A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bi-directional functionally graded nanotubes based on the nonlocal strain gradient theory and high-order beam theory

DOI10.1016/J.ENGANABOUND.2022.06.007OpenAlexW4283162760WikidataQ113875199 ScholiaQ113875199MaRDI QIDQ2085894

Feng Pan, Zohre Moradi, Mohamed Amine Khadimallah, Tayebeh Mahmoudi, Pin Wang, Zhijian Gao

Publication date: 19 October 2022

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2022.06.007

zbMATH Keywords

bucklingTimoshenko theorynonlocal strain gradient theoryhigh-order theorytwo-dimensional functionally graded materialsZhang-Fu's tube model

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (3)

Bending and wave propagation analysis of axially functionally graded beams based on a reformulated strain gradient elasticity theory ⋮ Vibrational performance modeling for coupling of a full-ellipsoid shell with a cylindrical shell with a focus on flexibility at coupling and boundary conditions via the GDQ-meshless method ⋮ Coupled newmark beta technique and GDQ method for energy harvesting and vibration control of the piezoelectric MEMS/NEMS subjected to a blast load

Cites Work

• A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
• Nonlocal theories for bending, buckling and vibration of beams
• Higher-order nonlocal gradient elasticity: a consistent variational theory
• On the role of gradients in the localization of deformation and fracture
• Size dependent free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory with high order theories
• Vibrations of three-dimensionally graded nanobeams
• Integro-differential nonlocal theory of elasticity
• On vibration of functionally graded nano-tubes in the thermal environment
• Nonlinear vibration of axially functionally graded tapered microbeams
• Buckling analysis of arbitrary two-directional functionally graded Euler-Bernoulli nano-beams based on nonlocal elasticity theory
• Non-local analysis of free vibration of bi-directional functionally graded Euler-Bernoulli nano-beams
• Stress analysis of rotating nano-disks of variable thickness made of functionally graded materials
• Exact elasto-plastic analysis of rotating disks made of functionally graded materials
• Analysis of functionally graded nanodisks under thermoelastic loading based on the strain gradient theory
• Nonlinear size-dependent bending and forced vibration of internal flow-inducing pre- and post-buckled FG nanotubes
• Vibration analysis of nano-rotor's blade applying Eringen nonlocal elasticity and generalized differential quadrature method
• Vibration of two-dimensional imperfect functionally graded (2D-FG) porous nano-/micro-beams
• Primary and secondary resonance analysis of porous functionally graded nanobeam resting on a nonlinear foundation subjected to mechanical and electrical loads

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