TAILIEUCHUNG - Nonlinear analysis of stability for imperfect eccentrically stiffened FGM plates under mechanical and thermal loads based on FSDT. Part 1: Governing equations establishment

In this paper, the buckling and post-buckling behaviors of eccentrically stiffened functionally graded material (ES-FGM) plates on elastic foundations subjected to in-plane compressive loads or thermal loads are investigated by an analytical solution. The novelty of this work is that FGM plates are reinforced by FGM stiffeners and the temperature, stiffener, foundation are considered. The first-order shear deformation plate theory is used. | Vietnam Journal of Mechanics, VAST, Vol. 37, No. 3 (2015), pp. 187 – 204 DOI: NONLINEAR ANALYSIS OF STABILITY FOR IMPERFECT ECCENTRICALLY STIFFENED FGM PLATES UNDER MECHANICAL AND THERMAL LOADS BASED ON FSDT. PART 1: GOVERNING EQUATIONS ESTABLISHMENT Dao Van Dung, Nguyen Thi Nga∗ VNU University of Science, Hanoi, Vietnam ∗ E-mail: nguyennga282@ Received February 02, 2015 Abstract. In this paper, the buckling and post-buckling behaviors of eccentrically stiffened functionally graded material (ES-FGM) plates on elastic foundations subjected to in-plane compressive loads or thermal loads are investigated by an analytical solution. The novelty of this work is that FGM plates are reinforced by FGM stiffeners and the temperature, stiffener, foundation are considered. The first-order shear deformation plate theory is used. The thermal elements of plate and stiffeners in fundamental equations are introduced. Theoretical formulations based on the smeared stiffeners technique and the first-order shear deformation plate theory, are derived. The analytical expressions to determine the static critical buckling load and post-buckling load-deflection curves are obtained. Keywords: Stiffened plates, nonlinear analysis, functionally graded material (FGM), thermal environment, elastic foundation. 1. INTRODUCTION Stiffened plates are structural components consisting of plates reinforced by a system of stiffeners to enhance their load carrying capacities. Stiffened plates nowadays are widely used in modern industry, such as ships, bridges, tank roofs, vehicles, etc. Many researches have been published regarding stiffened plates. Analysis of linear buckling of stiffened plates by the orthotropic plate method may be found in Timoshenko and Gere [1]. The elastic buckling and post-buckling behavior of eccentrically stiffened plate are evaluated analytically by Steen [2] using the simplified direct energy approach together with Marguerre’s plate .

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