DYNAMIC ANALYSIS OF A GRADIENT ELASTIC POLYMERIC FIBER |
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Authors: | ,
KYXu
,
KAAlnefaie
,
NHAbu-Hamdeh
,
KHAlmitani
,
ECAifantis |
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Institution: | 1. Department of Mechanics, Shanghai University, Shanghai 200444, China 2. Department of Mechanical Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia 3. Department of Mechanical Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia;Lab of Mechanics and Materials, Polytechnic School, Aristotle University, Thessaloniki 54124, Greece |
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Abstract: | A dynamic analysis of an elastic gradient-dependent polymeric fiber subjected to a periodic excitation is considered. A nonlinear gradient elasticity constitutive equation with strain–dependent gradient coefficients is first derived and the dispersive wave propagation properties for its linearized counterpart are briefly discussed. For the linearized problem a variational formulation is also developed to obtain related boundary conditions of both classical (standard) and non-classical (gradient) type. Analytical solutions in the form of Fourier series for the fiber's displacement and strain fields are provided. The solutions depend on a dimensionless scale parameter (the diameter to length radio d = D/L) and, therefore, size effects are captured. |
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Keywords: | gradient elasticity polymeric fibers periodic excitations size effects |
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