TECHNICAL NOTES
Jul 3, 2009

Influence of Nonlinearity on the Stress Distribution in the Soil—Application to Road Engineering Problems

Publication: Journal of Transportation Engineering
Volume 136, Issue 1

Abstract

The Boussinesq theory for the distribution of stresses in a half-space resulting from surface loads is largely used in road engineering. It is based on the assumption of linear-elastic homogeneous isotropic half-space for the soil media. Since the soil exhibits nonlinear and irreversible behavior, it is of major interest to study the validity of this theory for nonlinear response of soils. This paper investigates this issue by comparing the elastic stress distribution to that obtained using respectively nonlinear elastic and elastoplastic finite difference analyses. Results show that nonlinear elasticity does not influence significantly the stress distribution while plasticity reduces the attenuation of the vertical stress in the soil mass, which means that Boussinesq solution underestimates the stresses in an area which contributes to the soil settlement. An important discrepancy is also observed in horizontal stress for the case of homogeneous and multilayered soil when plasticity is considered.

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References

Boussinesq, J. (1885). Applications des potentiels à l’étude de l’équilibre et mouvement des solides elastiques, Gauthier-Villard, Paris.
Burmister, D. M. (1945a). “The general theory of stresses and displacements in layered systems. I.” J. Appl. Phys., 16(2), 89–94.
Burmister, D. M. (1945b). “The general theory of stresses and displacements in layered systems. II.” J. Appl. Phys., 16(3), 126–127.
FLAC3D user’s manual V3.0. (2005). Itasca Consulting Group Inc., Minneapolis.
Jardine, R. J., Potts, D. M., St. John, H. D., and Hight, D. W. (1991). “Some practical applications of a non-linear ground model.” Proc., 10th European Conf. on Soil Mechanics and Foundation Engineering, Vol. 1, Florence, 223–228.
Nilsson, R. N., Oost, I., and Hopman, P. C. (1996). “Visco-elastic analysis of full scale pavements: Validation of VEROAD.” Transportation Research Record. 1539, TRB, National Research Council, Washington, D.C.
Prandtl L. (1920). “Eindringungsfestigkeit und festigkeit von schneiden.” Z. Angew. Math. Mech., 1(15), 15–20.
Sadek, M., and Shahrour, I. (2007). “Use of the Boussinesq solution in geotechnical and road engineering: Influence of plasticity.” C. R. Mec., 335, 516–521.
Schiffman, R. L. 1962. “General solution of stresses and displacements in layered elastic systems.” Int. Conf. on the Structural Design of Asphalt Pavement, Proc., Univ. of Michigan, Ann Arbor, Mich.
Schmertmann, J. (2005). “Stress diffusion experiment in sand.” J. Geotech. Geoenviron. Eng., 131(1), 1–10.
Siddharthan, R. V., Yao, J., and Sebaaly, P. (1996). “Field verification of a moving load model for pavement response.” Transportation Research Record. 1540, TRB, National Research Council, Washington, D.C.
Ullidtz, P. (1987). Pavement analysis, Elsevier Science, Amsterdam.
Ullidtz, P., Askegaard, V., and Sjölin, F. O. (1996). “Normal stresses in a granular material under FWD loading.” Transportation Record. 1540, TRB, National Research Council, Washington, D.C.
Vrettos, C. (1998). “The Boussinesq problem for soils with bounded non-homogeneity.” Int. J. Numer. Analyt. Meth. Geomech., 22(8), 655–669.
Zhang, W., Ullidtz, P., and Macdonald, R. (1998). “Pavement subgrade performance study, Part II: Modeling pavement response and prediction pavement performance.” Rep. No. 87, Danish Road Institute, Roskilde, Denmark.

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Information

Published In

Go to Journal of Transportation Engineering
Journal of Transportation Engineering
Volume 136Issue 1January 2010
Pages: 77 - 83

History

Received: Feb 23, 2009
Accepted: Jun 18, 2009
Published online: Jul 3, 2009
Published in print: Jan 2010

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Authors

Affiliations

Marwan Sadek [email protected]
Associate Professor, Laboratory of Mechanics of Lille, UMR CNRS 8107, Univ. of Sciences and Technologies of Lille, Villenuve d’Ascq 59655, France. E-mail: [email protected]
Hussein Mroueh [email protected]
Associate Professor, Laboratory of Mechanics of Lille, UMR CNRS 8107, Univ. of Sciences and Technologies of Lille, Villenuve d’Ascq 59655, France (corresponding author). E-mail: [email protected]
Isam Shahrour [email protected]
Professor, Laboratory of Mechanics of Lille, UMR CNRS 8107, Univ. of Sciences and Technologies of Lille, France. E-mail: [email protected]

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