Planar Travelling Waves in Incompressible Elastic Rods
نویسندگان
چکیده
منابع مشابه
Interface waves in almost incompressible elastic materials
We study the problem of two elastic half-planes in contact and the Stoneley interface wave that may exist at the interface between two different elastic materials, emphasis is put on the case when the half-planes are almost incompressible. We show that numerical simulations involving interface waves requires an unexpectedly high number of grid points per wavelength as the materials become more ...
متن کاملRegularity Properties of Planar Motions of Incompressible Rods
This paper treats the quasilinear evolution equations governing the planar motions of incompressible rods. Since incompressibility is here a 2dimensional phenomenon, a thickness variable enters the governing equations in an essential and novel way. These equations have a mathematical structure strikingly different from that for compressible rods. In contrast to the case for compressible rods, t...
متن کاملOn Rayleigh waves in incompressible orthotropic elastic solids.
In this paper the secular equation for the Rayleigh wave speed in an incompressible orthotropic elastic solid is obtained in a form that does not admit spurious solutions. It is then shown that inequalities on the material constants that ensure positive definiteness of the strain-energy function guarantee existence and uniqueness of the Rayleigh wave speed. Finally, an explicit formula for the ...
متن کاملShear Waves Through Non Planar Interface Between Anisotropic Inhomogeneous and Visco-Elastic Half-Spaces
A problem of reflection and transmission of a plane shear wave incident at a corrugated interface between transversely isotropic inhomogeneous and visco-elastic half-spaces is investigated. Applying appropriate boundary conditions and using Rayleigh’s method of approximation expressions for reflection and transmission coefficients are obtained for the first and second order approximation of the...
متن کاملStabilityofdeformations of Elastic Rods
Mechanics is a fascinating field of physics. Its main purpose is to study the interaction of particles in the presence of forces such as gravity. In contrast to the dynamics of particles, the study of continuous media, such as elastic bodies, is challenging and still today not entirely well-understood. This is due to the fact that continuous media behave in numerous and complex ways. For exampl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Methods and Applications of Analysis
سال: 2004
ISSN: 1073-2772,1945-0001
DOI: 10.4310/maa.2004.v11.n3.a13