Simha, N. K. and Bhattacharya, K. (1997) Equilibrium conditions at corners and edges of an interface in a multiphase solid. Materials Science and Engineering A, 238 (1). pp. 32-41. ISSN 0921-5093. doi:10.1016/S0921-5093(97)00431-0. https://resolver.caltech.edu/CaltechAUTHORS:20131007-094847359
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Abstract
In various situations such as coherent precipitation, martensitic transformation, recrystallization, and grain growth the kinetics of phase boundaries play a crucial role in determining the microstructure and the resulting macroscopic properties. By performing a variational calculation in a two dimensional setting, we find the equilibrium conditions at corners, where two interfaces meet, and at edges, where an interface meets the boundary of a finite body. We allow for possible singularities in the bulk stress at corners and edges. The general case considers elastic energy for the bulk and anisotropic energies for the surfaces. Special cases treated are: (i) constant bulk energy or purely surface case; (ii) purely elastic case or zero surface energy; and (iii) constant surface energy.
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Additional Information: | © 1997 Elsevier Science S.A. We thank J.K. Knowles for discussion. This work was supported in part by grants NSF/CMS 9457573 and AFOSR F49620-95-1-0109. | |||||||||
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Subject Keywords: | microstructure; triple-junction; contact angle; martensite | |||||||||
Issue or Number: | 1 | |||||||||
DOI: | 10.1016/S0921-5093(97)00431-0 | |||||||||
Record Number: | CaltechAUTHORS:20131007-094847359 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20131007-094847359 | |||||||||
Official Citation: | N.K. Simha, K. Bhattacharyax, Equilibrium conditions at corners and edges of an interface in a multiphase solid, Materials Science and Engineering: A, Volume 238, Issue 1, 30 October 1997, Pages 32-41, ISSN 0921-5093, http://dx.doi.org/10.1016/S0921-5093(97)00431-0. (http://www.sciencedirect.com/science/article/pii/S0921509397004310) | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 41701 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Tony Diaz | |||||||||
Deposited On: | 07 Oct 2013 20:09 | |||||||||
Last Modified: | 10 Nov 2021 04:33 |
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