Mooney-Rivlin theory
E710332
constitutive model
continuum mechanics theory
hyperelastic material model
nonlinear elasticity model
Mooney-Rivlin theory is a constitutive model in continuum mechanics that describes the nonlinear elastic behavior of rubber-like materials using a specific strain energy function.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| Mooney-Rivlin constitutive equation | 1 |
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
constitutive model
ⓘ
continuum mechanics theory ⓘ hyperelastic material model ⓘ nonlinear elasticity model ⓘ |
| aimsTo | capture nonlinear stress-strain response with few parameters ⓘ |
| appliesTo |
elastomers
ⓘ
incompressible isotropic materials ⓘ rubber-like materials ⓘ |
| assumes |
hyperelastic material response
ⓘ
isotropic material behavior ⓘ material frame indifference ⓘ nearly incompressible behavior for rubber ⓘ path-independent elastic response ⓘ |
| basedOn | strain energy density function ⓘ |
| characterizedBy |
Mooney-Rivlin constants C1 and C2
ⓘ
two material constants ⓘ |
| contrastsWith | linear elasticity theory ⓘ |
| describes |
large strain behavior
ⓘ
nonlinear elastic behavior ⓘ |
| developedBy |
Melvin Mooney
NERFINISHED
ⓘ
Ronald S. Rivlin NERFINISHED ⓘ |
| developedIn | 20th century ⓘ |
| field |
continuum mechanics
ⓘ
rheology ⓘ solid mechanics ⓘ |
| generalizes | neo-Hookean model NERFINISHED ⓘ |
| governs | stress-strain relationship in rubber-like solids ⓘ |
| influenced | later hyperelastic constitutive models ⓘ |
| isSpecialCaseOf |
phenomenological hyperelastic models
ⓘ
polynomial hyperelastic models ⓘ |
| mathematicallyFormulatedAs | strain energy function W = C1 (I1 − 3) + C2 (I2 − 3) for incompressible materials ⓘ |
| relatedTo |
Arruda-Boyce model
NERFINISHED
ⓘ
Ogden hyperelastic model NERFINISHED ⓘ Yeoh hyperelastic model NERFINISHED ⓘ neo-Hookean theory NERFINISHED ⓘ |
| requires | experimental calibration of material constants ⓘ |
| typeOf | invariant-based hyperelastic model ⓘ |
| usedFor |
analysis of rubber-like biological tissues
ⓘ
design of rubber seals and gaskets ⓘ finite element analysis of rubber components ⓘ fitting experimental stress-strain data of rubber ⓘ |
| usedIn |
aerospace industry
ⓘ
automotive industry ⓘ biomechanics ⓘ engineering design of rubber components ⓘ |
| uses |
first invariant of the right Cauchy-Green tensor
ⓘ
invariants of the Cauchy-Green deformation tensor ⓘ second invariant of the right Cauchy-Green tensor ⓘ |
| validFor | large deformations ⓘ |
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Mooney-Rivlin constitutive equation