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Modeling of microstructural pattern formation in crystal plasticity
Author(s) -
Klusemann Benjamin
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610169
Subject(s) - crystal plasticity , microstructure , plasticity , convexity , materials science , work (physics) , regular polygon , relaxation (psychology) , elastic energy , slip (aerodynamics) , statistical physics , mechanics , geometry , thermodynamics , physics , mathematics , composite material , psychology , financial economics , economics , social psychology
Abstract The mechanical behavior of most materials is dictated by a present or emergent underlying microstructure which is a direct result of different, even competing physical mechanisms occurring at lower length scales. In this work, energetic microstructure interaction via different non‐convex contributions to the free energy in metals is modeled. For this purpose rate dependent gradient extended crystal plasticity models at the glide‐system level are formulated. The non‐convex energy serves as the driving force for the emergent microstructure. The competition between the kinetics and the relaxation of the free energy is an essential feature of the model. Non‐convexity naturally arises in finite‐deformation single‐slip crystal plasticity and the results of the gradient model for this case are compared with an effective laminate model based on energy relaxation. Similarities as well as essential differences are observed and explained. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)