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 problem is concerned with the study of deformation of a rotating generalized thermoelastic medium under the influence of gravity.The components of displacement,force stress and temperature distribution are...The present problem is concerned with the study of deformation of a rotating generalized thermoelastic medium under the influence of gravity.The components of displacement,force stress and temperature distribution are obtained in Laplace and Fourier domain by applying integral transforms.These components are then obtained in the physical domain by applying a numerical inversion method.Some particular cases are also discussed in context of the problem.The results are also presented graphically to show the effect of rotation and gravity in the medium.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 problem is concerned with the study of deformation of a rotating generalized thermoelastic medium under the influence of gravity.The components of displacement,force stress and temperature distribution are obtained in Laplace and Fourier domain by applying integral transforms.These components are then obtained in the physical domain by applying a numerical inversion method.Some particular cases are also discussed in context of the problem.The results are also presented graphically to show the effect of rotation and gravity in the medium.
