Hypergravitational Rayleigh-Taylor instability in solids

被引:6
作者
Li, Kecheng [1 ]
Zhuo, Guodong [1 ]
Zhang, Yinnan [1 ]
Liu, Congshan [1 ]
Chen, Weiqiu [3 ,4 ,5 ]
Lu, Chaofeng [1 ,2 ,4 ,5 ]
机构
[1] Zhejiang Univ, Coll Civil Engn & Architecture, Hangzhou 310058, Peoples R China
[2] Ningbo Univ, Fac Mech Engn Mech, Ningbo 315211, Peoples R China
[3] Zhejiang Univ, Dept Engn Mech, Hangzhou 310027, Peoples R China
[4] Zhejiang Univ, Key Lab Soft Machines & Smart Devices Zhejiang Pr, Hangzhou 310027, Peoples R China
[5] Zhejiang Univ, Soft Matter Res Ctr, Hangzhou 310027, Peoples R China
基金
中国国家自然科学基金;
关键词
Hypergravitational Rayleigh-Taylor; instability; Hydrogel; Centrifugal hypergravity; Post-buckling patterns; GROWTH;
D O I
10.1016/j.eml.2022.101809
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Rayleigh-Taylor instability in solids results from the competition and dominance of the gravitational potential against the elastic counterpart. We reveal systematically the phenomenon of hypergravitational Rayleigh-Taylor instability in solids by exploiting a novel approach of centrifugal hypergravity. A hydrogel plate is placed in a centrifuge with its free surface transforming from a flat state to a patterned state as the centrifugal gravity increases and exceeds a certain threshold. The experiments show that the centrifugal hypergravity enhances the gravitational potential and thus may induce instabilities in thinner, lighter and stiffer hydrogel plates in contrast to the Earth gravity. There exists a dimensionless critical hypergravity for a wider range of geometric size, mass density, elastic modulus and gravitational acceleration, beyond which the post-buckling pattern is sensitive to the aspect ratio of the plate. We demonstrate that the theoretical results for the Earth gravity may be extended to hypergravitational scenario for plates with lateral boundary confinement. These findings may provide a better understanding of the stabilities in natural solids under hypergravity and may pave a new way of realizing specific fabrications in industries. (c) 2022 Elsevier Ltd. All rights reserved.
引用
收藏
页数:6
相关论文
共 29 条
[1]   Review of theoretical modelling approaches of Rayleigh-Taylor instabilities and turbulent mixing [J].
Abarzhi, Snezhana I. .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2010, 368 (1916) :1809-1828
[2]   Confinement-induced stabilization of the Rayleigh-Taylor instability and transition to the unconfined limit [J].
Alqatari, Samar ;
Videbaek, Thomas E. ;
Nagel, Sidney R. ;
Hosoi, A. E. ;
Bischofberger, Irmgard .
SCIENCE ADVANCES, 2020, 6 (47)
[3]   Anisotropic growth shapes intestinal tissues during embryogenesis [J].
Ben Amar, Martine ;
Jia, Fei .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2013, 110 (26) :10525-10530
[4]   A mechanical model predicts morphological abnormalities in the developing human brain [J].
Budday, Silvia ;
Raybaud, Charles ;
Kuhl, Ellen .
SCIENTIFIC REPORTS, 2014, 4
[5]   Supernova explosions in the Universe [J].
Burrows, A .
NATURE, 2000, 403 (6771) :727-733
[6]   Reynolds number effects on Rayleigh-Taylor instability with possible implications for type-Ia supernovae [J].
Cabot, William H. ;
Cook, Andrew W. .
NATURE PHYSICS, 2006, 2 (08) :562-568
[7]   Selection of hexagonal buckling patterns by the elastic Rayleigh-Taylor instability [J].
Chakrabarti, Aditi ;
Mora, Serge ;
Richard, Franck ;
Phou, Ty ;
Fromental, Jean-Marc ;
Pomeau, Yves ;
Audoly, Basile .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2018, 121 :234-257
[8]   Numerical study of particle-induced Rayleigh-Taylor instability: Effects of particle settling and entrainment [J].
Chou, Yi-Ju ;
Shao, Yun-Chuan .
PHYSICS OF FLUIDS, 2016, 28 (04)
[9]   A model for instability growth in accelerated solid metals [J].
Colvin, JD ;
Legrand, M ;
Remington, BA ;
Schurtz, G ;
Weber, SV .
JOURNAL OF APPLIED PHYSICS, 2003, 93 (09) :5287-5301
[10]   Low-buoyancy thermochemical plumes resolve controversy of classical mantle plume concept [J].
Dannberg, Juliane ;
Sobolev, Stephan V. .
NATURE COMMUNICATIONS, 2015, 6