# FINITE-AMPLITUDE INHOMOGENEOUS PLANE WAVES IN A DEFORMED MOONEY-RIVLIN MATERIAL

@article{Destrade2000FINITEAMPLITUDEIP, title={FINITE-AMPLITUDE INHOMOGENEOUS PLANE WAVES IN A DEFORMED MOONEY-RIVLIN MATERIAL}, author={Michel Destrade}, journal={Quarterly Journal of Mechanics and Applied Mathematics}, year={2000}, volume={55}, pages={109-126} }

The propagation of small-amplitude inhomogeneous plane waves in an isotropic homogeneous incompressible Mooney-Rivlin material is considered when the material is maintained in a state of finite static homogeneous deformation. Disturbances of complex exponential type are sought and all propagating inhomogeneous solutions to the equations of motion are given, as well as the conditions for linear, elliptical, or circular polarization. It is seen that a great variety of solutions arises. These…

## 14 Citations

Small-amplitude inhomogeneous plane waves in a deformed Mooney–Rivlin material

- 2001

The propagation of small-amplitude inhomogeneous plane waves in an isotropic homogeneous incompressible Mooney–Rivlin material is considered when the material is maintained in a state of finite…

Superposition of finite- amplitude waves propagating in a principal plane of a deformed Mooney- Rivlin material

- Physics
- 2012

Abstract Here we consider finite-amplitude wave motions in Mooney–Rivlin elastic materials which are first subjected to a static homogeneous deformation (prestrain). We assume that the time-dependent…

Circularly-polarized plane waves in a deformed Hadamard material

- Physics
- 2002

Abstract Small-amplitude inhomogeneous plane waves propagating in any direction in a homogeneously deformed Hadamard material are considered. Conditions for circular polarization are established. The…

Superposition of transverse and longitudinal finite-amplitude waves in a deformed Blatz—Ko Material

- Physics
- 2007

In this paper, special Blatz—Ko nonlinear elastic materials are considered, which are characterized by a constitutive constant and a constitutive function. We here deal with the propagation of…

Circularly polarized plane waves in a deformed Hadamard material

- 2002

Small-amplitude inhomogeneous plane waves propagating in any direction in a homogeneously deformed Hadamard material are considered. Conditions for circular polarization are established. The analysis…

Finite-Amplitude Damped Inhomogeneous Waves in a Deformed Blatz-Ko Material

- Physics
- 2005

In this paper special Blatz-Ko nonlinear elastic materials are considered, which are characterized by a constitutive constant and a constitutive function. We deal with the propagation of…

Title Circularly-polarized plane waves in a deformed Hadamardmaterial

- 2020

Small amplitude inhomogeneous plane waves propagating in any direction in a homogeneously deformed Hadamard material are considered. Conditions for circular polarization are established. The analysis…

Finite-amplitude inhomogeneous waves in Mooney–Rivlin viscoelastic solids

- Physics
- 2004

New exact solutions are exhibited within the framework of finite viscoelasticity. More precisely, the solutions correspond to finite-amplitude, transverse, linearly polarized, inhomogeneous motions…

Finite-amplitude inhomogeneous waves in Mooney – Rivlin viscoelastic solids

- 2004

New exact solutions are exhibited within the framework of finite viscoelasticity. More precisely, the solutions correspond to finite-amplitude, transverse, linearly polarized, inhomogeneous motions…

Title Finite amplitude inhomogeneous waves in Mooney-Rivlinviscoelastic solids

- 2018

New exact solutions are exhibited within the framework of finite viscoelasticity. More precisely, the solutions correspond to finiteamplitude, transverse, linearly-polarized, inhomogeneous motions…

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