Modeling microbending of thin films through discrete dislocation dynamics, continuum dislocation theory, and gradient plasticity

Aifantis KE, Weygand D, Motz C, Nikitas N, Zaiser M (2012)

Publication Status: Published

Publication Type: Journal article

Publication year: 2012

Journal

Journal of Materials Research Cambridge University Press (CUP) / Materials Research Society

Publisher: CAMBRIDGE UNIV PRESS

Book Volume: 27

Pages Range: 612-618

Journal Issue: 3

DOI: 10.1557/jmr.2011.390

Abstract

Constitutive models that describe crystal microplasticity in a continuum framework can be envisaged as average representations of the dynamics of dislocation systems. Thus, their performance needs to be assessed not only by their ability to correctly represent stress-strain characteristics on the specimen scale but also by their ability to correctly represent the evolution of internal stress and strain patterns. Three-dimensional discrete dislocation dynamics (3D DDD) simulations provide complete knowledge of this evolution, and averages over ensembles of statistically equivalent simulations can therefore be used to assess the performance of continuum models. In this study, we consider the bending of a freestanding thin film. From a continuum mechanics point of view, this is a one-dimensional (1D) problem as stress and strain fields vary only in one dimension. From a dislocation plasticity point of view, on the other hand, the spatial degrees of freedom associated with the bending and piling up of dislocations are essential. We compare the results of 3D DDD simulations with those obtained from a simple 1D gradient plasticity model and a more complex dislocation-based continuum model. Both models correctly reproduce the nontrivial strain patterns predicted by 3D DDD for the microbending problem.

Authors with CRIS profile

Michael Zaiser Lehrstuhl für Werkstoffsimulation

Involved external institutions

Karlsruhe Institute of Technology (KIT) DE Germany (DE) University of Arizona US United States (USA) (US) University of Edinburgh GB United Kingdom (GB) Österreichische Akademie der Wissenschaften AT Austria (AT)

How to cite

APA:

Aifantis, K.E., Weygand, D., Motz, C., Nikitas, N., & Zaiser, M. (2012). Modeling microbending of thin films through discrete dislocation dynamics, continuum dislocation theory, and gradient plasticity. Journal of Materials Research, 27(3), 612-618. https://dx.doi.org/10.1557/jmr.2011.390

MLA:

Aifantis, Katerina E., et al. "Modeling microbending of thin films through discrete dislocation dynamics, continuum dislocation theory, and gradient plasticity." Journal of Materials Research 27.3 (2012): 612-618.

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