Elastic-Plastic Torsion of Nonhomogeneous Bars

by Carl T. Herakovich, (M.ASCE), Assoc. Prof. of Engrg. Sci. and Mechanics; Virginia Polytechnic Inst. and State Univ., Blacksburg, Va.,
Rafik Y. Itani, (M.ASCE), Asst. Prof. of Civ. Engrg.; Washington State Univ., Pullman, Wash.,

Serial Information: Journal of the Engineering Mechanics Division, 1976, Vol. 102, Issue 5, Pg. 757-769

Document Type: Journal Paper


This paper considers the mathematical formulation for elastic-plastic torsion of uniform and nonuniform nonhomogeneous bars subjected to monotonically increasing angle of twist. Each material in a given bar is assumed to be isotropic and to behave in an elastic perfectly-plastic manner. The method of solution employs a statically admissible minimum rate principle of plasticity, finite elements, and stress function formulations of the torsion problems to reduce the solutions for stress-like quantities to a problem in quadratic programming. Typical results are presented for a nonhomogeneous nonuniform bar of square cross section and a nonhomogeneous nonuniform bar composed of two thick-walled cylinders of different material properties and different diameters.

Subject Headings: Elastic analysis | Torsion | Homogeneity | Bars (structure) | Finite element method | Isotropy | Plasticity | Computer programming

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