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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