On functionally graded Timoshenko nonisothermal nanobeams

Abstract The paper deals with the mechanics of nanobeams within nonisothermal environments. Mechanical behaviour is assumed to be time-independent and suitable for the statical beam deformation. The nanobeam mechanics is based on the Timoshenko kinematics, augmented by nonlocality effects as advocated by Eringen. Following a thermodynamic approach, a sound framework oriented toward anisotropic materials is developed. Such nanobeam model is especially suited for functionally graded materials. The proposed procedure is tested on two examples. The first example investigates mechanical behaviour in the more general way for the different temperature distributions, while the second one is oriented toward specific carbon nanotube – Poly(methyl methacrylate) nanocomposite.

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