@article{346613380dcc4a4f86222cb853a94930,
title = "Growth of curved crystals: competition between topological defect nucleation and boundary branching",
abstract = "Topological defect nucleation and boundary branching in crystal growth on a curved surface are two typical elastic instabilities driven by curvature induced stress, and have usually been discussed separately in the past. In this work they are simultaneously considered during crystal growth on a sphere. Phase diagrams with respect to sphere radius, size, edge energy and stiffness of the crystal for the equilibrium crystal morphologies are achieved by theoretical analysis and validated by Brownian dynamics simulations. The simulation results further demonstrate the detail of morphological evolution governed by these two different stress relaxation modes. Topological defect nucleation and boundary branching not only compete with each other but also coexist in a range of combinations of factors. Clarification of the interaction mechanism provides a better understanding of various curved crystal morphologies for their potential applications.",
author = "Long Ma and Xuepeng Liu and Soh, {Ai Kah} and Linghui He and Changzheng Wu and Yong Ni",
note = "Funding Information: Y. Ni was supported by the National Natural Science Foundation of China (Grant No. 11672285), the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB22040502), the Collaborative Innovation Center of Suzhou Nano Science and Technology, and the Fundamental Research Funds for the Central Universities. A. K. Soh acknowledges the support provided by the 2017 Monash University Malaysia Strategic Large Grant Scheme (Project code: LG-2017-04-ENG). Xuepeng Liu was supported by the National Natural Science Foundation of China (Grant No. 11802081), the Fundamental Research Funds for the Central Universities of China (Grant No. JZ2018HGBZ0097 and JZ2018HGTA0201), and the Open Fund of the CAS Key Laboratory of Mechanical Behavior and Design of Materials, University of Science and Technology of China (Grant No. lmbd2017002). Publisher Copyright: {\textcopyright} 2019 The Royal Society of Chemistry. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",
year = "2019",
month = jun,
day = "7",
doi = "10.1039/c9sm00507b",
language = "English",
volume = "15",
pages = "4391--4400",
journal = "Soft Matter",
issn = "1744-6848",
publisher = "The Royal Society of Chemistry",
number = "21",
}