Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter

Abstract : A size-dependent novel hyperbolic shear deformation theory of simply supported functionally graded beams is presented in the frame work of the non-local strain gradient theory, in which the stress accounts for only the nonlocal strain gradients stress field. The thickness stretching effect (epsilon(z) not equal 0) is also considered here. Elastic coefficients and length scale parameter are assumed to vary in the thickness direction of functionally graded beams according to power-law form. The governing equations are derived using the Hamilton principle. The closed-form solutions for exact critical buckling loads of nonlocal strain gradient functionally graded beams are obtained using Navier's method. The derived results are compared with those of strain gradient theory.
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Submitted on : Friday, August 24, 2018 - 2:57:21 PM
Last modification on : Thursday, September 12, 2019 - 10:58:04 AM

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Mohammed Sid Ahmed Houari, Aicha Bessaim, Fabrice Bernard, Abdelouahed Tounsi, S. R. Mahmoud. Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter. Steel and Composite Structures, Techno-press, 2018, 28 (1), pp.13-24. ⟨10.12989/scs.2018.28.1.013⟩. ⟨hal-01861472⟩

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