Elongation upon torsion in a theory for the inelastic behavior of metals
- 1 February 1980
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 51 (2) , 953-958
- https://doi.org/10.1063/1.327674
Abstract
The torsion of a thin‐walled cylinder is studied using the low‐temperature or visco‐plastic limit of Hart’s state variable theory for the inelastic behavior of metals. For values of the shear stress lower than the ’’hardness’’ of the material, reversible elongation is found to accompany the recoverable twist. For shear stress exceeding the hardness there are, in addition, a permanent twist and elongation. These predictions agree qualitatively with existing experiments. Detailed quantitative results, for several loading histories, are obtained for nickel.This publication has 5 references indexed in Scilit:
- Constitutive Relations for the Nonelastic Deformation of MetalsJournal of Engineering Materials and Technology, 1976
- Anisotropy in Plastic TorsionJournal of Basic Engineering, 1972
- Second order effects in dissipative mediaProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1966
- Non-Newtonian effects in steady motion of some idealized elastico-viscous liquidsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1958
- On the changes in the dimensions of a steel wire when twisted, and on the pressure of distortional waves in steelProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1912