Dislocation Structure of Grain Boundaries in Single Crystals Deforming in Simple Shear
A model for the formation of grain boundaries in single crystals having a single active slip system for the case of plane strain simple shear is proposed. It is shown that non‐convexity of the condensed energy gives rise to the formation of a laminate structure, where sharp interfaces between lamina...
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| Published in: | Proceedings in applied mathematics and mechanics Vol. 15; no. 1; pp. 319 - 320 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Berlin
WILEY-VCH Verlag
01-10-2015
WILEY‐VCH Verlag |
| Online Access: | Get full text |
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| Summary: | A model for the formation of grain boundaries in single crystals having a single active slip system for the case of plane strain simple shear is proposed. It is shown that non‐convexity of the condensed energy gives rise to the formation of a laminate structure, where sharp interfaces between laminate layers are interpreted as grain boundaries. Based on these results the dislocation structure of the boundaries is determined introducing a transition zone between laminate layers, where smooth functions of displacement and plastic slip connect adjacent layers. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Bibliography: | ark:/67375/WNG-L7266149-8 istex:3DD3FED22A373B6EF0FE8BFEA8F5D36D8B4D1B39 ArticleID:PAMM201510150 |
| ISSN: | 1617-7061 1617-7061 |
| DOI: | 10.1002/pamm.201510150 |