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Open AccessArticle

Non-Linear Stability of the Step-Variable In-Plane Functionally Graded Plates Subjected to Linear Approaches of the Edges

Department of Strength of Materials, Lodz University of Technology, 90-924 Lodz, Poland
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Materials 2020, 13(6), 1439; https://doi.org/10.3390/ma13061439
Received: 29 February 2020 / Revised: 14 March 2020 / Accepted: 19 March 2020 / Published: 21 March 2020
(This article belongs to the Special Issue Impact Damage and Mechanical Analysis of Thin-Walled Composites)
The analysis of gradations through the thickness in structures are commonly used. It usually refers to the problems of the stability of functionally graded (FG) structures. In this work, rectangular in-plane FG plates built of a material gradation along the transversal direction were assumed. Five-strip FG plates with four cases that were based on the boundary conditions on longitudinal edges and simply supported on transverse loaded edges were considered. The non-linear stability problems of the FG plates that were subjected to linear approaches of the transverse edges for several types of loads were solved. The estimations were executed with two methods: an analytical-numerical way based on Koiter’s theory and finite element method (FEM). View Full-Text
Keywords: step-variable gradation material; post-critical state; Byskov-Hutchinson’s theory; finite element method step-variable gradation material; post-critical state; Byskov-Hutchinson’s theory; finite element method
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Kołakowski, Z.; Czechowski, L. Non-Linear Stability of the Step-Variable In-Plane Functionally Graded Plates Subjected to Linear Approaches of the Edges. Materials 2020, 13, 1439.

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