Research on the Buckling Behavior of Functionally Graded Plates with Stiffeners Based on the Third-Order Shear Deformation Theory

Nguyen, Hoang-Nam; Tan, Tran Cong; Luat, Doan Trac; Phan, Van-Duc; Thom, Do Van; Minh, Phung Van

doi:10.3390/ma12081262

Cited by 50 publications

(20 citation statements)

References 29 publications

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“…in which Θ represents Young's modulus E, Poisson's ratio ], and mass density ρ, where T � T 0 + ΔT and T 0 � 300 K (ambient or free stress temperature), ΔT is the temperature change, and Θ 0 , Θ −1 , Θ 1 , Θ 2 , and Θ 3 are the temperaturedependent coefficients, which can be seen in Table 1. e following equation expresses the dependence of material properties on the volume fraction proportion of ceramic (V c ) and metal (V c ) as follows [31][32][33][34]:…”

Section: Piezoelectric Functionally Graded Platesmentioning

confidence: 99%

New Finite Modeling of Free and Forced Vibration Responses of Piezoelectric FG Plates Resting on Elastic Foundations in Thermal Environments

Phuc

Khue

2021

Shock and Vibration

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This paper carries out free and forced vibration analysis of piezoelectric FGM plates resting on two-parameter elastic foundations placed in thermal environments. By employing the third-order shear deformation theory and the finite element method, this work establishes free and forced vibration equations of piezoelectric FGM plates, where the materials are assumed to be varied in the thickness directions, and the mechanical properties depend on the temperature. Then, comparative examples are conducted to verify the proposed theory and mathematical model, and the results of this study and other methods meet a very good agreement. Then, effects of geometrical and material properties such as the feedback coefficient, voltage, volume fraction index, temperature as well as the parameters of elastic foundations on free and forced vibration of the plates are investigated, and the conclusions are given out to provide the effective direction for the design and practical use of these structures.

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Section: Piezoelectric Functionally Graded Platesmentioning

confidence: 99%

New Finite Modeling of Free and Forced Vibration Responses of Piezoelectric FG Plates Resting on Elastic Foundations in Thermal Environments

Phuc

Khue

2021

Shock and Vibration

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“…e beam is made from two main components including ceramic (denoted as c) and metal (denoted as m) with the corresponding proportions V c and V m , which are calculated by the following function [33][34][35][36][37][38]:…”

Section: Finite Element Model Of Rotating Fgm Beams With Geometricalmentioning

confidence: 99%

Free Vibration Exploration of Rotating FGM Porosity Beams under Axial Load considering the Initial Geometrical Imperfection

Giang

2021

Mathematical Problems in Engineering

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In practice, some components in large structures such as the connecting rods between the rotating parts in the engines, turbines, and so on, can model as beam structures rotating around the fixed axis and subject to the axial compression load; therefore, the study of mechanical behavior to these structures has a significant meaning in practice. This paper analyzes the vibration responses of rotating FGM beams subjected to axial compressive loads, in which the beam is resting on the two-parameter elastic foundation, taking into account the initial geometrical imperfection. Finite element formulations are established by using the new shear deformation theory type of hyperbolic sine functions and the finite element method. The materials are assumed to be varied smoothly in the thickness direction of the beam based on the power-law function with the porosity. Verification problems are conducted to evaluate the accuracy of the theory, proposed mechanical structures, and the calculation programs coded in the MATLAB environment. Then, a parameter study is carried to explore the effects of geometrical and material properties on the vibration behavior of FGM beams, especially the influences of the rotational speed and axial compressive load.

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“…The displacement field that characterizes the Third-order Shear Deformation Theory (TSDT), for instance, determines a quadratic profile of shear strains and stresses along the thickness [ 7 , 8 ], due to its cubic expansion in the thickness coordinate. Consequently, there is no need for the shear correction factor [ 9 , 10 , 11 , 12 ]. The importance of these cubic terms in the analysis of laminates has been recently highlighted in the paper by Petrolo and Carrera [ 13 ], in which the best theory diagrams for multilayered structures have been widely discussed.…”

Section: Introductionmentioning

confidence: 99%

Third-Order Theory for the Bending Analysis of Laminated Thin and Thick Plates Including the Strain Gradient Effect

Bacciocchi

Tarantino

2021

Materials

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The aim of the paper is the development of a third-order theory for laminated composite plates that is able to accurately investigate their bending behavior in terms of displacements and stresses. The starting point is given by the corresponding Reddy’s Third-order Shear Deformation Theory (TSDT). This model is then generalized to consider simultaneously the Classical Laminated Plate Theory (CLPT), as well as the First-order Shear Deformation Theory (FSDT). The constitutive laws are modified according to the principles of the nonlocal strain gradient approach. The fundamental equations are solved analytically by means of the Navier methodology taking into account cross-ply and angle-ply lamination schemes. The numerical applications are presented to highlight the nonlocal effects on static behavior.

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Research on the Buckling Behavior of Functionally Graded Plates with Stiffeners Based on the Third-Order Shear Deformation Theory

Cited by 50 publications

References 29 publications

New Finite Modeling of Free and Forced Vibration Responses of Piezoelectric FG Plates Resting on Elastic Foundations in Thermal Environments

New Finite Modeling of Free and Forced Vibration Responses of Piezoelectric FG Plates Resting on Elastic Foundations in Thermal Environments

Free Vibration Exploration of Rotating FGM Porosity Beams under Axial Load considering the Initial Geometrical Imperfection

Third-Order Theory for the Bending Analysis of Laminated Thin and Thick Plates Including the Strain Gradient Effect

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