Enhanced approach to consistency in gradient-dependent plasticity

Chen, G. ORCID: https://orcid.org/0000-0001-8460-9224 and Baker, Graham (2004) Enhanced approach to consistency in gradient-dependent plasticity. Advances in Structural Engineering, 7 (3). pp. 279-283. ISSN 1369-4332

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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.

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Item Type:	Article (Commonwealth Reporting Category C)
Refereed:	Yes
Item Status:	Live Archive
Additional Information:	Awaiting Author and Publisher versions from Author. Deposited with blanket permission of Publisher.
Faculty/School / Institute/Centre:	Current - USQ Other
Faculty/School / Institute/Centre:	Current - USQ Other
Date Deposited:	01 Dec 2007 06:42
Last Modified:	02 Jul 2013 22:53
Uncontrolled Keywords:	Gradient-dependent plasticity; gstress mapping strategy; consistency condition; minimization strategy; shear band
Fields of Research (2008):	09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis 09 Engineering > 0905 Civil Engineering > 090503 Construction Materials
Fields of Research (2020):	40 ENGINEERING > 4005 Civil engineering > 400510 Structural engineering 49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490302 Numerical analysis 40 ENGINEERING > 4005 Civil engineering > 400505 Construction materials
Identification Number or DOI:	https://doi.org/10.1260/136943304323213229
URI:	http://eprints.usq.edu.au/id/eprint/3455

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