Geomechanics and Engineering

  • 제28권1호
  • /
  • Pages.89-105
  • /
  • 2022
  • /
  • 2005-307X(pISSN)
  • /
  • 2092-6219(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Distribution of elastoplastic modulus of subgrade reaction for analysis of raft foundations

  • Rahgooy, Kamran (Department of Civil Engineering, Science and Research Branch, Islamic Azad University) ;
  • Bahmanpour, Amin (Department of Civil Engineering, Science and Research Branch, Islamic Azad University) ;
  • Derakhshandi, Mehdi (Department of Civil Engineering, Science and Research Branch, Islamic Azad University) ;
  • Bagherzadeh-Khalkhali, Ahad (Department of Civil Engineering, Science and Research Branch, Islamic Azad University)
  • 투고 : 2020.12.24
  • 심사 : 2021.12.01
  • 발행 : 2022.01.10
⟨ 이전 논문 다음 논문 ⟩

초록

The behavior of the soil subgrade is complex and irregular against loads. When modeling, the soil is often replaced by a more straightforward system called a subgrade model. The Winkler method of linear elastic springs is a popular method of soil modeling in which the spring constant shows the modulus of subgrade reaction. In this research, the factors affecting the distribution of the modulus of subgrade reaction of elastoplastic subgrades are examined. For this purpose, critical theories about the modulus of subgrade reaction were examined. A square raft foundation on a sandy soil subgrade with was analyzed at different internal friction angles and Young's modulus values using ABAQUS software. To accurately model the actual soil behavior, the elastic, perfectly plastic constitutive model was applied to investigate a foundation on discrete springs. In order to increase the accuracy of soil modeling, equations have been proposed for the distribution of the subgrade reaction modulus. The constitutive model of the springs is elastic, perfectly plastic. It was observed that the modulus of subgrade reaction under an elastic load decreased when moving from the corner to the center of the foundation. For the ultimate load, the modulus of subgrade reaction increased as it moved from the corner to the center of the foundation.

키워드

참고문헌

  1. ABAQUS. (2016), Analysis user's manual, Simulia, Dassault systems. http://130.149.89.49:2080/v2016/books/usb/default.htm?startat=pt01ch03s02abx12.html.
  2. Abdoulaye Sall, O., Fall, M., Berthaud, Y. and Makhaly, B. (2015), "Influence of mechanical properies concrete and soil on solicitaion of mat foundation", Open J. Civil Eng., 5, 249-260. http://doi.org/10.4236/ojce.2015.52025.
  3. ACI 336.2R-88 (2002), Suggested Design Procedure for Combined Footing and Mats, American Concrete Institute; Farmington Hills, MI, USA. http://materias.fi.uba.ar/6408/Brinch%20Hansen%20%20An%20extended%20formula%20for%20bearing%20capacity.pdf.
  4. ACI 360R-10 (2010), Guide to Design of Slabs-on-Ground, American Concrete Institute; Farmington Hills, MI, USA.
  5. Amini, E., Golbaz, D., Amini, F., Majidi Nezhad, M., Neshat, M. and Astiaso Garcia, D.A. (2020), "Parametric study of wave energy converter layouts in real wave models", Energies, 13(22), 6095. https://doi.org/10.3390/en13226095.
  6. Amini, E., Golbaz, D., Asadi, R., Nasiri, M., Ceylan, O., Majidi Nezhad, M. and Neshat, M.A. (2021), "Comparative study of metaheuristic algorithms for wave energy converter power takeoff optimisation: A case study for Eastern Australia", J. Mar. Sci. Eng., 9(5), 490. https://doi.org/10.3390/jmse905049.
  7. Arnold, M. (1980), "Prediction of footing settlements on sand", Ground Eng., 13, 40-47.
  8. Basile, F. (2015), "Non-linear analysis of vertically loaded piled rafts", Comput. Geotech., 63, 73-82. https://doi.org/10.1016/j.compgeo.2014.08.011.
  9. Biot, M.A. (1937), "Bending of an infinite beam on an elastic foundation" J. Appl. Mech. T. Am. Soc. Meeh. Eng., 59, 1-7. https://doi.org/10.1063/1.1712886.
  10. Bond, D.W. (1961), "Influence of foundation size on settlement", Geotechnique, 11(2), 121-143. https://doi.org/10.1680/geot.1961.11.2.121.
  11. Bowles, J.E. (1997), Foundation Analysis and Design, (5th Ed), McGraw-Hill, New York, 501-519. http://thuvienso.hau.edu.vn:8888/dspace/handle/hau/4588.
  12. Broms, B. (1964a), "Lateral resistance of piles in cohesive soils", Soil Mech. Found. Div. - ASCE, 90(2), 27-63. https://doi.org/10.1061/JSFEAQ.0000611
  13. Desai, C.S. and Siriwardane, H.J. (1984), "Constitutive laws for engineering materials with: Emphasis on gelogic materials", Numer. Anal. Method. Geomech., 8(3), 308-309. https://doi.org/10.1002/nag.1610080310.
  14. Dey, A., Chandra, S. and Basudhar, P.K. (2011), "Flexural response of aqueduct resting on reinforced elastic foundation subgrades", National Conference on Recent Advances in Ground Improvement Techniques, CBRI Roorkee, India. https://www.researchgate.net/publication/280977380.
  15. Figueria, D., Sousa, C. and Serra Neves, A. (2018), "Winkler spring behavior in FE analyses of dowel action in statically loaded RC cracks", Comput. Concrete, 21(5), 593-605. http://doi.org/10.12989/cac.2018.21.5.593.
  16. Garg, V. and Hora, M.S. (2012), "A review on interaction behaviour of structure-foundation-soil system", Int. J. Eng. Res., 2(6), 639-644. https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.640.3963&rep=rep1&type=pdf.
  17. Hansen, J.B. (1970), "A Revised and Extended Formula for Bearing Capacity", Danish Geotechnical Institute, 28, 21. http://materias.fi.uba.ar/6408/Brinch%20Hansen%20%20An%20extended%20formula%20for%20bearing%20capacity.pdf.
  18. Hayashi, K. (1921), "Theory of Beams on Elastic Foundation", Springer-Verlag, German.
  19. Hertz, H. (1884), "On equilibrium of floating elastic plates", Ann. Phys. Chem., 22, 449-455 (in German). https://onlinelibrary.wiley.com/doi/abs/10.1002/andp.18842580711.
  20. Holtz, R.D. (1991), "Stress Distribution and Settlement of Shallow Foundation", Foundation Engineering Handbook, In: Fand H-Y, Editor, Springer, University of Washington, Washington, USA, 166-222. https://link.springer.com/chapter/10.1007%2F978-1-4615-3928-5_5.
  21. Ismael, N.F. (1985), "Allowable pressure from loading tests on Kuwait soils", Can. Geotech. J., 22(2), 151-157. https://doi.org/10.1139/t85-021.
  22. Ismael, N.F. (1996), "Loading tests on circular and ring plates in very dense cemented sands", Geotech. Eng., 122(4), 281-287. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:4(281).
  23. Jamil, I. and Ahmad, I. (2019), "Bending moments in raft of a piled raft system using Winkler analysis", Geomech. Eng., 18(1), 41-48. http://dx.doi.org/10.12989/gae.2019.18.1.041.
  24. Jeong, S., Park, J., Hong, M. and Lee, J. (2017), "Variability of subgrade reaction modulus on flexible mat foundation", Geomech. Eng., 13(5), 757-774. https://doi.org/10.12989/gae.2017.13.5.757.
  25. Kome, G.S., Ukarande, S.K., Borgaonkar, K. and Sawant, V.A. (2008), "A Parametric Study of Raft Foundation", Proceedings of the 12th International Conference of International Assocfation for Computer Methods and Advances in Geomechanics, Goa. India.
  26. Lee, J., Jeong, S. and Lee, J.K. (2015), "3D analytical method for mat foundations considering coupled soil springs", Geomech. Eng., 8(6), 845-857. https://doi.org/10.12989/gae.2015.8.6.845.
  27. Loukidis, D. and Tamiolakis, G.P. (2017), "Spatial distribution of winkler spring stiffness for rectangular raft foundation analysis", Eng. Struct., 53, 443-5. https://doi.org/10.1016/j.0engstruct.2017.10.001.
  28. Miner, D.F. and Seastone, J.B. (1955), Handbook of Engineering Materials, Wiley, New York, USA.
  29. Naeini, S.A., Ziaie Moayed, R. and Allahyari, F. (2014), "Subgrade reaction modulus (Ks) of clayey soils based on field tests", J. Eng. Geology, 8(1), 2021-2046. https://www.researchgate.net/publication/286926667.
  30. Pasternak, P.L. (1954), "On a New Method of Analysis of Elastic Foundation by Means of Two Foundation Constants", Gosudarstvennoe Izadatelstvo Literaturi po Stroitesuvei Arkhitekture, Russian.
  31. Potts, D.M. (2003), "Numerical analysis: A virtual dream or practical reality", Geotechnique, 53(6), 535-573. https://doi.org/10.1680/geot.53.6.535.37330.
  32. Qin, H. and Dong Gue, W. (2014), "Limiting force profile and laterally loaded rigid piles in sand", Appl. Mech. Mater., 553, 452-457. https://doi.org/10.4028/www.scientific.net/AMM.553.452.
  33. Rajashekhar Swamy, H.M., Krishnamoorthy, A., Prabakhara, D.L. and Bhavikatti S.S. (2011), "Evaluation of the Influence of Interface Elements for Structure - Isolated Footing - Soil Interaction Analysis", Interact. Multiscale Mech., 4(1), 65-83. https://doi.org/10.12989/imm.2011.4.1.065.
  34. Reti, A.A. (1967), "Suggested design procedure for combined footing and mats. discussion of the report by ACI committee 436", J. Am, Corner. Inst., 95(3), 819-828.
  35. Teli, S., Kundhani, P., Choksi, V., Sinha, P. and K.R. Lyer, K. (2020), "Analytical study on the influence of rigidity of foundation and modulus of subgrade reaction on behaviour of raft foundation", Adv. Comput. Method. Geomech., 56., 181-194. http://springer.nl.go.kr/chapter/10.1007%2F978-981-15-0890-5_16. https://doi.org/10.1007/978-981-15-0890-5_16
  36. Terzaghi, K.V. (1955), "Evaluation of coefficient of subgrade reaction", Geotechnique, 5(4), 297-326. https://doi.org/10.1680/geot.1955.5.4.297
  37. Vesic, A.B. (1961), "Beams on elastic subgrade and winkler's hypothesis", Proceedings of the 5th International Conference on Soil Mechanics and Foundation Engineering, Paris, 845-50.
  38. Westergaard, H.M. (2014), Theory of Elasticity and Plasticity (Harvard Monographs in Applied Science), Harvard University Press, Harrisburg, PA, USA. ISBN 13: 9780674432055
  39. Worku, A. (2009), "Winkler's single-parameter subgrade model from the perspective of an improved approach of continuum-based subgrade modeling", J. EEA., 26, 11-22. https://www.ajol.info/index.php/zj/article/view/120801.
  40. Winkler, E. (1867), "Ddie lehre von elasticital und festigkeit (on elasticity and fixity)", Dominicus, Prague. https://scholar.google.com/scholar_lookup?title=Die%20Lehre%20von%20Elastizit%C3%A4t%20und%20Festigkeit&author=E.%20Winkler&publication_year=1867
  41. Ziaie Moayed, R. and Alibolandi, M. (2012), "Effect of elastic modulus varieties in depth on subgrade reaction modulus of granular soils", Proceedings of the 2nd International Conference on Geotechnique, Construction Materials and Environment, Kuala Lumpur. https://www.researchgate.net/publication/284730771_Effect_of_Elastic_Modulus_Varieties_in_Depth_on_Subgrade_Reaction_Modulus_of_Granular_Soils
  42. Zimmermann, H. (1888), "Calculation of the upper surface construction of tailway tracks", Ernst and Korn Verlag, Berlin, Germany. https://books.google.de/books?id=Y05BAQAAIAAJ&ots=YsIn25jrz4&dq=Zimmermann%2C%20H.%20(1888)%2C&lr&pg=PR3#v=onepage&q=Zimmermann,%20H.%20(1888),&f=false