Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 249, Issue -, Pages 52-61Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2012.03.002
Keywords
Isogeometric Analysis; Time-integration; Unconditionally stable; Phase-field crystal
Funding
- Xunta de Galicia [09REM005118PR, 09MDS00718PR]
- Ministerio de Ciencia e Innovacion [DPI2009-14546-C02-01]
- FEDER funds
- Universidad de A Coruna
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The phase field crystal equation has been recently put forward as a model for microstructure evolution of two-phase systems on atomic length and diffusive time scales. The theory is cast in terms of an evolutive nonlinear sixth-order partial differential equation for the interatomic density that locally minimizes an energy functional with the constraint of mass conservation. Here we propose a new numerical algorithm for the phase field crystal equation that is second-order time-accurate and unconditionally stable with respect to the energy functional. We present several numerical examples in two and three dimensions dealing with crystal growth in a supercooled liquid and crack propagation in a ductile material. These examples show the effectiveness of our new algorithm. (C) 2012 Elsevier B.V. All rights reserved.
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