2018
DOI: 10.3390/coatings8110389
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Non-Local Buckling Analysis of Functionally Graded Nanoporous Metal Foam Nanoplates

Abstract: In this study, the buckling of functionally graded (FG) nanoporous metal foam nanoplates is investigated by combining the refined plate theory with the non-local elasticity theory. The refined plate theory takes into account transverse shear strains which vary quadratically through the thickness without considering the shear correction factor. Based on Eringen’s non-local differential constitutive relations, the equations of motion are derived from Hamilton’s principle. The analytical solutions for the bucklin… Show more

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Cited by 18 publications
(3 citation statements)
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“…The influence of hygrothermal environment, elastic foundation and nano-scale effect on wave dispersion of FG nanoplates was discussed by Karami et al [20]. Using the refined plate theory, Wang and Zhang [21] investigated buckling behavior of functionally graded nanoplates with nano-porous metal foam. Barati and Shahverdi [22] proposed novel Hamiltonian approach for nonlinear vibration analysis of nonlocal four-variable porous FG nanoplates.…”
Section: Introductionmentioning
confidence: 99%
“…The influence of hygrothermal environment, elastic foundation and nano-scale effect on wave dispersion of FG nanoplates was discussed by Karami et al [20]. Using the refined plate theory, Wang and Zhang [21] investigated buckling behavior of functionally graded nanoplates with nano-porous metal foam. Barati and Shahverdi [22] proposed novel Hamiltonian approach for nonlinear vibration analysis of nonlocal four-variable porous FG nanoplates.…”
Section: Introductionmentioning
confidence: 99%
“…Owing to non-uniform nanoporosity distribution, mass densities ρ ( z ), Young’s modulus E ( z ), and shear modulus μ ( z ) of the nanoshell are functions of position and can be written as [ 69 , 70 , 71 , 72 , 73 , 74 ]:…”
Section: Fg Npmf Circular Cylindrical Nanoshellsmentioning
confidence: 99%
“…One notable area of interest is the development of ultrathin mesoporous nanoplates supported on foam substrates for advanced electrode applications, such as supercapacitors [10]. The study of functionally graded nanoporous metal foam nanoplates has also demonstrated excellent fracture toughness and high electrical conductivities, making them suitable for thin film elements in various engineering applications [11]. Combining nanoporous structures with foam substrates enhances these materials' overall properties and performance.…”
Section: Introductionmentioning
confidence: 99%