The present paper is concerned with the investigation of disturbances in＇a homogeneous, isotropic elastic medium with generalized thermoelastic diffusion, when a moving source is acting along one of the co-ordinate a...The present paper is concerned with the investigation of disturbances in＇a homogeneous, isotropic elastic medium with generalized thermoelastic diffusion, when a moving source is acting along one of the co-ordinate axis on the boundary of the medium. Eigen value approach is applied to study the disturbance in Laplace-Fourier transform domain for a two dimensional problem. The analytical expressions for displacement components, stresses, temperature field, concentration and chemical potential are obtained in the physical domain by using a numerical technique for the inversion of Laplace transform based on Fourier expansion techniques. These expressions are calculated numerically for a copper like material and depicted graphically. As special cases, the results in generalized thermoelastic and elastic media are obtained. Effect of presence of diffusion is analyzed theoretically and numerically.展开更多
The present article is concerned with the propagation of plane waves in a homogeneous,fiber-reinforced orthotropic thermoelastic ro-tating half-space in the context of three-phase-lag model.There exist three coupled w...The present article is concerned with the propagation of plane waves in a homogeneous,fiber-reinforced orthotropic thermoelastic ro-tating half-space in the context of three-phase-lag model.There exist three coupled waves,namely,quasi-longitudinal P-wave(qP),quasi-longitudinal thermal wave(qT)and quasi-transverse wave(qSV)in the medium.The reflection coefficients are computed numerically with the help of MATLAB programming and are depicted graphically to show the effects of rotation,fiber-reinforcement and phase lag parameters.The expressions of energy ratios have also been obtained in explicit form and are shown graphically as functions of angle of incidence.It has been verified that during reflection phenomena,the sum of energy ratios is equal to unity at each angle of incidence.Effect of anisotropy is depicted on velocities of various reflected waves.Some particular cases of interest have also been inferred from the present investigation.展开更多
文摘The present paper is concerned with the investigation of disturbances in＇a homogeneous, isotropic elastic medium with generalized thermoelastic diffusion, when a moving source is acting along one of the co-ordinate axis on the boundary of the medium. Eigen value approach is applied to study the disturbance in Laplace-Fourier transform domain for a two dimensional problem. The analytical expressions for displacement components, stresses, temperature field, concentration and chemical potential are obtained in the physical domain by using a numerical technique for the inversion of Laplace transform based on Fourier expansion techniques. These expressions are calculated numerically for a copper like material and depicted graphically. As special cases, the results in generalized thermoelastic and elastic media are obtained. Effect of presence of diffusion is analyzed theoretically and numerically.
文摘The present article is concerned with the propagation of plane waves in a homogeneous,fiber-reinforced orthotropic thermoelastic ro-tating half-space in the context of three-phase-lag model.There exist three coupled waves,namely,quasi-longitudinal P-wave(qP),quasi-longitudinal thermal wave(qT)and quasi-transverse wave(qSV)in the medium.The reflection coefficients are computed numerically with the help of MATLAB programming and are depicted graphically to show the effects of rotation,fiber-reinforcement and phase lag parameters.The expressions of energy ratios have also been obtained in explicit form and are shown graphically as functions of angle of incidence.It has been verified that during reflection phenomena,the sum of energy ratios is equal to unity at each angle of incidence.Effect of anisotropy is depicted on velocities of various reflected waves.Some particular cases of interest have also been inferred from the present investigation.
