Modeling shock waves in orthotropic elastic materials
نویسندگان
چکیده
منابع مشابه
Waves in Wood: Elastic Waves in Cylindrically Orthotropic Materials
We consider elastic waves in materials with cylindrical orthotropy, this being a plausible model for wood. For time-harmonic motions, the problem is reduced to some coupled ordinary differential equations. Previously, these have been solved using the method of Frobenius (power-series expansions). We use Neumann series (expansions in Bessel functions of various orders), motivated by the known cl...
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 کاملInterface 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 کاملSolitary Shock Waves and Periodic Shock Waves in a Compressible Mooney-Rivlin Elastic Rod
Weakly nonlinear waves in elastic rods have been studied by many authors. Most studies concentrated on smooth solutions only. However, when waves are of moderate length, non-smooth waves, such as peakons (or solitary shock waves), can arise (see Dai and Huo 2000). For strongly nonlinear waves (not assuming the smallness of the wave amplitude), as far as the authors are aware, only incompressibl...
متن کاملNumerical modeling of shock waves in biomedicine
We have developed a multi-phase compressible fluid solver that can handle shock waves efficiently and accurately. Using a level set formulation to treat sharp interfaces and employing multi-resolution techniques, we can study complex shock-bubble interactions. In this work, shock-induced bubble collapse interactions near a deformable interface are presented as a model for a simplified extracorp...
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: Journal of Applied Physics
سال: 2008
ISSN: 0021-8979,1089-7550
DOI: 10.1063/1.2970160