Home List of Titles A pressure-sensitive yield criterion under a non-associative flow rule for sheet metal forming
Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/191928
- A pressure-sensitive yield criterion under a non-associative flow rule for sheet metal forming
- Stoughton, Thomas B.; Yoon, Jeong-Whan
- Spitzig and Richmond [Acta Metall. 32 (1984) 457] proposed that plastic yielding of both polycrystalline and single crystals of steel and aluminum alloys shows a significant sensitivity to hydrostatic pressure. They further showed that under the associated flow rule, this pressure sensitivity leads to a plastic dilatancy, i.e. permanent volume change, that is at least an order of magnitude larger than observed. Indeed, the plastic dilatancy for most materials is on the order of the measurement error and must be zero in the absence of phase change and significant void nucleation during plastic deformation. A non-associated flow rule based on a pressure sensitive yield criterion with isotropic hardening is proposed in this paper that is consistent with the Spitzig and Richmond data and analysis. The significance of this work is that the model distorts the shape of the yield function in tension and compression, fully accounting for the strength differential effect (SDE). This capability is important because the SDE is sometimes described through kinematic hardening models using only pressure insensitive yield criteria.
- Publication type
- Journal article
- International Journal of Plasticity, Vol. 20, no. 4-5 (Apr-May 2004), pp. 705-731
- Publication year
- FOR Code(s)
- 0905 Civil Engineering; 0912 Materials Engineering; 0913 Mechanical Engineering
- Anisotropic material; Constitutive behavior; Finite element method; Non-associated flow rule; Sheet formin
- Publisher URL
- Copyright © 2003 Elsevier Ltd. All rights reserved.
- Peer reviewed