Study of Waves Propagating in Anisotropic Homogeneous Microstretch Elastic Medium

نویسندگان

چکیده

The present study deals with the plane waves moving in a solid medium qualifying for anisotropic, homogeneous, microstretch and elastic properties. Primarily, Christoffel equations have been derived propagation of (coupled longitudinal coupled transverse) medium. A system homogeneous has established to polarization particles wave motion, microrotation Condition solvability linear applied derive an equation determining phase velocities propagating Using software Mathematica hypothetical values parameters constants, numerical discussion carried out see possible number arbitrarily chosen directions Finally, special case anisotropic (absence microstretch) discussed support results study.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Singular polarimetry: evolution of polarization singularities in electromagnetic waves propagating in a weakly anisotropic medium.

We describe the evolution of a paraxial electromagnetic wave characterizing by a non-uniform polarization distribution with singularities and propagating in a weakly anisotropic medium. Our approach is based on the Stokes vector evolution equation applied to a non-uniform initial polarization field. In the case of a homogeneous medium, this equation is integrated analytically. This yields a 3-d...

متن کامل

Antiplane surface acoustic waves propagating in elastic half-space coated with an anisotropic laminate

Dispersion relation of antiplane surface acoustic waves (SAWs) propagating in elastic half-space coated with an anisotropic laminate was determined explicitly by means of Stroh’s formalism within the subsonic range, where there is no energy leakage into the substrate. During the procedure, the governing dynamic equation in each anisotropic layer and the displacement–traction continuity at inter...

متن کامل

Apparent Attenuation of Shear Waves Propagating through a Randomly Stratified Anisotropic Medium

Waves propagating through heterogeneous media experience scattering that can convert a coherent pulse into small incoherent fluctuations. This may appear as attenuation for the transmitted front pulse. The classic O’Doherty-Anstey theory describes such a transformation for scalar waves in finely layered media. Recent observations for seismic waves in the earth suggest that this theory can expla...

متن کامل

Finite amplitude elastic waves propagating in compressible solids.

The paper studies the interaction of a longitudinal wave with transverse waves in general isotropic and unconstrained hyperelastic materials, including the possibility of dissipation. The dissipative term chosen is similar to the classical stress tensor describing a Stokesian fluid and is commonly used in nonlinear acoustics. The aim of this research is to derive the corresponding general equat...

متن کامل

A Problem in Microstretch Thermoelastic Diffusive Medium

The general solution of the equations for a homogeneous isotropic microstretch thermo elastic medium with mass diffusion for two dimensional problems is obtained due to normal and tangential forces. The Integral transform technique is used to obtain the components of displacements, microrotation, stress and mass concentration, temperature change and mass concentration. A particular case of inte...

متن کامل

ذخیره 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: Communications in Mathematics and Applications

سال: 2023

ISSN: ['0975-8607', '0976-5905']

DOI: https://doi.org/10.26713/cma.v14i1.2287