Nh. Scott et M. Hayes, CONSTANT AMPLITUDE ACCELERATION-WAVES IN A PRESTRAINED INCOMPRESSIBLEISOTROPIC ELASTIC SOLID, Mathematics and mechanics of solids, 2(3), 1997, pp. 291-295
It is known that all transverse plane acceleration waves that propagat
e through a homogeneously deformed Mooney-Rivlin material do so withou
t a change in amplitude. Here it is shown that the Mooney-Rivlin mater
ial is the only incompressible isotropic hyperelastic material that pe
rmits transverse plane acceleration waves to propagate in any directio
n without a change in amplitude, regardless of the homogeneous prestra
in.