Affiliation:
1. Alek and Research Associates, Los Alamos, NM 87544, USA
Abstract
The tensor representation method (TRM) offers tensorial tools suitable for streamlining the development of constitutive models. The TRM reduces the empiricism of phenomenological descriptions and provides physics-based justifications for the tensorial construction of material models. The method is presented in a stepwise manner, thus giving the reader an opportunity to appreciate the details of the concept. The selected material is magnesium alloy AZ31B (wt% composition: Mg 95.8, Al 3.0, Zn 1.0, and Mn 0.2), and the choice is not coincidental. The hexagonal close-packed (hcp) structure of rolled sheets exhibits highly directional plastic flow, while the crystallographic reorientations add to the complexity of the material’s behavior. A generic structure of the deformation mechanisms is determined first. In the next step, the TRM tools enable the coupling of the mechanisms with proper stimuli. Lastly, the thermo-mechanical flow rules for plasticity and twinning complete the constitutive description. The model predictions for Mg AZ31B have been compared with experimental data, demonstrating a desirable level of predictability.
Subject
Inorganic Chemistry,Condensed Matter Physics,General Materials Science,General Chemical Engineering
Reference30 articles.
1. Micromechanical Study of Ductile Polycrystalline Materials;Zubelewicz;J. Mech. Phys. Solids,1993
2. Dynamic behavior and fracture of materials;Zubelewicz;Int. J. Rock Mech. Min. Sci.,2014
3. Fracture model for cemented aggregates;Zubelewicz;AIP Adv.,2013
4. Twin boundaries showing very large deviations from the twinning plane;Zhang;Scr. Mater.,2012
5. Zhang, D., Jiang, L., Zheng, B., Schoenung, J.M., Mahajan, S., Lavernia, E.J., Beyerlein, I.J., Schoenung, J.M., and Lavernia, E.J. (2016). Materials Science and Materials Engineering, Elsevier Inc.