Limit Analysis of Stability of Slopes

by Wilfred F. Chen, (A.M.ASCE), Asst. Prof.; Dept. of Civ. Engrg., Lehigh Univ., Bethlehem, PA,
M. W. Giger, Res. Asst. of Geotechnical Div.; Fritz Engrg. Lab., Lehigh Univ., Bethlehem, PA,

Serial Information: Journal of the Soil Mechanics and Foundations Division, 1971, Vol. 97, Issue 1, Pg. 19-26

Document Type: Journal Paper


The upper bound theorem of limit analysis is applied to obtain complete numerical solutions for the critical height of slopes. A logarithmic spiral mechanism where the failure surface may pass below the toe is assumed in the analysis. The analysis includes the existing limit equilibrium solutions as well as the previously obtained limit analysis solutions as a special case, so that it may be considered a generalization of all these previous solutions. The results found are practically identical to those obtained by the existing limit equilibrium procedures.

Subject Headings: Limit analysis | Slope stability | Failure analysis | Limit equilibrium | Numerical analysis | Slopes

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