methods in Geotechnical Engineering, eds. by Desai, C.S. and Christian, J.T., McGraw - Hill, New York, 176-210.
  7. Gibson, R.G. (1967), ''Some results concerning displacements and stresses in a non-homogeneous elastic halfspace'', Geotechnique, 17, 58-67. https://doi.org/10.1680/geot.1967.17.1.58
  8. Hinton, E. and Owen, D.R.J. (1977), Finite Element Programming, Academic Press, London.
  9. Holl, D.L. (1940), ''Stress transmission in earths'', Proc. High. Res. Board, 20, 709-721.
  10. Liu, Qiong and Wang, Yuanhan (1996), ''A triangular finite element in the study of finite plate on elastic foundation'', Proceedings of the Second International Conference on Soft Soil Engineering, eds. by Shen Z. J. et al., Hohai University Press, Naking, 351-356.
  11. Selvaduai, A.P.S. (1979), Elastic Analysis of Soil-Foundation Interaction, Elsevier, Amsterdam.
  12. Stark, R.F. and Booker, J.R. (1997), ''Surface displacements of a non-homogeneous elastic half-space subjected to uniform surface tractions, Part I: Loading on arbitrarily shaped areas'', Int. J. for Numer. Anal. Methods Geomech., 21, 361-378. https://doi.org/10.1002/(SICI)1096-9853(199706)21:6<361::AID-NAG875>3.0.CO;2-U
  13. Stark, R.F. and Booker, J.R. (1997), ''Surface displacements of a non-homogeneous elastic half-space subjected to uniform surface tractions, Part II: Loading on rectangular shaped areas'', Int. J. for Numer. Anal. Methods Geomech., 21, 379-395. https://doi.org/10.1002/(SICI)1096-9853(199706)21:6<379::AID-NAG876>3.0.CO;2-2
  14. Vlazov, V.Z. and Leontiev, U.N. (1966), Beams, Plates, and Shells on Elastic Foundations, 1srael Progam for Scientific Translations, Jerusalem, Israel.
  15. Wang, Yuanhan, Qiu, Xiamin and Cheung, Y.K. (1998), ''Bending plate on an elastic half-space analysed by isoparametric elements'', Chinese Journal of Geotechnical Engineering, 22(4), 7-11.
  16. Zienkiewicz, O.C. and Taylor, R.L. (1991), The Finite Element Method, Fourth Edition, McGraw - Hill, London.

피인용 문헌

  1. Beams and plates on elastic foundations: a review vol.7, pp.4, 2005, https://doi.org/10.1002/pse.202
  2. Static analysis of Timoshenko beam resting on elastic half-plane based on the coupling of locking-free finite elements and boundary integral vol.45, pp.2-3, 2010, https://doi.org/10.1007/s00466-009-0431-2
  3. Plate on layered foundation analyzed by a semi-analytical and semi-numerical method vol.30, pp.5, 2003, https://doi.org/10.1016/S0266-352X(03)00014-4