Enhanced approach to consistency in gradient-dependent plasticity
Article
Article Title | Enhanced approach to consistency in gradient-dependent plasticity |
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ERA Journal ID | 4147 |
Article Category | Article |
Authors | Chen, G. (Author) and Baker, Graham (Author) |
Journal Title | Advances in Structural Engineering: an international journal |
Journal Citation | 7 (3), pp. 279-283 |
Number of Pages | 5 |
Year | 2004 |
Publisher | SAGE Publications Ltd |
Place of Publication | Brentwood, Essex, UK |
ISSN | 1369-4332 |
2048-4011 | |
Digital Object Identifier (DOI) | https://doi.org/10.1260/136943304323213229 |
Abstract | This note proposes a modification of gradient-dependent plasticity to improve convergence. In gradient-dependent plasticity, the consistency condition, which results in a differential equation with respect to the plastic multiplier, is solved simultaneously with the equilibrium equation. In each iteration, the consistency condition is not really satisfied and the stress is generally not on the yield surface; this results in poor convergence. A modification is proposed, in which gradient-dependent plasticity is recast into the classical plasticity framework and a strict stress mapping strategy is established. Instead of solving a differential equation simultaneously with the equilibrium equation, the plastic multiplier is solved by minimizing a functional separately. The consistency condition can be satisfied and the stress is mapped back to the yield surface. |
Keywords | Gradient-dependent plasticity; gstress mapping strategy; consistency condition; minimization strategy; shear band |
ANZSRC Field of Research 2020 | 400510. Structural engineering |
490302. Numerical analysis | |
400505. Construction materials | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Department of Agricultural, Civil and Environmental Engineering |
Faculty of Engineering and Surveying |
https://research.usq.edu.au/item/9y77w/enhanced-approach-to-consistency-in-gradient-dependent-plasticity
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