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Equilibrium conditions at corners and edges of an interface in a multiphase solid

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.

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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.

Item Type:Article
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Bhattacharya, K.0000-0003-2908-5469
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.
Funding AgencyGrant Number
NSFCMS 9457573
Air Force Office of Scientific Research (AFOSR)F49620-95-1-0109
Subject Keywords:microstructure; triple-junction; contact angle; martensite
Issue or Number:1
Record Number:CaltechAUTHORS:20131007-094847359
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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, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41701
Deposited By: Tony Diaz
Deposited On:07 Oct 2013 20:09
Last Modified:10 Nov 2021 04:33

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