Abstract
There is abundant evidence that the coefficient of earth pressure at rest, K0, is somehow related to the internal friction angle of soils. Jaky’s semi-empirical formula is considered to be a sufficiently precise relationship for practical purposes, although its derivation includes some arbitrary approximations. Alternatively, granular mechanics may be used to obtain a rational relationship between these two quantities, based on the assumption that stresses are transmitted as conjugated chains of forces along the edges of an octahedral lattice. Two experimental extreme conditions of an infinite soil slope are considered: the state at rest, when its inclination is zero, and the plastic state, when its inclination equals the friction angle. Eliminating the angle of the assemblage of grains, a relationship between K0 and the angle of friction is directly achieved in a very simple way. As shear stresses are forbidden in the direction of the ground level lines, there are only two admissible positions of the base of the octahedral lattice: the diagonal and the parallel to the slope, which are related to the triaxial and biaxial compression tests, respectively. The relationships thus obtained are supported by the experimental data reported by several authors.
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References
Jaky, J.: The coefficient of earth pressure at rest. J. Soc. Hung. Archit. Eng. 78, 355–388 (1944)
Pantelidis, L.: The generalized coefficients of earth pressure: a unified approach. Appl. Sci. 9, 5291 (2019)
Rowe, P.H.: A stress-strain theory for cohesionless soil with applications to earth pressures at rest and moving walls. Geotechnique 4, 70–88 (1954)
Federico, A., Elia, G., Germano, V.: A short note on the earth pressure and mobilized angle of internal friction in one-dimensional compression of soils. J. Geoeng. 3(1), 41–46 (2008)
Hendron, A.J., Jr.: The behavior of sand in one-dimensional compression. Ph.D. thesis in Civil Engineering, University of Illinois – Urbana (1963)
Terzaghi, K.: Theoretical Soil Mechanics. Wiley, New Jersey (1943)
Seed, H.B., Goodman, R.E.: Earthquake stability of slopes of cohesionless soils. Proc. ASCE 90(SM6), 43–73 (1964)
Yanqui, C.: Statics of gravitating discontinua. M.Sc. thesis, University of South Carolina (1982)
Holtz, R.D., Kovacs, W.D.: An Introduction to Geotechnical Engineering. Prentice Hall, Englewood Cliffs (1981)
Hayat, T.M.: The coefficient of earth pressure at rest. Ph. D. thesis, University of Illinois (1992)
Hayashi, H., Yamazoe, N., Mitachi, T., Tanaka, H., Nishimoto, S.: Coefficient of earth pressure at rest for normally and overconsolidated peat ground in Hokkaido area. Soils Found. 52(2), 299–311 (2012)
Lade, P.V., Duncan, J.M.: Cubical triaxial tests on cohesionless soil. J. Soil Mech. Found. Div. 99, 793–811 (1973)
Szypcio, Z.: Relation between the friction angle of sand at triaxial compression and triaxial extension and plane strain conditions. Goesciences 10, 29 (2020)
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Yanqui, C. (2023). The Coefficient of Earth Pressure at Rest by Means of the Granular Mechanics. In: Barla, M., Di Donna, A., Sterpi, D., Insana, A. (eds) Challenges and Innovations in Geomechanics. IACMAG 2022. Lecture Notes in Civil Engineering, vol 288. Springer, Cham. https://doi.org/10.1007/978-3-031-12851-6_21
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DOI: https://doi.org/10.1007/978-3-031-12851-6_21
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