Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 81, Issue -, Pages 1-21Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2015.04.008
Keywords
Chemo-mechanical coupling; Equilibrium morphology; Phase transformation; Extended finite element method (XFEM); Level set method
Funding
- NSF, United States [CMMI-1200075]
- EPSRC [EP/G042705/1]
- European Research Council Starting Independent Research Grant (ERC) [279578]
- [EP/I006494/1]
- EPSRC [EP/I006494/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/G042705/1, EP/I006494/1] Funding Source: researchfish
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This paper studies the effects of chemical, elastic and interfacial energies on the equilibrium morphology of misfit particles due to phase separation in binary alloys under chemo-mechanical equilibrium conditions. A continuum framework that governs the chemo-mechanical equilibrium of the system is first developed using a variational approach by treating the phase interface as a sharp interface endowed with interfacial excess energy. An extended finite element method (XFEM) in conjunction with the level set method is then developed to simulate the behaviors of the coupled chemo-mechanical system. The coupled chemo-mechanics model together with the numerical techniques developed here provides an efficient simulation tool to predict the equilibrium morphologies of precipitates in phase separate alloys. (C) 2015 Elsevier Ltd. All rights reserved.
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