Direct numerical simulations of three-dimensional surface instability patterns in thin film-compliant substrate structures

Abstract A comprehensive numerical study of three-dimensional surface instability patterns is presented. The formation of wrinkles is a consequence of deformation instability when a thin film, bonded to a compliant substrate, is subject to in-plane compressive loading. We apply a recently developed...

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Autores principales:	Siavash Nikravesh, Donghyeon Ryu, Yu-Lin Shen
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/452e3ff77ca54a2999261f6a846ab36e
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spelling	oai:doaj.org-article:452e3ff77ca54a2999261f6a846ab36e2021-12-02T15:07:54ZDirect numerical simulations of three-dimensional surface instability patterns in thin film-compliant substrate structures10.1038/s41598-021-95414-82045-2322https://doaj.org/article/452e3ff77ca54a2999261f6a846ab36e2021-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-95414-8https://doaj.org/toc/2045-2322Abstract A comprehensive numerical study of three-dimensional surface instability patterns is presented. The formation of wrinkles is a consequence of deformation instability when a thin film, bonded to a compliant substrate, is subject to in-plane compressive loading. We apply a recently developed computational approach to directly simulate complex surface wrinkling from pre-instability to post-instability in a straightforward manner, covering the entire biaxial loading spectrum from pure uniaxial to pure equi-biaxial compression. The simulations use embedded imperfections with perturbed material properties at the film-substrate interface. This approach not only triggers the first bifurcation mode but also activates subsequent post-buckling states, thus capable of predicting the temporal evolution of wrinkle patterns in one simulation run. The state of biaxiality is found to influence the surface pattern significantly, and each bifurcation mode can be traced back to certain abrupt changes in the overall load–displacement response. Our systematic study reveals how the loading condition dictates the formation of various instability modes including one-dimensional (1D) sinusoidal wrinkles, herringbone, labyrinth, and checkerboard.Siavash NikraveshDonghyeon RyuYu-Lin ShenNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-15 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Siavash Nikravesh Donghyeon Ryu Yu-Lin Shen Direct numerical simulations of three-dimensional surface instability patterns in thin film-compliant substrate structures
description	Abstract A comprehensive numerical study of three-dimensional surface instability patterns is presented. The formation of wrinkles is a consequence of deformation instability when a thin film, bonded to a compliant substrate, is subject to in-plane compressive loading. We apply a recently developed computational approach to directly simulate complex surface wrinkling from pre-instability to post-instability in a straightforward manner, covering the entire biaxial loading spectrum from pure uniaxial to pure equi-biaxial compression. The simulations use embedded imperfections with perturbed material properties at the film-substrate interface. This approach not only triggers the first bifurcation mode but also activates subsequent post-buckling states, thus capable of predicting the temporal evolution of wrinkle patterns in one simulation run. The state of biaxiality is found to influence the surface pattern significantly, and each bifurcation mode can be traced back to certain abrupt changes in the overall load–displacement response. Our systematic study reveals how the loading condition dictates the formation of various instability modes including one-dimensional (1D) sinusoidal wrinkles, herringbone, labyrinth, and checkerboard.
format	article
author	Siavash Nikravesh Donghyeon Ryu Yu-Lin Shen
author_facet	Siavash Nikravesh Donghyeon Ryu Yu-Lin Shen
author_sort	Siavash Nikravesh
title	Direct numerical simulations of three-dimensional surface instability patterns in thin film-compliant substrate structures
title_short	Direct numerical simulations of three-dimensional surface instability patterns in thin film-compliant substrate structures
title_full	Direct numerical simulations of three-dimensional surface instability patterns in thin film-compliant substrate structures
title_fullStr	Direct numerical simulations of three-dimensional surface instability patterns in thin film-compliant substrate structures
title_full_unstemmed	Direct numerical simulations of three-dimensional surface instability patterns in thin film-compliant substrate structures
title_sort	direct numerical simulations of three-dimensional surface instability patterns in thin film-compliant substrate structures
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/452e3ff77ca54a2999261f6a846ab36e
work_keys_str_mv	AT siavashnikravesh directnumericalsimulationsofthreedimensionalsurfaceinstabilitypatternsinthinfilmcompliantsubstratestructures AT donghyeonryu directnumericalsimulationsofthreedimensionalsurfaceinstabilitypatternsinthinfilmcompliantsubstratestructures AT yulinshen directnumericalsimulationsofthreedimensionalsurfaceinstabilitypatternsinthinfilmcompliantsubstratestructures
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Direct numerical simulations of three-dimensional surface instability patterns in thin film-compliant substrate structures

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