Limit Analysis of Plane Problems in Soil Mechanics

by John Lysmer, (M.ASCE), Asst. Prof. of Civ. Engrg.; Univ. of California, Berkeley, CA,

Serial Information: Journal of the Soil Mechanics and Foundations Division, 1970, Vol. 96, Issue 4, Pg. 1311-1334

Document Type: Journal Paper


A computer method is developed for failure analysis of plane problems in soil mechanics. It is assumed that the soil obeys the Mohr-Coulomb failure criterion and that all stresses vary linearly within each element of a triangular mesh which spans the zone under investigation. An optimal statically admissible stress field corresponding to a lower bound solution is isolated by the method of linear programming. The method has been applied to several bearing capacity and earth pressure problems.

Subject Headings: Failure analysis | Limit analysis | Soil analysis | Linear functions | Soil pressure | Computer analysis | Soil stress | Mesh generation

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