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Title: An implicit tensorial gradient plasticity model - Formulation and comparison with a scalar gradient model
Authors: Poh, L.H.
Peerlings, R.H.J.
Geers, M.G.D.
Swaddiwudhipong, S. 
Keywords: Finite elements
Gradient plasticity
Higher-order continua
Size effects
Issue Date: 1-Sep-2011
Citation: Poh, L.H., Peerlings, R.H.J., Geers, M.G.D., Swaddiwudhipong, S. (2011-09-01). An implicit tensorial gradient plasticity model - Formulation and comparison with a scalar gradient model. International Journal of Solids and Structures 48 (18) : 2595-2604. ScholarBank@NUS Repository.
Abstract: Many rate-independent models for metals utilize the gradient of effective plastic strain to capture size-dependent behavior. This enhancement, sometimes termed as "explicit" gradient formulation, requires higher-order tractions to be imposed on the evolving elasto-plastic boundary and the resulting numerical framework is complicated. An "implicit" scalar gradient model was thus developed in Peerlings [Peerlings, R.H.J.; 2007. On the role of moving elastic-plastic boundaries in strain gradient plasticity. Model. Simul. Mater. Sci. Eng. 15, 109-120] that has only C0 continuity requirements and its implementation is straightforward. However, both explicit and implicit scalar gradient models can be problematic when the effective plastic strains do not have smooth profiles. To address this limitation, an implicit tensorial gradient model is proposed in this paper based on the generalized micromorphic framework. It is also demonstrated that the scalar and tensorial implicit gradient models give similar results when the effective plastic strains fluctuate smoothly. © 2011 Elsevier Ltd. All rights reserved.
Source Title: International Journal of Solids and Structures
ISSN: 00207683
DOI: 10.1016/j.ijsolstr.2011.05.019
Appears in Collections:Staff Publications

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