Non-linear mechanical response of various metals. III. Swift effect considered in relation to the stress-strain behaviour in simple compression, tension and torsion
- 11 March 1977
- journal article
- Published by IOP Publishing in Journal of Physics D: Applied Physics
- Vol. 10 (4), 553-569
- https://doi.org/10.1088/0022-3727/10/4/018
Abstract
For pt.II see ibid., vol.10, no.4, p.533 (1977). The correlation of the stress-strain behaviour in simple compression, tension and torsion is considered for various metals in relation to the Swift (1947) effect, here observed as the permanent lengthening of a tubular specimen along the principal axis about which it is being twisted. The proposed correlation is based on an incremental-type constitutive equation for an isotropic incompressible strain-hardening elastic-plastic solid with large deformation. Formulation of the proposed constitutive equation involves a modified Mises yield condition and the assumption that the total deformation gradient can be decomposed into a matrix product of the local elastic and plastic deformation tensors. Since the Swift effect appears to be absent at high strain rates, the metals of present interest should appear stronger at high strain rates, a conclusion in accord with the observation that the dynamic yield stress is frequently observed to be higher than the static yield stress in all three simple modes of deformation.Keywords
This publication has 11 references indexed in Scilit:
- Non-linear mechanical response of various metals. II. Permanent length changes in twisted tubesJournal of Physics D: Applied Physics, 1977
- Non-linear mechanical response of various metals. I. Dynamic and static response to simple compression, tension and torsion in the as-received and annealed statesJournal of Physics D: Applied Physics, 1977
- Second order effects in the theory of plasticityActa Mechanica, 1969
- Second-order elongation of metal tubes in cyclic torsionInternational Journal of Solids and Structures, 1968
- On second-order strain accumulation in aluminum in reversed cyclic torsion at elevated temperaturesInternational Journal of Solids and Structures, 1967
- Second order effects in dissipative mediaProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1966
- Relation of Experiments to Mathematical Theories of PlasticityJournal of Applied Mechanics, 1949
- Strain Hardening Under Combined StressesJournal of Applied Physics, 1945
- The plastic distortion of metalsPhilosophical Transactions of the Royal Society A, 1931
- Versuche ber den Einflu der mittleren Hauptspannung auf das Flie en der Metalle Eisen, Kupfer und NickelThe European Physical Journal A, 1926