Geomechanics and Engineering

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Contact interface fiber section element: shallow foundation modeling

  • Limkatanyu, Suchart (Department of Civil Engineering, Faculty of Engineering, Prince of Songkla University) ;
  • Kwon, Minho (Department of Civil Engineering, ERI, Gyeongsang National University) ;
  • Prachasaree, Woraphot (Department of Civil Engineering, Faculty of Engineering, Prince of Songkla University) ;
  • Chaiviriyawong, Passagorn (Department of Civil Engineering, Faculty of Engineering, Prince of Songkla University)
  • Received : 2011.08.11
  • Accepted : 2012.06.15
  • Published : 2012.09.25
⟨ Previous Next ⟩

Abstract

With recent growing interests in the Performance-Based Seismic Design and Assessment Methodology, more realistic modeling of a structural system is deemed essential in analyzing, designing, and evaluating both newly constructed and existing buildings under seismic events. Consequently, a shallow foundation element becomes an essential constituent in the implementation of this seismic design and assessment methodology. In this paper, a contact interface fiber section element is presented for use in modeling soil-shallow foundation systems. The assumption of a rigid footing on a Winkler-based soil rests simply on the Euler-Bernoulli's hypothesis on sectional kinematics. Fiber section discretization is employed to represent the contact interface sectional response. The hyperbolic function provides an adequate means of representing the stress-deformation behavior of each soil fiber. The element is simple but efficient in representing salient features of the soil-shallow foundation system (sliding, settling, and rocking). Two experimental results from centrifuge-scale and full-scale cyclic loading tests on shallow foundations are used to illustrate the model characteristics and verify the accuracy of the model. Based on this comprehensive model validation, it is observed that the model performs quite satisfactorily. It resembles reasonably well the experimental results in terms of moment, shear, settlement, and rotation demands. The hysteretic behavior of moment-rotation responses and the rotation-settlement feature are also captured well by the model.

Keywords

References

  1. ATC-40 (1996), Seismic Evaluation and Retrofit of Concrete Buildings, Applied Technology Council, Redwood City, California.
  2. Bellotti, R., Jamiolkowski, M., Lo Presti, D. and O'Neil, D. (1996), "Anisotropy of small strain stiffness in Ticino sand", Geotechnique, 46(1), 115-131. https://doi.org/10.1680/geot.1996.46.1.115
  3. Burnier, A.A.L., Oliveira, R.R.V., Azevedo, R.F., Azevedo, I.D. and Nogueira, C.L. (2007), "Finite element analysis of a footing load test", Proceedings of Applications of Computational Mechanics in Geotechnical Engineering, Guimaraes, Portugal.
  4. Chatzigogos, C.T., Figini, R., Pecker, A. and Salencon, J. (2011), "A macro-element formulation for shallow foundations on cohesive and frictional soils", Int. J. Num. Anal. Meth. Geomech., 35(8), 902-935. https://doi.org/10.1002/nag.934
  5. Chopra, A.K. and Yim, C.S. (1985), "Simplified earthquake analysis of structures with foundation uplift", J. Struct. Div. - ASCE, 111(4), 906-930. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:4(906)
  6. Cernica, J.N. (1995), Foundation Design, John Wiley & Sons Inc., New York.
  7. Cremer, C., Pecker, A. and Davenne, L. (2001), "Cyclic macro-element of soil-structure interaction: material and geometric nonlinearities", Int. J. Num. Anal. Meth. Geomech., 25(13), 1257-1284. https://doi.org/10.1002/nag.175
  8. Duncan, J.M. and Chang, C.Y. (1970), "Nonlinear analysis of stress and strain in soils", J. Soil Mech. Found. Div. - ASCE, 96(5), 1629-1653.
  9. Duncan, J.M. and Mokwa, R.L. (2001), "Passive earth pressure: theories and tests", J. Geotech. Geoenviron. Eng. - ASCE, 127(3), 248-257. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:3(248)
  10. EPRI (1990), Manual on Estimating Soil Properties for Foundation Design, Electric Power Research Institute, Palo Alto, California.
  11. Faccioli, E., Paolucci, R. and Vivero, G. (2001), "Investigation of seismic soil-footing interaction by large scale cyclic tests and analytical models", Proceedings of 4th International Conference on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics, San Diego, California.
  12. FEMA-273 (1997), NEHRP Guidelines and Commentary for Seismic Rehabilitation of Buildings, Washington, DC.
  13. Gajan, S. (2006), Physical and Numerical Modeling of Nonlinear Cyclic Load-Deformation Behavior of Shallow Foundations Supporting Rocking Shear Walls, Doctoral Thesis, Department of Civil and Environmental Engineering, University of California, Davis.
  14. Gazetas, G. (1991), "Displacement and soil-structure interaction under dynamic and cyclic loadings", Proceedings of 10th European Conference on Soil Mechanics and Foundation Engineering, Florence, Italy.
  15. Grange, S., Kotronis, P. and Mazars, J. (2008), "A macro-element for a circular foundation to simulate 3D soil-structure interaction", Int. J. Num. Anal. Meth. Geomech., 32(10), 1205-1227. https://doi.org/10.1002/nag.664
  16. Hansen, J.B. (1970), "A revised and extended formula for bearing capacity", Dan. Geotech. Inst. Bull. no. 28, Copenhagen, Denmark.
  17. Houlsby, G.T. and Cassidy, M.J. (2002), "A plasticity model for the behavior of footings on sand under combined loading", Geotechnique, 52(2), 117-129. https://doi.org/10.1680/geot.2002.52.2.117
  18. Huat, B.B.K. and Mohammed, T.A. (2006), "Finite element study using FE code (PLAXIS) on the geotechnical behavior of shell footings", J. Comput. Sci., 2(1), 104-108. https://doi.org/10.3844/jcssp.2006.104.108
  19. Kutter, B.L., Martin, G., Hutchinson, T.C., Harden, C., Gajan, S. and Phalen, J.D. (2003), "Study of modeling of nonlinear cyclic load-deformation behavior of shallow foundations", Pacific Earthquake Engineering Research Center Workshop Report, University of California, Davis.
  20. Meyerhof, G.C. (1963), "Some recent research on the bearing capacity of foundations", Can. Geotech. J., 1(1), 16-26. https://doi.org/10.1139/t63-003
  21. Nakaki, D.K. and Hart, G.C. (1987), Uplifting Response of Structures Subjected to Earthquake Motions, U.S.-Japan Coordinated for Masonry Building Research Report N. 2.1-3.
  22. Negro, P., Pinto, A.V., Verzeletti, G. and Magonette, G.E. (1996), "PsD test on a four-storey R/C building designed according to Eurocodes", J. Struct. Eng. - ASCE, 128(5), 595-602.
  23. Negro, P., Verzeletti, G., Molina, J., Pedretti, S., Lo Presti, D. and Pedroni, S. (1998), Large Scale Geotechnical Experiments on Soil-Foundation Interaction, Special Publication No. I.98.73, European Commission Joint Research Centre, Ispra, Italy.
  24. Negro, P., Paolucci, R., Pedretti, S. and Faccioli, E. (2000), "Large scale soil-structure interaction experiments on sand under cyclic load", Proceedings of 12th World Conference on Earthquake Engineering, Auckland, New Zealand.
  25. Nova, R. and Montrasio, L. (1991), "Settlements of shallow foundations on sand", Geotechnique, 41(2), 243-256. https://doi.org/10.1680/geot.1991.41.2.243
  26. OpenSees (2008), Open System for Earthquake Engineering Simulation, Pacific Earthquake Engineering Research Center (PEER), University of California, Berkeley.
  27. Paolucci, R. (1997), "Simplified evaluation of earthquake-induced permanent displacements of shallow foundations", J. Earthq. Eng., 1(3), 563-579.
  28. Potyondy, J.G. (1961), "Skin friction between various soils and construction materials", Geotechnique, 11(1), 243-256.
  29. Raychowdhury, P. (2008), Nonlinear Winkler-Based Shallow Foundation Model for Performance Assessment of Seismically Loaded Structures, Doctoral Thesis, Department of Civil and Environmental Engineering, University of California, San Diego.
  30. Rosebrook, K.R. (2001), Moment Loading on Shallow Foundations: Centrifuge Test Data Archives, Master Thesis, Department of Civil and Environmental Engineering, University of California, Davis.
  31. Scott, R.F. (1981), Foundation Analysis, Prentice-Hall Inc., Eaglewood Cliffs, New Jersey.
  32. SEAOC (1995), Vision 2000: Performance Based Seismic Engineering of Buildings, Structural Engineers Association of California, Sacramento, CA.
  33. Shirato, M., Paolucci, R., Kuono, R., Nakatani, S., Fukui, J., Nova, R. and di Prisco, C. (2008), "Numerical simulation of model tests of pier-shallow foundation systems subjected to earthquake loads using an elasto-uplift-plastic macro element", Soils Found., 48(5), 693-711. https://doi.org/10.3208/sandf.48.693
  34. Spacone, E., Filippou, F.C. and Taucer, F.F. (1994), "Fibre beam-column model for nonlinear analysis of R/C frames: part I- formulation", Earthq. Eng. Struc. Dyn., 25, 711-725.
  35. Taylor, P.W., Barlett, P.E. and Weissing P.R. (1981), "Foundation rocking under earthquake loading", Proceedings of 10th International Conference on Soil Mechanics and Foundation, Rotterdam, The Netherlands.
  36. Taylor, R.L. (2000), FEAP: A Finite Element Analysis Program. User manual: version 7.3, Department of Civil and Environmental Engineering, University of California, Berkeley.
  37. Terzaghi, K. (1943), Theoretical Soil Mechanics, Wiley, New York.
  38. Ugalde, J. (2007), Centrifuge Test on Bridge Columns on Shallow Square Footings, Master Thesis, Department of Civil and Environmental Engineering, University of California, Davis.
  39. Yang, Y.B., Hung, H.H. and He, M.J. (2000), "Sliding and rocking response of rigid blocks due to horizontal excitations", Struct. Eng. Mech., 9(1), 1-16. https://doi.org/10.12989/sem.2000.9.1.001

Cited by

  1. Improved nonlinear displacement-based beam element on a two-parameter foundation vol.19, pp.6, 2015, https://doi.org/10.1080/19648189.2014.965847
  2. Simplified passive earth pressure element vol.18, pp.5, 2014, https://doi.org/10.1007/s12205-014-0138-6
  3. Force-based derivation of exact stiffness matrix for beams onWinkler-Pasternak foundation vol.95, pp.2, 2015, https://doi.org/10.1002/zamm.201300030
  4. Nonlinear Winkler-based Beam Element with Improved Displacement Shape Functions vol.17, pp.1, 2012, https://doi.org/10.1007/s12205-013-1606-0
  5. Variability of subgrade reaction modulus on flexible mat foundation vol.13, pp.5, 2012, https://doi.org/10.12989/gae.2017.13.5.757
  6. Static interaction analysis between beam and layered soil using a two-parameter elastic foundation vol.11, pp.1, 2012, https://doi.org/10.1007/s40091-019-0213-9
  7. Influence of structure-soil-structure interaction on foundation behavior for two adjacent structures: Geo-centrifuge experiment vol.19, pp.5, 2012, https://doi.org/10.12989/gae.2019.19.5.407
  8. Seismic response of bridge pier supported on rocking shallow foundation vol.21, pp.1, 2020, https://doi.org/10.12989/gae.2020.21.1.073
  9. Nonlinear flexibility-based beam element on Winkler-Pasternak foundation vol.24, pp.4, 2012, https://doi.org/10.12989/gae.2021.24.4.371