EXACT SOLUTIONS FOR BUCKLING OF RECTANGULAR NANOPLATES VIA NONLOCAL THIRD-ORDER PLATE THEORY

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KERMAJANI M.; HOSSEINI HASHEMI SH.; NAZEMNEZHAD R.; AMIRABDOLLAHIAN SH.

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Journal: Modares Mechanical Engineering Year:2014 | Volume:13 | Issue:13 Page(s): 33-42

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Title

EXACT SOLUTIONS FOR BUCKLING OF RECTANGULAR NANOPLATES VIA NONLOCAL THIRD-ORDER PLATE THEORY

Author(s)

KERMAJANI M. | HOSSEINI HASHEMI SH. | NAZEMNEZHAD R. | AMIRABDOLLAHIAN SH. | Issue Writer Certificate

Keywords

EXACT ANALYTICAL SOLUTIONQ2

BUCKLINGQ2

NONLOCAL ELASTICITYQ2

REDDY PLATE THEORYQ2

Abstract

In this paper, exact closed-form solutions in explicit forms are presented to investigate small scale effects on the BUCKLING of Lévy-type rectangular nanoplates based on the Reddy’s nonlocal third-order shear deformation plate theory. Two other edges may be restrained by different combinations of free, simply supported, or clamped boundary conditions. Hamilton’s principle is used to derive the nonlocal equations of motion and natural boundary conditions of the nanoplate. Two comparison studies with analytical and numerical techniques reported in literature are carried out to demonstrate the high accuracy of the present new formulation. Comprehensive benchmark results with considering the small scale effects on BUCKLING load ratios and non-dimensional BUCKLING loads of rectangular nanoplates with different combinations of boundary conditions are tabulated for various values of nonlocal parameters, aspect ratios and thickness to length ratios. Due to the inherent features of the present exact closed-form solution, the present findings will be a useful benchmark for evaluating the accuracy of other analytical and numerical methods, which will be developed by researchers in the future. Also, the present study may be useful for static and dynamic analysis of thicker nano scale plate-like structures, multi-layer graphene and graphite as composite or sandwich structures.

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APA: Copy

KERMAJANI, M., HOSSEINI HASHEMI, SH., NAZEMNEZHAD, R., & AMIRABDOLLAHIAN, SH.. (2014). EXACT SOLUTIONS FOR BUCKLING OF RECTANGULAR NANOPLATES VIA NONLOCAL THIRD-ORDER PLATE THEORY. MODARES MECHANICAL ENGINEERING, 13(13), 33-42. SID. https://sid.ir/paper/178409/en

Vancouver: Copy

KERMAJANI M., HOSSEINI HASHEMI SH., NAZEMNEZHAD R., AMIRABDOLLAHIAN SH.. EXACT SOLUTIONS FOR BUCKLING OF RECTANGULAR NANOPLATES VIA NONLOCAL THIRD-ORDER PLATE THEORY. MODARES MECHANICAL ENGINEERING[Internet]. 2014;13(13):33-42. Available from: https://sid.ir/paper/178409/en

IEEE: Copy

M. KERMAJANI, SH. HOSSEINI HASHEMI, R. NAZEMNEZHAD, and SH. AMIRABDOLLAHIAN, “EXACT SOLUTIONS FOR BUCKLING OF RECTANGULAR NANOPLATES VIA NONLOCAL THIRD-ORDER PLATE THEORY,” MODARES MECHANICAL ENGINEERING, vol. 13, no. 13, pp. 33–42, 2014, [Online]. Available: https://sid.ir/paper/178409/en

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