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A theory for elastic properties of single crystals with microstructure and its application to diffusion induced segregation
Author(s) -
Blesgen T.
Publication year - 2008
Publication title -
crystal research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0232-1300
DOI - 10.1002/crat.200800129
Subject(s) - microstructure , diffusion , homogeneous , relaxation (psychology) , computation , materials science , elastic energy , energy (signal processing) , diffusion theory , thermodynamics , stress (linguistics) , statistical physics , physics , mathematics , composite material , algorithm , quantum mechanics , psychology , social psychology , linguistics , philosophy
In this article a general theory for elastically stressed single crystals in the presence of microstructure is presented and an explicit formula for the resulting non‐linear stored mechanical energy is obtained. The optimal microstructure under applied stress is characterised and the optimal laminates are identified in 2D. The analysis is based on a sharp lower estimate of the energy that relies on relaxation. The new theory is then used to extend existing models for diffusion induced segregation (DIS) in the case of (Zn,Fe)S single crystals. Numerical simulations based on finite elements are carried out and the results are compared with former computations of the homogeneous case. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)