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Everything about Maxwell model

Model of viscoelastic material

In fluid mechanics, a Maxwell model is the simplest model viscoelastic material showing properties of a typical liquid. It shows viscous flow on the long timescale, but additional elastic resistance to fast deformations. It is named for James Clerk Maxwell who proposed the model in 1867. It is also known as a Maxwell fluid. A generalization of the scalar relation to a tensor equation lacks motivation from more microscopic models and does not comply with the concept of material objectivity. However, these criteria are fulfilled by the Upper-convected Maxwell model. Wikipedia →

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  1. Read the overview: Maxwell modelA 5-minute orientation
  2. Skim a recent paper: Approximate contact force model for viscoelastic materials based on generalized Maxwell modelInfluential work since 2022
  3. Pick up a classic book: Introduction to optical waveguide analysisThe most-reprinted book on the subject
  4. Read the landmark paper: Fractional‐Derivative Maxwell Model for Viscous DampersCited 291 times
  5. Go sideways: ViscoelasticityA closely related topic
  6. Go sideways: Kelvin–Voigt materialA closely related topic

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