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- Publisher
- Springer Journals
- Copyright
- 2017 Springer Science+Business Media B.V.
- ISSN
- 1385-2000
- eISSN
- 1573-2738
- DOI
- 10.1007/s11043-017-9356-x
- Publisher site
- See Article on Publisher Site
Abstract
Abstract To characterize the visco–elasto-plastic behavior of metals and alloys we propose a new constitutive equation based on a time–space fractional derivative. The rheological representative of the model can be analogous to that of the Bingham–Maxwell model, while the dashpot element and sliding friction element are replaced by the corresponding fractional elements. The model is applied to describe the constant strain rate, stress relaxation and creep tests of different metals and alloys. The results suggest that the proposed simple model can describe the main characteristics of the experimental observations. More importantly, the model can also provide more accurate predictions than the classic Bingham–Maxwell model and the Bingham–Norton model.
Journal
Mechanics of Time-Dependent Materials – Springer Journals
Published: Feb 1, 2018
Keywords: Solid Mechanics; Classical Mechanics; Characterization and Evaluation of Materials; Polymer Sciences