Upper Convected Maxwell Model
The upper-convected Maxwell (UCM) model is a generalisation of the Maxwell material for the case of large deformations using the upper-convected time derivative. The model was proposed by James G. Oldroyd. The concept is named after James Clerk Maxwell.
The model can be written as:
where:
- is the stress tensor;
- is the relaxation time;
- is the upper-convected time derivative of stress tensor:
- is the fluid velocity
- is material viscosity at steady simple shear;
- is the tensor of the deformation rate.
Read more about Upper Convected Maxwell Model: Case of The Steady Shear, Case of Start-up of Steady Shear, Case of The Steady State Uniaxial Extension or Uniaxial Compression, Case of Small Deformation
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