Nonlinear Stability Analysis of Imperfect Three-phase Sandwich Laminated Polymer Nanocomposite Panels Resting on Elastic Foundations in Thermal Environments
Main Article Content
Abstract
Abstract: In this paper, the problem of nonlinear stability response of imperfect three-phase sandwich laminated polymer nanocomposite panels resting on elastic foundations in thermal environments is investigated using an analytical approach. Governing equations are derived based on classical shell theory, incorporating von Karman–Donnell type nonlinearity, initial geometrical imperfection, and Pasternak type elastic foundations. By applying the Galerkin method, an explicit expression to find the critical load and post-buckling load-deflection curves are obtained. The effects of fibres and nano-particles, material and geometrical properties, foundation stiffness, imperfection, and temperature on the buckling and post-buckling loading capacity of the three-phase sandwich laminated composite panel are analysed.
Keywords: Nonlinear stability analysis, three-phase sandwich laminated polymer nanocomposite panel, thermal environments, imperfection, elastic foundationsReferences
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[4] Hoh HJ, Xiao ZM, Luo J. Crack tip opening displacement of a Dugdale crack in a three-phase cylindrical model composite material. Int J Eng Sci 2011;49(6):523-535.
[5] Wu J, Liu J, Yang F. Three-phase composite conductive concrete for pavement deicing. Construct Build Mater 2015;75:129-135.
[6] Wang X, Zhou K. Three-phase elliptical inclusions with internal uniform hydrostatic stress resultants in isotropic laminated plates. Euro J Mech A Solids 2015;49:125-36.
[7] Chung DN, Dinh NN, Hui D, Duc ND, Trung NQ, Chipara M. Investigation of polymeric composite films using modified TiO2 nanoparticles for organic light emitting diodes. J Cur Nanosci 2013;9(1):14-20.
[8] Kalamkarov AL, Andrianov IV, Starushenko GA. Three-phase model for a composite material with cylindrical circular inclusions. Part I: Application of the boundary shape perturbation method. Int J Eng Sci 2014;78:154-177.
[9] Zhang Z, Gu Y, Wang S, Li M, Bi J, Zhang Z. Enhancement of dielectric and electrical properties in BT/SiC/PVDF three-phase composite through microstructure tailoring. Compos Part A Appl Sci Manu 2015;74:88-95.
[10] Chen L, Li P, Wen Y, Zhu Y. Large self-biased effect and dual-peak magnetoelectric effect in different three-phase magnetostrictive/piezoelectric composites. J Alloy Comp 2014;606:15-20.
[11] Duc ND, Thu PV. Nonlinear stability analysis of imperfect three-phase polymer composite plates in thermal environments. Compos Struct 2014;109:130-138.
[12] Duc ND, Homayoun H, Thu PV, Quan TQ. Vibration and nonlinear dynamic response of imperfect three-phase polymer nanocomposite panel resting on elastic foundations under hydrodynamic loads. Compos Struct 2015;131:229-237.
[13] Hu HS, Nie JG, Eatherton MR. Deformation capacity of concrete-filled steel plate composite shear walls. J Construct Steel Research 2014;103:148-158.
[14] Song Y, Feng L, Wen J, Yu D, Wen X. Reduction of the sound transmission of a periodic sandwich plate using the stop band concept. Compos Struct 2015;128:428-436.
[15] Mauritsson K, Folkow PD. Dynamic equations for a fully anisotropic piezoelectric rectangular plate. Comput Struct 2015;153:112-125.
[16] Bochkarev SA, Lekomtsev SV, Matveenko VP. Parametric investigation of the stability of coaxial cylindrical shells containing flowing fluid. Euro J Mech A Solids 2014;47:174-181.
[17] Joshi PV, Jain NK, Ramtekkar GD. Effect of thermal environment on free vibration of cracked rectangular plate: An analytical approach. Thin Wall Struct 2015;91:38-49.
[18] Kang P, Youn SK. Isogeometric analysis of topologically complex shell structures. Finite Elem Anal Des 2015;99:68-81.
[19] Jam JE, Kiani Y. Buckling of pressurized functionally graded carbon nanotube reinforced conical shells. Compos. Struct. 2015;125:586-595.
[20] Wali M, Hentati T, Jarraya A, Dammak F. Free vibration analysis of FGM shell structures with a discrete double directors shell element. Compos. Struct. 2015;125:295-303.
[21] Li X, Yu K, Han J, Zhao R, Wu Y. A piecewise shear deformation theory for free vibration of composite and sandwich panels. Compos Struct 2015;124:111-119.
[22] Duc ND, Tung HV, Hang DT. An alternative method determining the coefficient of thermal expansion of composite material of spherical particles. Vietnam J Mech, VAST 2007;29(1):58-64.
[23] Vanin GA. Micro-Mechanics of composite materials, Nauka Dumka, Kiev, 1985.
[24] Kamarian S, Sadighi M, Shakeri M, Yas MH. Free vibration response of sandwich cylindrical shells with functionally graded materials face sheets resting on Pasternak foundation. Journal of Sandwich Structures and Materials 2014; 16: 511-533.