Nonlinear buckling and post-buckling response of stiffened FGM plates in thermal environments

Taczała, Maciej; Buczkowski, Ryszard; Kleiber, Michał

doi:10.1016/j.compositesb.2016.09.023

Cited by 54 publications

(12 citation statements)

References 24 publications

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“…The ceramic constituent is considered as a high temperature barrier, thanks to its low thermal conductivity, whereas the metal counterpart is more ductile to prevent fracture due to thermal stresses. In addition to the linear analysis of FG plates [2], a large number of studies have been devoted to investigate their post-buckling responses [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. A comprehensive review of plate theories and techniques used to analyse FG plates subjected to mechanical and thermal loads can be found in [2,19,20].…”

Section: Introductionmentioning

confidence: 99%

Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

Thai

et al. 2017

Engineering Structures

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The present study uses the isogeometric analysis (IGA) to investigate the post-buckling behavior of functionally graded (FG) microplates subjected to mechanical and thermal loads. The modified a strain gradient theory with three length scale parameters is used to capture the size effect. The Reddy third-order shear deformation plate theory with the von Kámán nonlinearity (i.e., small strains and moderate rotations) is employed to describe the kinematics of the microplates. Material variations in the thickness direction of the plate are described using a rule of mixtures. In addition, material properties are assumed to be either temperature-dependent or temperature-independent. The governing equations are derived using the principle of virtual work, which are then discretized using the IGA approach, whereby a C 2-continuity requirement is fulfilled naturally and efficiently. To trace the post-buckling paths, Newton's iterative technique is utilized. Various parametric studies are conducted to examine the influences of material variations, size effects, thickness ratios, and boundary conditions on the post-buckling behavior of microplates.

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Section: Introductionmentioning

confidence: 99%

Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

Thai

et al. 2017

Engineering Structures

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“…Owing to that fact, many analytical, numerical, and experimental studies of FGM structures have been conducted to better understand their behaviour with respect to nonlinear stability and limitations of carrying-load capacity in references [6][7][8]. The analysis of vibrations of FGM structures was performed in references [9,10], among others.…”

Section: Introductionmentioning

confidence: 99%

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

Kołakowski

Czechowski

2020

Materials

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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).

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“…The nonlinear buckling and post-buckling response of stiffened FGM plates in thermal environments using the FSDT were studied by Taczala et al. 11 and Cong et al. 12 By using the Reddy's HSDT, Dung and Dong 13 investigated the post-buckling analysis of FGM doubly curved shallow shells reinforced by FGM stiffeners, and Cong et al.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear thermo-mechanical buckling of higher-order shear deformable porous functionally graded material plates reinforced by orthogonal and/or oblique stiffeners

Nam

Phương

Dong

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this paper, an analytical approach for nonlinear buckling and post-buckling behavior of stiffened porous functionally graded plate rested on Pasternak's elastic foundation under mechanical load in thermal environment is presented. The orthogonal and/or oblique stiffeners are attached to the surface of plate and are included in the calculation by improving the Lekhnitskii's smeared stiffener technique in the framework of higher-order shear deformation plate theory. The complex equilibrium and stability equations are established based on the Reddy's higher-order shear deformation plate theory and taken into account the geometrical nonlinearity of von Kármán. The solution forms of displacements satisfying the different boundary conditions are chosen, the stress function method and the Galerkin procedure are used to solve the problem. The good agreements of the present analytical solution are validated by making the comparisons of the present results with other results. In addition, the effects of porosity distribution, stiffener, volume fraction index, thermal environment, elastic foundation… on the critical buckling load and post-buckling response of porous functionally graded material plates are numerically investigated.

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Nonlinear buckling and post-buckling response of stiffened FGM plates in thermal environments

Cited by 54 publications

References 24 publications

Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

Post-buckling of functionally graded microplates under mechanical and thermal loads using isogeomertic analysis

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

Nonlinear thermo-mechanical buckling of higher-order shear deformable porous functionally graded material plates reinforced by orthogonal and/or oblique stiffeners

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