A new elastoviscoplastic model based on the Herschel-Bulkley viscoplasticity
Résumé
The aim of this paper is to introduce a new three-dimensional elastoviscoplastic model that combines both the Oldroyd viscoelastic model and the Heshell-Bulkley viscoplastic model with a power-law index $n>0$. The present model is founded to satisfy the second law of thermodynamics. Various fluids of practical interest, such as liquid foams, droplet emulsions or blood, present such elastoviscoplastic behavior: at low stress, the material behaves as a viscoelastic solid, whereas at stresses above a yield stress, the material behaves as a fluid. When $n=1$, a recently introduced elastoviscoplastic model proposed by the author is obtained. When $01$, the material exhibits the less usual shear thickening behavior.
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