Nonlinear thermo-mechanical stability of eccentrically stiffened functionally graded material sandwich doubly curved shallow shells with general sigmoid law and power law according to third-order shear deformation theory  

作　　者：D.V.DUNG D.T.DONG D. V. DUNG D.T. DONG(Faculty of Mathematics, Mechanics and Informatics, Vietnam National University Hanoi 100000, Vietnam Faculty of Civil Engineering, University of Transport Technology, Hanoi 100000, Vietnam)

机构地区：[1]Faculty of Mathematics, Mechanics and Informatics, Vietnam National University, Hanoi 100000, Vietnam [2]Faculty of Civil Engineering, University of Transport Technology, Hanoi 100000, Vietnam

出　　处：《Applied Mathematics and Mechanics(English Edition)》2017年第2期191-216,共26页应用数学和力学（英文版）

基　　金：Project supported by the Vietnam National Foundation for Science and Technology Development(No.107.02-2015.11)

摘　　要：In this paper, the nonlinear analysis of stability of functionally graded ma- terial （FGM） sandwich doubly curved shallow shells is studied under thermo-mechanical loads with material properties obeying the general sigmoid law and power law of four ma- terial models. Shells are reinforced by the FGM stiffeners and rest on elastic foundations. Theoretical formulations are derived by the third-order shear deformation theory （TSDT） with the von Karman-type nonlinearity taking into account the initial geometrical im- perfection and smeared stiffener technique. The explicit expressions for determining the critical buckling load and the post-buckling mechanical and thermal load-deflection curves are obtained by the Galerkin method. Two iterative algorithms are presented. The effects of the stiffeners, the thermal element, the distribution law of material, the initial imper- fection, the foundation, and the geometrical parameters on buckling and post-buckling of shells are investigated.In this paper, the nonlinear analysis of stability of functionally graded ma- terial （FGM） sandwich doubly curved shallow shells is studied under thermo-mechanical loads with material properties obeying the general sigmoid law and power law of four ma- terial models. Shells are reinforced by the FGM stiffeners and rest on elastic foundations. Theoretical formulations are derived by the third-order shear deformation theory （TSDT） with the von Karman-type nonlinearity taking into account the initial geometrical im- perfection and smeared stiffener technique. The explicit expressions for determining the critical buckling load and the post-buckling mechanical and thermal load-deflection curves are obtained by the Galerkin method. Two iterative algorithms are presented. The effects of the stiffeners, the thermal element, the distribution law of material, the initial imper- fection, the foundation, and the geometrical parameters on buckling and post-buckling of shells are investigated.

关 键 词：functionally graded material （FGM） sandwich double curved shallow shell thermo-mechanical stability FGM stiffener elastic foundation 

分 类 号：O344.1[理学—固体力学]