Reiner–Rivlin fluid model
E693899
The Reiner–Rivlin fluid model is a constitutive model in continuum mechanics that describes the nonlinear stress–strain behavior of certain non-Newtonian, viscoelastic fluids.
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
constitutive model
ⓘ
continuum mechanics concept ⓘ non-Newtonian fluid model ⓘ viscoelastic fluid model ⓘ |
| aimsTo | model complex fluid behavior with simple constitutive equations ⓘ |
| allows |
nonlinear dependence of stress on strain rate invariants
ⓘ
quadratic terms in rate-of-deformation tensor ⓘ |
| appliesTo |
incompressible fluids
ⓘ
isotropic fluids ⓘ |
| assumes |
isotropy of material response
ⓘ
material frame indifference ⓘ |
| basedOn |
Cauchy stress tensor
ⓘ
rate-of-deformation tensor ⓘ |
| captures |
normal stress effects in shear flows
ⓘ
shear-thickening behavior ⓘ shear-thinning behavior ⓘ |
| category | nonlinear continuum mechanics model ⓘ |
| characterizes | nonlinear relationship between stress and rate of strain ⓘ |
| contrastsWith |
linear viscoelastic models
ⓘ
purely Newtonian viscous models ⓘ |
| describes |
non-Newtonian fluids
ⓘ
nonlinear stress–strain behavior ⓘ viscoelastic fluids ⓘ |
| field |
continuum mechanics
ⓘ
non-Newtonian fluid mechanics ⓘ rheology ⓘ |
| generalizes | Newtonian fluid model ⓘ |
| includesParameter | material constants depending on invariants of strain rate ⓘ |
| influenced | development of modern non-Newtonian constitutive equations ⓘ |
| introducedBy |
Mark Reiner
NERFINISHED
ⓘ
Ronald S. Rivlin NERFINISHED ⓘ |
| isA | phenomenological model ⓘ |
| mathematicalForm | stress expressed as polynomial in invariants of rate-of-deformation tensor ⓘ |
| relatedTo |
Rivlin–Ericksen fluid
NERFINISHED
ⓘ
second-order fluid model ⓘ |
| satisfies |
isotropic tensor function representation theorems
ⓘ
objectivity requirement ⓘ |
| timePeriod | mid-20th century ⓘ |
| usedIn |
analysis of lubricants
ⓘ
analysis of polymeric liquids ⓘ theoretical rheology ⓘ viscoelastic flow modeling ⓘ |
| uses |
Rivlin–Ericksen tensors
NERFINISHED
ⓘ
objective tensor invariants ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.