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This contribution deals with the modeling of viscoelastic and shrinkage effects accompanying the curing of polymers at multiple length scales.
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.
Many applications of fractional differential equations in the areas of solid mechanics and modeling of viscoelastic damping, electrochemical processes, dielectric polarization, colored noise, bioengineering, and various branches of science and engineering could be found, among others, in [1].
This uplift pattern is well known and is explained by the numerical modeling of viscoelastic relaxation and afterslip (Ozawa et al. 2012; Sun et al. 2014; Diao et al. 2014; Silverii et al. 2014; Yamagiwa et al. 2015).
These appear in the modeling of viscoelastic inelastic flows [1], plate deflection theory [2], and deformation of beams, arches, load bearing members like street lights, and robotic arms in multi-purpose engineering systems where elastic members serve as key members for shedding and transmitting loads [3, 4].
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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.
In the present work an assessment of a time-domain formulation for numerical modelling of viscoelastic materials is made.
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.
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.
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