Post-buckling dynamics of spherical shells

被引：5

作者：

Mokbel, Marcel ^{[1
,2
]}

Djellouli, Adel ^{[3
,4
]}

Quilliet, Catherine ^{[3
]}

Aland, Sebastian ^{[1
,2
]}

Coupier, Gwennou ^{[3
]}

机构：

[1] Univ Appl Sci HTW Dresden, Friedrich List Pl 1, D-01069 Dresden, Germany

[2] Tech Univ Bergakad Freiberg, Akad Str, D-609599 Freiberg, Germany

[3] Univ Grenoble Alpes, CNRS, LIPhy, F-38000 Grenoble, France

[4] Harvard Univ, Sch Engn & Appl Sci Cambridge, Cambridge, MA 02138 USA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2021年 / 477卷 / 2253期

关键词：

spherical shells; shallow shell theory; buckling; oscillators; BUCKLING INSTABILITY; DRAG COEFFICIENT; OSCILLATIONS; MODEL; MICROBUBBLES; BEHAVIOR; BUBBLES;

D O I：

10.1098/rspa.2021.0378

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We explore the intrinsic dynamics of spherical shells immersed in a fluid in the vicinity of their buckled state, through experiments and three-dimensional axisymmetric simulations. The results are supported by a theoretical model that accurately describes the buckled shell as a two-variable-only oscillator. We quantify the effective 'softening' of shells above the buckling threshold, as observed in recent experiments on interactions between encapsulated microbubbles and acoustic waves. The main dissipation mechanism in the neighbouring fluid is also evidenced.

引用

页数：24

共 50 条

[1] POST-BUCKLING BEHAVIOR OF THIN SPHERICAL-SHELLS
SCHEIDL, R
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1985, 65 (04): : T98 - T99
[2] THERMAL POST-BUCKLING OF SHELLS OF REVOLUTION
Shaterzadeh, A. R.
Darvizeh, M.
Darvizeh, A.
Ansari, R.
JOURNAL OF THERMAL STRESSES, 2011, 34 (10) : 1035 - 1053
[3] Buckling and post-buckling analysis of an untypical shells of revolution
Jasion, P.
Magnucki, K.
INSIGHTS AND INNOVATIONS IN STRUCTURAL ENGINEERING, MECHANICS AND COMPUTATION, 2016, : 766 - 771
[4] Controlled reversible buckling of polydopamine spherical microcapsules: revealing the hidden rich phenomena of post-buckling of spherical polymeric shells
Lei, Caifen
Li, Qiang
Yang, Lu
Deng, Fei
Li, Jianyao
Ye, Zihan
Wang, Ying
Zhang, Zhenkun
SOFT MATTER, 2019, 15 (32) : 6504 - 6517
[5] POST-BUCKLING PROBLEM FOR THIN ELASTIC SHELLS
LANGE, CG
NEWELL, AC
SIAM JOURNAL ON APPLIED MATHEMATICS, 1971, 21 (04) : 605 - &
[6] Post-buckling of functionally graded cylindrical shells
Gunes, Recep
Apalak, M. Kemal
Tasdemir, H. Abdullah
PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION 2007, VOL 1: ADVANCES IN AEROSPACE TECHNOLOGY, 2008, : 185 - 189
[7] THE DYNAMICS OF SYMMETRIC POST-BUCKLING
VIRGIN, LN
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1985, 27 (04) : 235 - 248
[8] ON THE POST-BUCKLING ANALYSIS OF THIN ELASTIC SHELLS
STUMPF, H
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1983, 63 (04): : T101 - T103
[9] POST-BUCKLING ANALYSIS OF CYLINDRICAL-SHELLS
KICIMAN, OK
POPOV, EP
JOURNAL OF THE ENGINEERING MECHANICS DIVISION-ASCE, 1978, 104 (04): : 751 - 762
[10] STABILITY AND POST-BUCKLING EQUILIBRIUM OF SHELLS OF REVOLUTION
LUKASIEWICZ, S
SZYSZKOW.W
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1971, 51 (08): : 635 - +

← 1 2 3 4 5 →