CUED Publications database

Guidelines for constructing strain gradient plasticity theories

Fleck, NA and Hutchinson, JW and Willis, JR (2015) Guidelines for constructing strain gradient plasticity theories. Journal of Applied Mechanics, Transactions ASME, 82. ISSN 0021-8936

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© 2015 by ASME. Issues related to the construction of continuum theories of strain gradient plasticity which have emerged in recent years are reviewed and brought to bear on the formulation of the most basic theories. Elastic loading gaps which can arise at initial yield or under imposition of nonproportional incremental boundary conditions are documented and analytical methods for dealing with them are illustrated. The distinction between unrecoverable (dissipative) and recoverable (energetic) stress quantities is highlighted with respect to elastic loading gaps, and guidelines for eliminating the gaps are presented. An attractive gap-free formulation that generalizes the classical J2 flow theory is identified and illustrated.

Item Type: Article
Divisions: Div C > Materials Engineering
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:45
Last Modified: 19 Jul 2018 08:42