NONLOCAL MECHANICAL BUCKLING ANALYSIS OF NANO SINGLE LAYER SHEETS USING DIFFERENTIAL QUADRATURE METHOD

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SADEGHIAN M.; JABBARZADEH M.

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Paper Information

Journal: JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING) Year:2013 | Volume:6 | Issue:SPECIAL ISSUE 2 (19) Page(s): 25-35

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Title

NONLOCAL MECHANICAL BUCKLING ANALYSIS OF NANO SINGLE LAYER SHEETS USING DIFFERENTIAL QUADRATURE METHOD

Author(s)

SADEGHIAN M. | JABBARZADEH M. | Issue Writer Certificate

Keywords

MECHANICAL BUCKLINGQ3

CIRCULARQ2

NONLOCAL ELASTICITYQ2

DIFFERENTIAL QUADRATURE METHODQ2

Abstract

The following article investigates buckling of moderately thick CIRCULAR Nano plates with an orthotropic property under uniform radial compressive in-plane mechanical load. Taking into account NONLOCAL ELASTICITY theory (Eringen), principle of virtual work, first order shear deformation plate theory (FSDT) and nonlinear Von-Karman strains, the governing equations are obtained based on the displacements. The stability equations are derived from the neighbor equilibrium state. The DIFFERENTIAL QUADRATURE METHOD (DQM) as a numerical procedure is applied to discretize the derivatives of equations with a non-uniform mesh point distribution (Chebyshev-Gauss-Lobatto). The accuracy of the present results is validated by comparing the solutions with those reported in the available literatures. The effect of nonlocal parameter, thickness and radius are investigated on non-dimension of buckling loads. From results, it is possible to see that the non-dimension of buckling load of Graphene sheets increases by decreasing flexibility of boundary condition and increasing the rate of nonlocal parameter. It is possible to observe that by increasing the non-dimensional thickness of the plate, the non-dimension of buckling load reduces.

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APA: Copy

SADEGHIAN, M., & JABBARZADEH, M.. (2013). NONLOCAL MECHANICAL BUCKLING ANALYSIS OF NANO SINGLE LAYER SHEETS USING DIFFERENTIAL QUADRATURE METHOD. JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING), 6(SPECIAL ISSUE 2 (19)), 25-35. SID. https://sid.ir/paper/171413/en

Vancouver: Copy

SADEGHIAN M., JABBARZADEH M.. NONLOCAL MECHANICAL BUCKLING ANALYSIS OF NANO SINGLE LAYER SHEETS USING DIFFERENTIAL QUADRATURE METHOD. JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING)[Internet]. 2013;6(SPECIAL ISSUE 2 (19)):25-35. Available from: https://sid.ir/paper/171413/en

IEEE: Copy

M. SADEGHIAN, and M. JABBARZADEH, “NONLOCAL MECHANICAL BUCKLING ANALYSIS OF NANO SINGLE LAYER SHEETS USING DIFFERENTIAL QUADRATURE METHOD,” JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING), vol. 6, no. SPECIAL ISSUE 2 (19), pp. 25–35, 2013, [Online]. Available: https://sid.ir/paper/171413/en

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