×

Postbuckling of functionally graded cylindrical shells with tangential edge restraints and temperature-dependent properties. (English) Zbl 1401.74110

Summary: This paper presents an analytical approach to investigate the buckling and postbuckling behavior of functionally graded cylindrical shells subjected to thermal and axial compressive loads. Material properties are assumed to be temperature dependent and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of constituents. The governing equations are established within the framework of classical thin shallow shell theory taking both geometrical nonlinearity in von Kármán-Donnell sense and initial imperfection into consideration. Thermal stability analysis also incorporates the effects of tangential edge constraints. A Galerkin procedure is applied to derive expressions of load-deflection relations from which the thermal buckling loads and postbuckling curves of the shells are obtained by an iteration. Effects played by material and geometrical properties, tangential stiffness, imperfection and buckling modes are discussed.

MSC:

74G60 Bifurcation and buckling
74K25 Shells
74E30 Composite and mixture properties
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Thornton E.A.: Thermal buckling of plates and shells. Appl. Mech. Rev. 46, 485–506 (1993)
[2] Birman V., Bert C.W.: Buckling and postbuckling of composite plates and shells subjected to elevated temperature. J. Appl. Mech. ASME 60, 514–519 (1993) · Zbl 0774.73032
[3] Shahsiah R., Eslami M.R.: Thermal buckling of functionally graded cylindrical shell. J. Therm. Stress. 26, 277–294 (2003)
[4] Shahsiah R., Eslami M.R.: Functionally graded cylindrical shell thermal instability based on improved Donnell equations. AIAA J. 41, 1819–1824 (2003)
[5] Wu L., Jiang Z., Liu J.: Thermoelastic stability of functionally graded cylindrical shells. Compos. Struct. 70, 60–68 (2005)
[6] Li S.R., Batra R.C.: Buckling of axially compressed thin cylindrical shells with functionally graded middle layer. Thin-Wall Struct. 44, 1039–1047 (2006)
[7] Huang H., Han Q.: Buckling of imperfect functionally graded cylindrical shells under axial compression. Eur. J. Mech. A Solids 27, 1026–1036 (2008) · Zbl 1151.74356
[8] Matsunaga H.: Free vibration and stability of functionally graded circular cylindrical shells according to a 2D higher-order deformation theory. Compos. Struct. 88, 519–531 (2009)
[9] Huang H., Han Q.: Nonlinear buckling and postbuckling of heated functionally graded cylindrical shells under combined axial compression and radial pressure. Int. J. Non-Linear Mech. 44, 209–218 (2009) · Zbl 1203.74044
[10] Shen H.S.: Thermal postbuckling behavior of functionally graded cylindrical shells with temperature-dependent properties. Int. J. Solids Struct. 41, 1961–1974 (2004) · Zbl 1106.74352
[11] Shen H.S.: Postbuckling of axially loaded FGM hybrid cylindrical shells in thermal environments. Compos. Sci. Technol. 65, 1675–1690 (2005)
[12] Shen H.S., Noda N.: Postbuckling of pressure-loaded FGM hybrid cylindrical shells in thermal environments. Compos. Struct. 77, 546–560 (2007)
[13] Shen H.S.: Postbuckling of shear deformable FGM cylindrical shells surrounded by an elastic medium. Int. J. Mech. Sci. 51, 372–383 (2009)
[14] Bagherizadeh E., Kiani Y., Eslami M.R.: Mechanical buckling of functionally graded material cylindrical shells surrounded by Pasternak elastic foundation. Compos. Struct. 93, 3063–3071 (2011)
[15] Duc N.D., Tung H.V.: Nonlinear response of pressure-loaded functionally graded cylindrical panels with temperature effects. Compos. Struct. 92, 1664–1672 (2010)
[16] Librescu, L., Lin, W., Nemeth, M.P., Starnes, Jr J.H.: Effects of tangential edge constraints on the postbuckling behavior of flat and curved panels subjected to thermal and mechanical loads. In: Noor, A.K. (ed.) Buckling and Postbuckling of Composite Structures, pp. 55–71. ASME, NY (1994)
[17] Librescu L., Lin W.: Vibration of thermomechanically loaded flat and curved panels taking into account geometric imperfections and tangential edge restraints. Int. J. Solids Struct. 34, 2161–2181 (1997) · Zbl 0944.74562
[18] Tung H.V.: Postbuckling behavior of functionally graded cylindrical panels with tangential edge constraints and resting on elastic foundations. Compos. Struct. 100, 532–541 (2013)
[19] Brush D.O., Almroth B.O.: Buckling of Bars, Plates and Shells. McGraw-Hill, New York (1975) · Zbl 0352.73040
[20] Touloukian Y.S.: Thermophysical Properties of High Temperature Solid Materials. McMillan, New York (1967)
[21] Reddy J.N., Chin C.D.: Thermoelastic analysis of functionally graded cylinders and plates. J. Therm. Stress. 21, 593–626 (1998)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.