Thermal buckling and postbuckling responses of geometrically imperfect FG porous beams based on physical neutral plane

Babaei, Hadi; Eslami, M. R.; Khorshidvand, Ahmad Reza

doi:10.1080/01495739.2019.1660600

Cited by 30 publications

(9 citation statements)

References 42 publications

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“…In other words, the thermal load is too small to cause thermal postbuckling in the plates, as illustrated in Figure 28 by the coincided black vertical lines representing zero deflection, and in Figure 32 by the coincided black trivial deflection functions representing zero deflection. Figures 23,24,[26][27][28][29]and 32 show that the deflection is inversely proportional to the plate thickness, that is, h.…”

Section: Discussion and Numerical Resultsmentioning

confidence: 99%

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Axisymmetric nonlinear behavior of functionally graded saturated poroelastic circular plates under thermo-mechanical loading

Panah

Khorshidvand

Khorsandijou

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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In functionally graded saturated poroelastic circular plates with immovable simply supported and clamped rims, the axisymmetric nonlinear bending under transverse thermo-mechanical loading has been parametrically studied and compared with the axisymmetric postbuckling and nonlinear bending under thermal loading. Based on the classical plate theory, Love–Kirchhoff hypotheses and Sander’s assumptions, the general coupled nonlinear radial and transverse equilibrium equations, central continuity, symmetry and boundary conditions has been derived in ordinary and state-spatial forms. The corresponding difference equations have been achieved by using the generalized differential quadrature method. The equations have been assembled and numerically solved by using the Newton–Raphson iterative algorithm. The effects of the mechanical and thermal loads, pore distribution type, porosity parameter, Skempton’s coefficient, and thickness and boundary condition type on the behavior of the deflection, whether caused by thermo-mechanical bending, thermal postbuckling, or thermal bending, have been investigated in detail. From the parametric study, a novel quantity determining bending behavior has been found. The axisymmetric themo-mechanical nonlinear bending deflection is inversely and nonlinearly proportional to thermal load when the quantity is greater than a critical value and is nonlinearly proportional to thermal load when the quantity is less than a critical value. It was verified that the plate behavior complies with the general rules known for FG saturated poroelastic circular plates and with those known for metal–ceramic functionally graded circular plates whose governing equations are mathematically analogous to those of the current research.

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Section: Discussion and Numerical Resultsmentioning

confidence: 99%

“…In state-space, the simply supported boundary conditions at the plate rim are represented by the difference equations (28) in terms of the global vector of the plate states…”

Section: Governing Difference Equationsmentioning

confidence: 99%

Axisymmetric nonlinear behavior of functionally graded saturated poroelastic circular plates under thermo-mechanical loading

Panah

Khorshidvand

Khorsandijou

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…Furthermore, Babaei et al. 26 examined thermal buckling and post-buckling responses of FG porous beams with geometrical imperfection.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, they found that the structure's vibration and post-buckling performances are affected by the pores' and GPLs' distribution types. Furthermore, Babaei et al 26 examined thermal buckling and post-buckling responses of FG porous beams with geometrical imperfection.…”

Section: Introductionmentioning

confidence: 99%

Size-dependent vibration analysis of fluid-infiltrated porous curved microbeams integrated with reinforced functionally graded graphene platelets face sheets considering thickness stretching effect

Arshid

Amir

2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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Size-dependent vibration analysis of three-layered fluid-infiltrated porous curved microbeams, which are integrated with nanocomposite face sheets, is provided in this work. The effect of the fluids within the pores of the core is taken into consideration and the core’s thermomechanical properties vary across the thickness based on three different patterns. Also, the face sheets are made from epoxy, which are reinforced by graphene platelets as lightweight and high-stiffness reinforcements. Graphene platelets dispersion patterns are also considered, which obey three different functions, namely parabolic, linear, and uniform. Moreover, effective thermomechanical properties of the face sheets are determined with the aid of ERM and Halpin–Tsai micromechanical models. The microstructure is under thermal load and it is rested on Pasternak elastic foundation. In the polar coordinate system, the strains are determined for deep curved beams that lead to more accurate results. Based on a refined higher-order shear deformation theory, which includes four variables and considers the thickness stretching effect, and employing the modified couple stress theory for accounting the size effect, the differential motion equations are derived and via an analytical method, they are solved. A verification study is conducted by neglecting some parameters and after that, the results are presented and discussed in detail. It is seen that the porous core and nanocomposite face sheets material properties have significant effects on the vibrational response of the under consideration model. Up to now, no similar work in the available literature has been found, therefore, the results of this study can be considered as a benchmark for future ones. The outcomes of this study may help to design more efficient structures with the desired properties.

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“…Zhang et al [6] investigated the thermal buckling of the ceramic-metal structures using the local kriging meshless method based on the local Petrov-Galerkin weak-form formulation and shape functions. Loss of stability under thermal load was also investigated by Babai et al [7]. The analysis was performed on a functionally graded (FG) porous beam using the third-order shear deformation and physical neutral plane theories.…”

Section: Introductionmentioning

confidence: 99%

Multi-Mode Buckling Analysis of FGM Channel Section Beams

Zaczynska

Kaźmierczyk

2020

Materials

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The interactive buckling phenomenon in thin-walled channel section beams is investigated in this paper. This study deals with medium length beams made of the step-variable functionally graded materials (FGM) which consists of aluminum and titanium layers. The interaction of local, primary and secondary global buckling mode and their effect on the load-carrying capacity is discussed. The parametric studies are performed to assess the effect of the thickness of the beam’s component, its length and position of the individual layer on the equilibrium paths. Additionally, the influence of the adhesive layer between materials was analyzed. The problem was solved using the Finite Element Method.

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Thermal buckling and postbuckling responses of geometrically imperfect FG porous beams based on physical neutral plane

Cited by 30 publications

References 42 publications

Axisymmetric nonlinear behavior of functionally graded saturated poroelastic circular plates under thermo-mechanical loading

Axisymmetric nonlinear behavior of functionally graded saturated poroelastic circular plates under thermo-mechanical loading

Size-dependent vibration analysis of fluid-infiltrated porous curved microbeams integrated with reinforced functionally graded graphene platelets face sheets considering thickness stretching effect

Multi-Mode Buckling Analysis of FGM Channel Section Beams

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