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Mainardi [15] considered the problems in continuum mechanics related to mathematical modelling of viscoelastic bodies.
The mechanical modelling of viscoelastic cracked bodies is still a challenge in engineering structures field.
The use of fractional derivatives for the mathematical modelling of viscoelastic material is quite natural.
In the present work an assessment of a time-domain formulation for numerical modelling of viscoelastic materials is made.
This paper deals with the modelling of viscoelastic respiratory fluids in the mucus layer of the human trachea with a view toward the design of improved inhaled medication.
The theoretical foundations related to the modelling of viscoelastic systems and stochastic finite element models are first reviewed, followed by a description of the parameterisation technique.
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They arise in the mathematical modeling of viscoelastic and inelastic flows, deformation of beams and plate deflection theory [21 23].
For the modeling of viscoelastic relaxation, we assumed a two-layered structure that consists of an elastic layer overlying a Maxwell viscoelastic half-space.
Various models of viscoelastic behavior assume linearity, so they must be applied to biological materials with caution.
This work presents a multi-scale model of viscoelastic constrained layer damping treatments for vibrating plates/beams.
Several models of viscoelastic behaviour of the PDL, based on approaches by Maxwell, Voigt and, Kelvin-Voigt, were proposed (Fill et al. 2012).
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