Abstract
The analysis of criteria for plasticity of soils has done. It has been established that when solving the axisymmetric problem of soil resistance of the roadway to shear, many analytical criteria give the same result with the classical two-parameter Mohr – Coulomb criterion. A modified three-parameter Mohr – Coulomb criterion is proposed, which, unlike the original criterion, contains the third parameter of the material (d). Depending on the value of this parameter (d), the modified criterion can take the form of the original Mohr – Coulomb criterion (with d = 0.5) or the original Tresca criterion (with d = 0). For all other values of the parameter (d), varying in the range of 0 > d > 0.5, the tangential stresses by the modified criterion are bigger, than the Mohr – Coulomb criterion, but smaller than the Tresca criterion. Therefore, the modified criterion covers a large range of tangential stresses, and its value can be determined from the results of tests of soils for triaxial compression. The analysis of such experimental data showed that the value of the third parameter (d) should be taken depending on the size of the axial deformation of the sample, taken as the limiting value. The value of the ultimate deformation is advisable to take in the range from 8 to 12%.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Gercog, V.N., Dolgikh, G.V., Kuzin, N.V.: Calculation criteria for road pavement evenness. Part 1. Substantiating the flatness standards of asphalt pavement. Mag. Civil Eng. 5(57), 45–57 (2015)
Aleksandrov, A.S., Semenova, T.V., Aleksandrova, N.P.: Analysis of permanent deformations in granular materials of road structures. Road Bridges 15, 263–276 (2016)
Kalinin, A.L.: Application of modified yield criteria for calculation of safe pressures on the subgrade soil. Mag. Civil Eng. 4(39), 35–45 (2014)
Chusov, V.V.: Prospects of application of empirical conditions of soil plasticity and determination of their parameters by triaxial tests. Vestnik Volgogradskogo gosudarstvennogo arhitekturno-stroiteľnogo universiteta. Seriya: Stroiteľstvo i arhitektura 42(61), 49–57 (2015)
Dudchenko, A.V., Kuznetsov, S.V.: The modified Mohr – Coulomb and Drucker – Prager models. influence of eccentricity on hysteresis loop and energy loss. Int. J. Comput. Civil Struct. Eng. 13(2), 35–44 (2017)
Hambleton, J.P., Drescher, A.: Modeling wheel-induced rutting in soils: indentation. J. Terrramech. 45(6), 201–211 (2008)
Du, Y., Gao, J., Jiang, L., Zhang, Y.: Numerical analysis of lug effects on tractive performance of off-road wheel by DEM. J. Braz. Soc. Mech. Sci. Eng. 39(6), 1977–1987 (2017)
Xu, X., Dai, Z.-H.: Numerical implementation of a modified Mohr–Coulomb model and its application in slope stability analysis. J. Modern Transp. 25(1), 40–51 (2017)
Labuz, J.F., Zang, A.: Mohr–Coulomb failure criterion. Rock Mech. Rock Eng. 45(6), 975–979 (2012)
Aleksandrov, A.S., Dolgih, G.V., Smirnov, A.V.: Improvement of calculation of stresses in the earth bed and layers of road clothes from granulated materials. Part 1. Analysis of decisions and a new method. In: IOP Conference Series: Materials Science and Engineering, vol. 463, pp. 1–11 (2018)
Badanin, A.N., Bugrov, A.K., Krotov, A.V.: The determination of the first critical load on particulate medium of sandy loam foundation. Mag. Civil Eng. 9(35), 29–34 (2012)
Steven, B.D.: The development and verification of a pavement response and performance model for unbound granular pavements. Ph.D. thesis, 291 p. University of Canterbury (2005)
Gonzalez, A.: An experimental study of the deformational and performance characteristics of foamed bitumen stabilised pavements. Ph.D. thesis, 392 p. University of Canterbury (2009)
Lunev, A., Sirotyuk, V.: Plate load test of base taken from coal ash and slag mixture in experimental tray and on experimental section of embankment. In: IOP Conference Series: Materials Science and Engineering, vol. 451, pp. 1–7 (2018)
Yu, M., Li, J., Ma, G.: Yield condition. In: Structural Plasticity. Advanced Topics in Science and Technology in China, pp. 32–63 (2003)
Higo, Y., et al.: A three-dimensional elasto-viscoplastic strain localization analysis of water-saturated clay. Geo-Research Institute, Osaka, Japan, vol. 86, pp. 3205–3240 (2006)
Oka, F.: Computational modeling of large deformations and failure of geomaterials. In: XVI ICSMGE, Osaka 2005, no. 1, pp. 47–94. Millpress (2005)
Higo, Y.: Instability and strain localization analysis of watersaturated clay by elasto-viscoplastic constitutive models. Ph.D. thesis, Kyoto University, Japan (2003)
Aleksandrov, A.S., Kalinin, A.L.: Improvement of shear strength design of a road structure Part 1 Deformations in the Mohr – Coulomb plasticity condition. Mag. Civil Eng. 59(7), 4–17 (2015)
Ma, Z., Liao, H., Dang, F.: Unified elastoplastic finite difference and its application. Appl. Math. Mech. 34(4), 457–474 (2013)
Ma, Z., Liao, H., Dang, F.: Effect of intermediate principal stress on strength of soft rock under complex stress states. J. Central South Univ. 21(4), 1583–1593 (2014)
Veiskarami, M., Ghorbani, A., Alavipour, M.: Development of a constitutive model for rockfills and similar granular materials based on the disturbed state concept. Front. Struct. Civil Eng. 6(4), 365–378 (2012)
Alejano, L.R., Bobet, A.: Drucker-prager criterion. Rock Mech. Rock Eng. 45(6), 995–999 (2012)
Zhang, L., Liu, D., Song, Q., Liu, S.: An analytical expression of reliability solution for Druker-Prager criterion. Appl. Math. Mech. 29(1), 121–128 (2008)
Zhu, J., Peng, K., Shao, J.F., Liu, H.: Improved slope safety analysis by new Druker-Prager type criterion. J. Central South Univ. 19(4), 1132–1137 (2012)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Aleksandrov, A., Dolgih, G., Kalinin, A. (2020). Equation of Limit Condition of the Three-Parameter Mohr-Coulomb Criterion. In: Murgul, V., Pasetti, M. (eds) International Scientific Conference Energy Management of Municipal Facilities and Sustainable Energy Technologies EMMFT 2018. EMMFT-2018 2018. Advances in Intelligent Systems and Computing, vol 982. Springer, Cham. https://doi.org/10.1007/978-3-030-19756-8_75
Download citation
DOI: https://doi.org/10.1007/978-3-030-19756-8_75
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-19755-1
Online ISBN: 978-3-030-19756-8
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)