Mooney–Rivlin solid
Hyperelastic material model / From Wikipedia, the free encyclopedia
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In continuum mechanics, a Mooney–Rivlin solid[1][2] is a hyperelastic material model where the strain energy density function is a linear combination of two invariants of the left Cauchy–Green deformation tensor . The model was proposed by Melvin Mooney in 1940 and expressed in terms of invariants by Ronald Rivlin in 1948.
The strain energy density function for an incompressible Mooney–Rivlin material is[3][4]
where and are empirically determined material constants, and and are the first and the second invariant of (the unimodular component of [5]):
where is the deformation gradient and . For an incompressible material, .