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The advantage of the fractional derivatives in theory of viscoelasticity is that it affords possibilities for obtaining constitutive equations for elastic complex modulus of viscoelastic materials with only few experimentally determined parameters [15].
The temperature-dependent characteristics of complex shear modulus of viscoelastic core are accounted.
The complex modulus of viscoelastic material is considered to depend on the frequency of parametric loading.
Moreover, the optima of three design variables, the CLD coverage length, location on the beam and the shear modulus of viscoelastic layer, are highly relevant to each other.
A genetic algorithm-based penalty function method is employed to search for the optimum of location/length of the CLD patch and the shear modulus of viscoelastic layer.
Temperature dependent material properties of FGM stiff layer and shear modulus of viscoelastic layer are considered to carry out buckling and vibration analysis.
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The effective modulus of the viscoelastic material is obtained through the homogenization method.
One of the most influential factors of the complex modulus of a viscoelastic material is the frequency of excitation.
The Young's modulus of the viscoelastic beam is the time-dependent operator, which is defined either via the Kelvin Voigt fractional derivative model or via the standard linear solid fractional derivative model.
From the experimental results a material model with fractional derivatives is proposed for the shear complex modulus of the viscoelastic adhesive film.
This paper addresses an inverse approach to estimate the frequency-dependent Young's modulus of a viscoelastic polymer layer in a laminated structure.
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