CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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Instability of Epitaxially Strained Thin Films Based on Nonlocal Elasticity |
Wang-Min Zhou**, Wang-Jun Li |
College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023
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Cite this article: |
Wang-Min Zhou, Wang-Jun Li 2019 Chin. Phys. Lett. 36 016801 |
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Abstract We perform a linear analysis of the elastic fields and stability of epitaxially strained thin films based on nonlocal elasticity. We derive expressions of perturbed stresses to the first order of perturbation amplitude, which show that the stresses are directly proportional to the lattice mismatch and the perturbation amplitude, and decrease with an increase in the perturbation wavelength. The critical perturbation wavelength distinguishes whether the flat film for the perturbation is stable, which is inversely proportional to the square of the mismatch and decreases with the thickness of the film.
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Received: 07 October 2018
Published: 25 December 2018
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Fund: Supported by the Zhejiang Provincial Natural Science Foundation of China under Grant Nos LY18A020011 and LQ17A020001, and the National Natural Science Foundation of China under Grant No 11702247. |
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