Nonlocal buckling analysis of functionally graded nano-plates subjected to biaxial linearly varying forces

作者: Ma’en S. Sari , Samantha Ceballes , Abdessattar Abdelkefi

DOI: 10.1007/S00542-017-3590-7

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摘要: The buckling problem of a thin, rectangular, functionally graded (FG) nano-plate with varying boundary conditions subjected to biaxial linearly forces is investigated utilizing the Eringen’s nonlocal theory. plates are modeled using Kirchoff’s classical plate theory and mechanical properties FG nano-plates vary continuously through thickness following power law model. governing differential equations motion loads derived Hamilton’s principle, along constitutive relations. Chebyshev spectral collocation method then utilized solve for critical loads. A parametric study performed examine impacts parameter, index, aspect ratio, slopes axial loads, on nano-plates. It shown that these parameters have significant influence stability characteristics

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