Elastic-plastic behaviour of polycrystalline metals and composites
Open Access
- 20 October 1970
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 319 (1537), 247-272
- https://doi.org/10.1098/rspa.1970.0177
Abstract
Stress-strain behaviour of polycrystals and composites is explored with self-consistent models based on the elastic-plastic properties of the single crystal constituents. Based on Hill's (1965a) model, tensile stress-strain curves and the associated yield surfaces are calculated for polycrystals and composites comprised of face-centred cubic crystals. Single crystal elastic anisotropy and strain hardening are taken into account. Stress-strain behaviour at a corner of the yield surface is determined with the model proposed by Kroner (1961) and Budiansky & Wu (1962).Keywords
This publication has 13 references indexed in Scilit:
- The essential structure of constitutive laws for metal composites and polycrystalsJournal of the Mechanics and Physics of Solids, 1967
- Work hardening of dispersion-hardened crystalsPhilosophical Magazine, 1966
- Generalized constitutive relations for incremental deformation of metal crystals by multislipJournal of the Mechanics and Physics of Solids, 1966
- On the elastic moduli of some heterogeneous materialsJournal of the Mechanics and Physics of Solids, 1965
- A self-consistent mechanics of composite materialsJournal of the Mechanics and Physics of Solids, 1965
- Continuum micro-mechanics of elastoplastic polycrystalsJournal of the Mechanics and Physics of Solids, 1965
- Plastic stress-strain relations of F.C.C polycrystalline metals hardening according to Taylor's ruleJournal of the Mechanics and Physics of Solids, 1964
- Progress in solid mechanics: Vol. 1. Edited by I. N. Sneddon and R. Hill, North-Holland Publishing Company, Amsterdam, 1960, 448 pp., 100sJournal of the Mechanics and Physics of Solids, 1961
- The determination of the elastic field of an ellipsoidal inclusion, and related problemsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1957
- XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses.The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1951