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Generation and evolution of inelastic microstructures - an overview

Hackl, Klaus and Hoppe, Ulrich and Kochmann, Dennis M. (2012) Generation and evolution of inelastic microstructures - an overview. GAMM-Mitteilungen, 35 (1). pp. 91-106. ISSN 0936-7195. doi:10.1002/gamm.201210007.

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In this paper we give an overview on the modeling of inelastic microstructures using variational methods. We start by discussing the underlying variational principles for inelastic materials, derive evolution equations for internal variables, and introduce the concept of condensed energy. As a mathematical prerequisite we review the variational calculus of nonconvex potentials and the notion of relaxation. We use these instruments in order to study the initiation of plastic microstructures. Here we focus on a model of single-slip crystal plasticity. Afterwards we move on to model the evolution of microstructures. We introduce the concept of essential microstructures and the corresponding relaxed energies and dissipation potentials, and derive evolution equations for microstructure parameters. We then present a numerical scheme by means of which the microstructure development can be computed, and show numerical results for particular examples.

Item Type:Article
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Kochmann, Dennis M.0000-0002-9112-6615
Additional Information:© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim. Received 25 November 2011. Published online 15 March 2012.
Subject Keywords:microstructures, inelastic materials, variational methods
Issue or Number:1
Classification Code:MSC (2000): 74C15, 49S05
Record Number:CaltechAUTHORS:20120914-075526590
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Official Citation:Hackl, K., Hoppe, U. and Kochmann, D. M. (2012), Generation and evolution of inelastic microstructures - an overview. GAMM-Mitteilungen, 35: 91–106. doi: 10.1002/gamm.201210007
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:34078
Deposited By: Tony Diaz
Deposited On:14 Sep 2012 17:35
Last Modified:09 Nov 2021 23:06

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