4.7 Article

Viscoelastic mechanics of Timoshenko functionally graded imperfect microbeams

Journal

COMPOSITE STRUCTURES
Volume 225, Issue -, Pages -

Publisher

ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2019.110974

Keywords

Timoshenko functionally graded; Viscoelastic mechanics; Imperfect microbeam

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A Timoshenko functionally graded (TFG) imperfect microscale beam is considered and the coupled viscoelastic mechanics is analysed in a nonlinear regime. Based on the Timoshenko beam theory, incorporating geometric imperfections, the Kelvin-Voigt method is used for internal viscosity, the rotary inertia is automatically generated due to the Timoshenko theory, and the Mari-Tanaka scheme is used for the mixture. After utilising the constitutive stress/strain relations, Hamilton's principle is used giving three sets of coupled motion equations. A discretisation is performed using Galerkin's method and numerical simulations, for mechanical behaviour analysis, are built upon a continuation method.

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