Large post-buckling behavior of Timoshenko beams under axial compression loads

Akbaş, Şeref Doğuşcan

doi:10.12989/sem.2014.51.6.955

Cited by 7 publications

(1 citation statement)

References 32 publications

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“…Ansari et al [26] predicted post-thermomechanical buckling response of nonlocal Euler-Bernoulli SWCNTs by considering thermal and axial in-plane forces. Akbas [27] studied post-critical stability with a large behavior for axially compressed the Timoshenko beam model. Ansari et al [28] employed nonlocal elasticity theory to examine size-dependent effects for a Timoshenko SWCNT under buckling and postbuckling conditions.…”

Section: Introductionmentioning

confidence: 99%

Post-critical buckling of truncated conical carbon nanotubes considering surface effects embedding in a nonlinear Winkler substrate using the Rayleigh-Ritz method

Malikan

Eremeyev

2020

Mater. Res. Express

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This research predicts theoretically post-critical axial buckling behavior of truncated conical carbon nanotubes (CCNTs) with several boundary conditions by assuming a nonlinear Winkler matrix. The post-buckling of CCNTs has been studied based on the Euler-Bernoulli beam model, Hamilton's principle, Lagrangian strains, and nonlocal strain gradient theory. Both stiffness-hardening and stiffness-softening properties of the nanostructure are considered by exerting the second stressgradient and second strain-gradient in the stress and strain fields. Besides small-scale influences, the surface effect is also taken into consideration. The effect of the Winkler foundation is nonlinearly taken into account based on the Taylor expansion. A new admissible function is used in the Rayleigh-Ritz solution technique applicable for buckling and post-buckling of nanotubes and nanobeams. Numerical results and related discussions are compared and reported with those obtained by the literature. The significant results proved that the surface effect and the nonlinear term of the substrate affect the CCNT considerably.

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Section: Introductionmentioning

confidence: 99%