Propagation of wave at the boundary surface of transversely isotropic thermoelastic material with voids and isotropic elastic half-space  

作　　者：Rajneesh KUMAR Rajeev KUMAR 

机构地区：[1]Department of Mathematics,Kurukshetra University,Kurukshetra 136119,India

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第9期1153-1172,共20页应用数学和力学（英文版）

基　　金：the Council of Scientific and Industrial Research (CSIR) for the financial support

摘　　要：The purpose of this research is to study the effect of voids on the surface wave propagation in a layer of a transversely isotropic thermoelastic material with voids lying over an isotropic elastic half-space. The frequency equation is derived after developing a mathematical model for welded and smooth contact boundary conditions. The dispersion curves giving the phase velocity and attenuation coefficient via wave number are plotted graphically to depict the effects of voids and anisotropy for welded contact boundary conditions. The specific loss and amplitudes of the volume fraction field, the normal stress, and the temperature change for welded contact are obtained and shown graphically for a particular model to depict the voids and anisotropy effects. Some special cases are also deduced from the present investigation.The purpose of this research is to study the effect of voids on the surface wave propagation in a layer of a transversely isotropic thermoelastic material with voids lying over an isotropic elastic half-space. The frequency equation is derived after developing a mathematical model for welded and smooth contact boundary conditions. The dispersion curves giving the phase velocity and attenuation coefficient via wave number are plotted graphically to depict the effects of voids and anisotropy for welded contact boundary conditions. The specific loss and amplitudes of the volume fraction field, the normal stress, and the temperature change for welded contact are obtained and shown graphically for a particular model to depict the voids and anisotropy effects. Some special cases are also deduced from the present investigation.

关 键 词：propagation of wave transverse isotropy thermoelastic with voids isotropic elastic half-spaze phase velocity attenuation coefficient 

分 类 号：O345[理学—固体力学] O343.6[理学—力学]