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2023
DOI: 10.3390/app131810037
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Oscillating Nonlinear Acoustic Waves in a Mooney–Rivlin Rod

Anastasia Karakozova,
Sergey Kuznetsov

Abstract: Harmonic wave excitation in a semi-infinite incompressible hyperelastic 1D rod with the Mooney–Rivlin equation of state reveals the formation and propagation of the shock wave fronts arising between faster and slower moving parts of the initially harmonic wave. The observed shock wave fronts result in the collapse of the slower moving parts being absorbed by the faster parts; hence, to the attenuation of the kinetic and the elastic strain energy with the corresponding heat generation. Both geometrically and ph… Show more

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Cited by 2 publications
(1 citation statement)
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“…Rubber is an isotropic material that can be simulated using the Mooney-Rivlin [28] constitutive model with tensile strain smaller than 100% and compressive strain smaller than 30%. The strain energy of rubber materials could break down into two parts: strain bias energy as well as voluminal strain energy.…”
Section: Design Principle 221 Materials Propertiesmentioning
confidence: 99%
“…Rubber is an isotropic material that can be simulated using the Mooney-Rivlin [28] constitutive model with tensile strain smaller than 100% and compressive strain smaller than 30%. The strain energy of rubber materials could break down into two parts: strain bias energy as well as voluminal strain energy.…”
Section: Design Principle 221 Materials Propertiesmentioning
confidence: 99%