Postbuckling analysis of functionally graded graphene platelet-reinforced polymer composite cylindrical shells using an analytical solution approach

• Published in: Applied mathematics and mechanics Vol. 40; no. 7; pp. 1001 - 1016
• Main Authors: Blooriyan, S., Ansari, R., Darvizeh, A., Gholami, R., Rouhi, H.
• Format: Journal Article
• Language: English
• Published: Shanghai Shanghai University 01.07.2019; Springer Nature B.V; Department of Mechanical Engineering,University of Guilan,Rasht 41635-3756,Iran%Department of Mechanical Engineering,Lahijan Branch,Islamic Azad University,Lahijan 44169-39515,Iran%Department of Engineering Science,Faculty of Technology and Engineering,University of Guilan,Rudsar-Vajargah 44891-63157,Iran
• Edition: English ed.
• Subjects: Applications of Mathematics; Classical Mechanics; Cylindrical shells; Exact solutions; Fluid- and Aerodynamics; Functionally gradient materials; Graphene; Lateral pressure; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; Polymer matrix composites; Polymers; Postbuckling; Shell theory; Shells; cylindrical shell; postbuckling; graphene platelet (GPL); 74G10; O343; 82D60; nanocomposite; analytical solution; 82B21; 74G60; 82D80; 74K25
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-019-2498-8

An analytical approach is proposed to study the postbuckling of circular cylindrical shells subject to axial compression and lateral pressure made of functionally graded graphene platelet-reinforced polymer composite (FG-GPL-RPC). The governing equations are obtained in the context of the classical Donnell shell theory by the von Kármán nonlinear relations. Then, based on the Ritz energy method, an analytical solution approach is used to trace the nonlinear postbuckling path of the shell. The effects of several parameters such as the weight fraction of the graphene platelet (GPL), the geometrical properties, and distribution patterns of the GPL on the postbuckling characteristics of the FG-GPL-RPC shell are analyzed.