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Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Том 18, 2020 Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2012003449
pages 551-565


Swantje Bargmann
Institute of Mechanics, Dortmund University of Technology, Germany
Bob Svendsen
Material Mechanics, Juelich Aachen Research Alliance, RWTH Aachen University

Краткое описание

In this work, a model for energetic hardening due to deformation incompatibility at large deformation is formulated in the context of continuum thermodynamics and extended crystal plasticity. In particular, this is carried out using a rate variational approach for the corresponding initial boundary value problem. This involves, in particular, the formulation of rate potentials whose form is determined in general by that of (i) the free energy density for energetic processes, (ii) the dissipation potential for kinetic processes, (iii) the boundary conditions, and (iv) the evolution relations for the internal variablelike quantities on which the free energy and dissipation potential depend. In the current context, these latter quantities include, for example, the inelastic local deformation and dislocation densities, in particular for geometrically necessary dislocations. The algorithmic formulation of the resulting model is carried out with the help of direct, and discrete variational, explicit time integration methods. To demonstrate that the model indeed predicts lengths-cale-dependent hardening behavior, simulation results are shown for the case of a 16-grain synthetic crystalline aggregate in two dimensions.


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