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Formation of persistent slip band‐structures during cyclic loading in finite‐strain crystal plasticity
Author(s) -
Kochmann Dennis M.,
Hackl Klaus
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010143
Subject(s) - microscale chemistry , crystal plasticity , plasticity , microstructure , materials science , convexity , slip (aerodynamics) , lattice (music) , strain (injury) , strain energy , mechanics , composite material , crystallography , finite element method , structural engineering , physics , mathematics , chemistry , thermodynamics , engineering , medicine , mathematics education , acoustics , financial economics , economics
Cyclic loading of single‐ and polycrystals gives rise to complex structures and patterns on the material's microscale, which highly affect the macroscopic stress‐strain response. The formation of microstructures in finite‐strain crystal plasticity has been reasoned to stem from the non‐quasiconvexity of the underlying energetic potentials. As a consequence of such a lack of convexity, the material reduces its energy by breaking up into fine‐scale fluctuations of minimizing sequences, which correspond to the experimentally observed microstructures. Based on an incremental setting and relaxed potentials, we describe the formation and the time‐continuous evolution of laminate structures during cyclic loading. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)