Slope Stability Analysis by Peridynamic Theory


Article Preview

Peridynamic simulations have been carried out to perform the slope stability analysis. A slope is first modelled with discretized particles in 2D. Then the non-ordinary state-based Peridynamic model is utilized. In order to obtain a more realistic behavior of the soil, Drucker-Prager constitutive model is used to describe the mechanic properties of soil. Results show great agreements with the FEM results, while provides the dynamic slide progress in the post-failure process.



Edited by:

Xiangdong Zhang and Bin Zhang




X. Lai et al., "Slope Stability Analysis by Peridynamic Theory", Applied Mechanics and Materials, Vols. 744-746, pp. 584-588, 2015

Online since:

March 2015




* - Corresponding Author

[1] Wolmar Fellenius. Calculation of the stability of earth dams. In Transactions of the 2nd congress on large dams, Washington, DC, volume 4, pages 445–463, (1936).

[2] Janbu, N. Stability analysis of slopes with dimensionless parameters. Harvard Soil Mechanics Series No. 46, Harvard University Press, Cambridge, MA.

[3] Bishop, Alan W. The use of the slip circle in the stability analysis of slopes. Géotechnique, 5(1): 7–17, (1955).

[4] Morgenstern, N. R. and Price, V. E. The analysis of the stability of general slip surfaces. Géotechnique, 15(1): 79–93, (1965).

[5] Spencer, E. A method of analysis of the stability of embankments assuming parallel inter-slice forces. Géotechnique, 17(1): 11–26, (1967).


[6] Baker, R. Determination of the critical slip surface in slope stability computations. International Journal for Numerical and Analytical Methods in Geomechanics, 4(4): 333–359, (1980).


[7] Duncan, J. State of the art: Limit equilibrium and finite-element analysis of slopes. 122(7): 577–596.

[8] Griffiths, D. V. & Lane, P. A. Slope stability analysis by finite elements. Géotechnique 49, 387–403 (1999).


[9] Griffiths, D. V. in Advanced Numerical Applications and Plasticity in Geomechanics (eds. Griffiths, V. D. & Gioda, G. ) 159–229 (Springer Vienna, 2001).


[10] Engineers, U. A. C. of. Engineering and Design: Slope Stability. (Military Bookshop, 2003).

[11] Sloan, S. W. Geotechnical stability analysis. Géotechnique 63, 531–571 (2013).

[12] Brandon, T. L., Stephen G. Wright & Thomas L. Brandon. Soil Strength and Slope Stability. (Wiley, 2014).

[13] Silling, S. A., Epton, M., Weckner, O., Xu, J. & Askari, E. Peridynamic States and Constitutive Modeling. J Elasticity 88, 151–184 (2007).


[14] Foster, J. T., Silling, S. A. & Chen, W. W. Viscoplasticity using peridynamics. International Journal for Numerical Methods in Engineering 81, 1242–1258 (2010).

[15] D.C. Drucker and W. Prager. Soil mechanics and plastic analysis or limit design. Quarterly of Applied Mathematics, 10: 157–165, (1952).