Elasto-Plastic Torsion of Axisymmetric Bars

by Rafik Y. Itani, (A.M.ASCE), Asst. Prof. of Civ. and Environmental Engrg.; Washington State Univ., Pullman, Wash.,

Serial Information: Journal of the Engineering Mechanics Division, 1979, Vol. 105, Issue 1, Pg. 1-12

Document Type: Journal Paper


A numerical approach for solving the elasto-plastic torsion problem of axisymmetric bars is presented. The method uses finite elements and a minimum rate principle of plasticity to provide a complete stress history under the action of a quasi-static monotonically increasing angle of twist. The use of finite elements and a stress function formulation reduce the minimum rate principle to a quadratic programming problem. The developed method is shown to be quite general in application and to provide good comparisons with available solutions.

Subject Headings: Finite element method | Elastoplasticity | Torsion | Axisymmetry | Bars (structure) | Stress history | Plasticity | Statics (mechanics)

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