Non-linear stability of cylindrical panels made of transversally functionally graded material with uniformly shortened edges
Keywords:
FGM, cylindrical panels, postbuckling equilibrium paths, first and second order approximation, step-variable graded materialAbstract
The present paper deals with FGM cylindrical panels with uniformly shortened edges when the shear lag phenomenon and distortional deformations are taken into account. A shell model (2D) was adopted. A method of the modal solution to the nonlinear stability problem within Koiter’s asymptotic theory, using the semianalytical method (SAM) and the transition matrix method, was applied. Post-buckling equilibrium paths for two FGM panels of step-variable gradation along the circumferential direction within the first- and second-order non-linear approximation were determined.
References
BIRMAN, V., BYRD, L.W., Modeling and analysis of functionally graded materials and structures, Appl. Mech. Rev., 60, 5, pp. 195-216, 2007.
CZECHOWSKI, L., KOWAL-MICHALSKA, K., Static and dynamic buckling of rectangular functionally graded plates subjected to thermal loading. Strength of Materials, 45, 6, pp. 666-673, 2013.
CZECHOWSKI, L., Analysis of dynamic response of functionally graded plate due to temperature pulse load, Composite Structures, 160, pp. 625–634, 2017.
VAN DER HEIJDEN, A.M.A., W.T. Koiter’s Elastic Stability of Solids and Structures, Cambridge University Press, 2008.
HUI-SHEN, S., Functionally graded materials – Nonlinear analysis of plates and shells, CRC Press, Taylor & Francis, London, 2009.
JHA, D.K., KANT, T., SINGHT, R.K., A critical review of recent research on functionally graded plates, Composite Structures, 96, pp. 833-849, 2013.
KOLAKOWSKI, Z., KROLAK, M., Modal coupled instabilities of thin-walled composite plate and shell structures, Composite Structures, 76, pp. 303-313, 2006.
KOLAKOWSKI, Z., MANIA, R., Semi-analytical method versus the FEM for analysis of the localpost-buckling of thin-walled composite structures, Composite Structures, 97, pp. 99-106, 2013.
KOLAKOWSKI, Z., MANIA, R., GRUDZIECKI, J., Local nonsymmetrical postbuckling equilibrium path of the thin FGM plate, Eksploatacja i Niezawodnosc – Maintenance and Reliability, 17, 1, pp. 135-142, 2015.
KOLAKOWSKI, Z., TETER, A. Load carrying capacity of functionally graded columns with open cross-sections under static compression, Composite Structures, 129, pp. 1-7, 2015.
KUBIAK, T., Postbuckling behavior of thin-walled girders with orthotropy varying widthwise, Int. J. Solids Structures, 38, pp. 4839-4855, 2001.
LIEW, K.M., ZHAO X., FERREIRA, A.J.M., A review of meshless methods for laminated and functionally graded plates and shells, Composite Structures, 93, 8, pp. 2031-2041, 2011.
LYKHACHOVA, O., KOLAKOWSKI, Z., Influence of the transverse inhomogeneity on the nonlinear post-buckling path of compressed FG cylindrical panels, Engineering Transactions, 65, 4, pp. 563-578, 2017.
OSTROWSKI, P., MICHALAK, B., The combined asymptotic-tolerance model of heat conduction in a skeletan micro-heterogeneous hollow cylinder, Composite Structures, 134, pp. 343-352, 2015.
OSTROWSKI, P., MICHALAK, B., A contribution to the modelling of heat conduction for cylindrical composite conductors with non-uniform distribution of constituents, Int. J. Heat and Mass Transfer, 92, pp. 435-448, 2016.
REDDY, J.N., Analysis of functionally graded plates, Int. J Numer. Meth. Eng., 47, pp. 663-684, 2000.
SWAMINATHAN, K., NAVEENKUMAR, D.T., ZENKOUR, A.M., CARRERA, E., Stress, vibration and buckling analyses of FGM plates - A state-of-the-art review, Composite Structures, 120, pp. 10-31, 2015.
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