Buckling Study of Thin Tank Filled with Heterogeneous Liquid

Document Type : Research Paper


Abdelmalek Essaadi Universty, Faculty of Science, M2SM Group ,93000 M’Hannech ,Tetuan, Morocco


Buckling of imperfect thin shell tank which is subjected to uniform axial compression is analyzed. The effect of internal pressure on the stability of a shell tank filled with a homogeneous-heterogeneous liquid was considered. Investigation of the liquid nature effect on reduction of the shell buckling load is performed by using the finite elements method. Calculating results in terms of analytical formula give a good agreement with the numerical results given by Abaqus when using actual measurements. The obtained results show the influence of the physical characteristics of liquid especially in the case of heterogeneous liquid. The study of combination between compression load, lateral pressure and the mechanical properties of liquid filling the tank is recommended for dimensioning the shell tanks to avoid the buckling phenomenon.  


[1] Donnell L.H., 1933, The Problem of Elastic Stability, Transactions of the American Society of Mechanical Engineers, Aeronautical Division, New York.
[2] Arbocz J., Babcock C.D., 1969, The effect of general imperfections on the buckling of cylindrical shells, Journal of Applied Mechanics 36: 28-38.
[3] Gros D., 1999, Flambage des Coques Cylindriques sous Pression Interne et Flexion : Sensibilité aux Imperfections Géométriques, Thèse Institut National de Sciences Appliquées de Lyon, Lyon.
[4] Kim S.E., Kim C.S., 2002, Buckling strength of the cylindrical shell and tank subjected to axially compressive loads, Thin Walled Structures 40(4): 329-353.
[5] Jamal M., Midani M., Damil N., Potier-Ferry M., 1999, Influence of localized imperfections on the buckling of cylindrical shells under axial compression, International Journal of Solids and Structures 36: 330-353.
[6] Jamal M., Lahlou L., Midani M., Zahrouni H., Limam A., Damil N., Potier-Ferry M., 2003, A semi-analytical buckling analysis of imperfect cylindrical shells under axial compression, International Journal of Solids and Structures 40: 1311-1327.
[7] Abaqus, 2006, Standard user’s Manual, Version 6.8., Simulia, Dassault Systems.
[8] Limam A., El Bahaoui J., Khamlichi A., EL Bakkali L., 2011, Effect of multiple localized geometric imperfections on stability of thin axisymmetric cylindrical shells under axial compression, International Journal of Solids and Structures 48: 1034-1043.
[9] Lo Frano R., Forasassi G., 2008, Buckling of imperfect thin cylindrical shell under lateral pressure, Science and Technology of Nuclear Installations 2008: 685805.
[10] Fan H., Chen Zh., Cheng J., Huang S., Feng W., Liu L., 2016, Analytical research on dynamic buckling of thin cylindrical shells with thickness variation under axial pressure, Thin-Walled Structures 101: 213-221.
[11] Wu J., Cheng Q. H., Liu B., Zhang Y. W., Lu W.B., Hwang K.C., 2012 ,Study on the axial compression buckling behaviors of concentric multi-walled cylindrical shells filled with soft materials, Journal of the Mechanics and Physics of Solids 60: 803-826.
[12] Khamlichi A., Bezzazi M., Limam A., 2004, Buckling of elastic cylindrical shells considering the effect of localized axisymmetric imperfections, Thin-Walled Structures 42(7): 1035-1047.
[13] Bryngelson S.H., Freund J.B., 2016, Buckling and its effect on the confined flow of a model capsule suspension, Rheologica Acta 55: 451-464.
[14] Dai H.L., Rao Y.N., Dai T., 2016, A review of recent researches on FGM cylindrical structures under coupled physical interactions, Composite Structures 152: 199-225.
[15] Michael Rotter J., Sadowski A. J., 2012, Cylindrical shell bending theory for orthotropic shells under general axisymmetric pressure distributions, Engineering Structures 42: 258-265.
[16] Zingoni A., 2015, Liquid-containment shells of revolution: A review of recent studies on strength, stability and dynamics, Thin-Walled Structures 87: 102-114.
[17] Bazhenov V.A., Luk’yanchenko O.O., Kostina O.V., Gerashchenko O.V.,2014, Probabilistic approach to derermination of reliability of an imperfect supporting shell, Strength of Materials 46(4): 567-574.