Dynamic buckling of functionally graded multilayer graphene nanocomposite annular plate under different boundary conditions in thermal environment

Allahkarami, Farshid

doi:10.1007/s00366-020-01169-7

Cited by 13 publications

(3 citation statements)

References 52 publications

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“…One effective way to suppress the locking is to indirectly interpolate the T/S strains using the idea of MITC3+ shell element [40], as described in Appendix A. The analytic calculation of Equations (A1) and (A2) in the Appendix A using Equations ( 11) and ( 15), together with the chain rule between the physical and master coordinates (x, y) and (ξ, η) in Figure 3, leads to Meanwhile, the matrix equations of linear buckling problem can be obtained from the virtual work principle given by δU − δ W ext = 0 (26) where the virtual strain energy δU and the virtual work done δ W ext in our problem are defined by [29]…”

Section: Natural Element Buckling Load Approximationmentioning

confidence: 99%

“…Karimi Zeverdejani et al [25] analyzed the buckling and post-buckling of FG-GPLRC laminated composite plates by applying the incremental-iterative Ritz method to FSDT with von Kármán nonlinearity. Allahkarami [26] analyzed the dynamic thermal buckling behavior of FG-GPLRC annular plate by applying the generalized DQM to FSDT. Zhang et al [27] presented a multiscale numerical method to analyze the static, dynamic, and buckling behaviors of FG beams with a randomly graded GPL distribution.…”

Section: Introductionmentioning

confidence: 99%

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Investigation of Buckling Behavior of Cracked FG Cylindrical Panels Reinforced by Graphene Platelets

Cho

2023

Symmetry

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The buckling behavior of a functionally graded graphene-platelet-reinforced composite (FG-GPLRC) was traditionally investigated, mostly with respect to its undamaged structures. In this context, the current study investigated the buckling behavior of an FG-GPLRC cylindrical panel with an anti-symmetric central crack by introducing a 2-D extended natural element method (XNEM). The displacement was basically expressed with the first-order shear deformation theory (FSDT) and approximated using Laplace interpolation functions (for the non-singular displacement part) and crack-tip singular functions (for the singular displacement part) without grid refinement around the crack tips. The complex numerical manipulation on the curved shell surface was resolved by geometrically transforming the curved shell surface to a 2-D planar rectangular NEM grid. The painstaking numerical locking was suppressed by adopting the concept of a stabilized MITC3+ shell element. The validity of the developed numerical method was examined through a benchmark test, and the fundamental buckling loads of cracked FG-GPLRC cylindrical panels were investigated in depth by changing the major parameters. The numerical results also included a comparison with the FG-CNTRC. The numerical results indicated that the developed numerical method effectively predicts the buckling loads with reasonable accuracy, and that the fundamental buckling load of cracked FG-GPLRC cylindrical panels are remarkably influenced by the inclination angle and length of the crack as well as the other associated parameters.

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Section: Natural Element Buckling Load Approximationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Investigation of Buckling Behavior of Cracked FG Cylindrical Panels Reinforced by Graphene Platelets

Cho

2023

Symmetry

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“…Zhang et al [21] studied thermal buckling response of orthotropic thin plate by using finite integral transform (FIT) approach. Allahkarami [22] analyzed dynamic stability of functionally graded graphene platelet-reinforced composite (FG-GPLRC) by using FSDT. Wu et al [23] studied the post-buckling response of isotropic rectangular plate by using CUF, refined plate theory including the Green-Lagrange strain components for nonlinear analysis.…”

Section: Introductionmentioning

confidence: 99%

Thermal post-buckling analysis of graded sandwich curved structures under variable thermal loadings

Sahoo

Mehar²,

Sahoo

et al. 2021

Engineering with Computers

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In the present research, finite element solutions of thermal post-buckling load-bearing strength of functionally graded (FG) sandwich shell structures are reported by adopting a higher-order shear deformation type kinematics. For the numerical calculation, nine nodes are considered for each element. A specialized MATLAB code is developed incorporating the present mathematical model to evaluate the numerical buckling temperature. The Green-Lagrange nonlinear strain is adopted for the formulation of the sandwich structure. The eigenvalue equation of the FG sandwich structure is solved to predict the postbuckling temperature values of the structure. Moreover, three kinds of temperature distributions across the panel thickness are assumed, viz., uniform, linear and nonlinear. In addition, the properties are described using the power law distributions. The numerical solutions are first validated and, subsequently, the impact of alterations of structural parameters, viz., the curvature ratios, core-face thickness ratios, support conditions and power law index (n Z ) including the amplitude ratio on the thermal post-buckling response of FG sandwich curved panels have been studied in details. The investigation reveals different interesting outcomes, which may help for future references for the analysis and design of the graded sandwich structure.

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Porosity-dependent vibration analysis of FG microplates embedded by polymeric nanocomposite patches considering hygrothermal effect via an innovative plate theory

Arshid

Khorasani

Soleimani‐Javid

et al. 2021

Engineering with Computers

132

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Dynamic buckling of functionally graded multilayer graphene nanocomposite annular plate under different boundary conditions in thermal environment

Cited by 13 publications

References 52 publications

Investigation of Buckling Behavior of Cracked FG Cylindrical Panels Reinforced by Graphene Platelets

Investigation of Buckling Behavior of Cracked FG Cylindrical Panels Reinforced by Graphene Platelets

Thermal post-buckling analysis of graded sandwich curved structures under variable thermal loadings

Porosity-dependent vibration analysis of FG microplates embedded by polymeric nanocomposite patches considering hygrothermal effect via an innovative plate theory

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