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The material behavior is modeled using Lennard Jones type interatomic potential function.
The material stress strain behavior is modeled using bilinear and elastic plastic relations.
The strong and weak axis buckling behavior is modeled using a strut-and-tie model.
The viscoelastic behavior is modeled using the so-called Kelvin Voigt viscoelastic damping model.
Moreover, the dependence can be characterized using the second invariant of the prestrain, and the viscoelastic behavior is modeled using a closed-form spectrum of relaxation times.
During ultrafiltration enzyme pre-treated apple juice, the flux decline behavior is modeled using Hermia's approach for constant pressure dead-end filtration laws.
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The viscoplastic fluid behavior was modeled using the Herschel-Bulkley constitutive equation.
This behavior was modeled using an analytical solution based on Fick's second law of diffusion.
The extractor hydrodynamics and mass transfer behavior were modeled using the non-equilibrium backflow mixing cell model.
The non-linear elastic behavior was modeled using 2nd order Ogden hyperelastic formulations, and viscoelasticity was modeled using the quasi-linear theory of viscoelasticity.
The relaxation behavior was modeled using the Curie von Schweidler (CS) and Havriliak Negami (HN) relationships.
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