Finite element limit analysis: Difference between revisions
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Revision as of 23:23, 10 January 2010
Finite Element Limit Analysis (FELA) (see e.g.[1],[2],[3]) utilises optimisation techniques to directly compute the upper or lower bound plastic collapse load (or limit load) for a mechanical system rather than time stepping to a collapse load, as might be undertaken with conventional non-linear finite element techniques. The problem may be formulated in either a kinematic or equilibrium form.
The technique has been utilised most significantly in the field of soil mechanics for the determination of collapse loads for geotechnical problems (e.g. slope stability analysis). An alternative technique which may be used to undertake similar direct plastic collapse computations using optimization is Discontinuity layout optimization.
References
- ^ Lysmer, J. (1970). Limit analysis of plane problems in soil mechanics. Journal of the Soil Mechanics and Foundations Division ASCE 96(4), 1311–1334.
- ^ Sloan, S. (1988). Lower bound limit analysis using finite elements and linear programming. Int. J. Num. Anal. Meth. in Geomech. 12(4), 61–77.
- ^ Makrodimopoulos, A. and C. Martin (2006). Lower bound limit analysis of cohesive-frictional materials using second-order cone programming. Int. J. Num. Meth. in Eng. 6(4), 604–634.