The present problem is concerned with the study of deformation of a rotating generalized thermoelastic solid with an overlying infinite thermoelastic fluid due to different forces acting along the interface under the ...The present problem is concerned with the study of deformation of a rotating generalized thermoelastic solid with an overlying infinite thermoelastic fluid due to different forces acting along the interface under the influence of gravity.The components of displacement,force stress,and temperature distribution are first obtained in Laplace and Fourier domains by applying integral transforms,and then obtained in the physical domain by applying a numerical inversion method.Some particular cases are also discussed in the 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
The response of a micropolar thermoelastic medium possessing cubic symmetry with two relaxation times due to time harmonic sources is investigated. Fourier transform is employed and the transform is inverted by using ...The response of a micropolar thermoelastic medium possessing cubic symmetry with two relaxation times due to time harmonic sources is investigated. Fourier transform is employed and the transform is inverted by using a numerical inversion technique. The components of displacement, stress, microrotation and temperature distribution in the physical domain are obtained numerically. The results of normal displacement, normal force stress, tangential couple stress and temperature distribution are compared for micropolar cubic crystal and micropolar isotropic solid. The numerical results are illustrated graphically for a particular material. Some special cases are also deduced.展开更多
The analytic expressions for the displacement components and stresses at a point of an orthotropic micropolar elastic medium with an overlying elastic half space as a result of moving inclined load of arbitrary orient...The analytic expressions for the displacement components and stresses at a point of an orthotropic micropolar elastic medium with an overlying elastic half space as a result of moving inclined load of arbitrary orientation were obtained. The inclined load was assumed to be a linear combination of a normal load and a tangential load. The eigen value approach using Fourier transforms was employed and the transform was inverted by using a numerical technique.The numerical results were illustrated graphically for aluminium epoxy composite.展开更多
The present problem is concerned with the deformation of an infinite fibre-reinforced generalized thermoe-lastic medium with hydrostatic initial stress under the influence of mechanical force. The normal mode analysis...The present problem is concerned with the deformation of an infinite fibre-reinforced generalized thermoe-lastic medium with hydrostatic initial stress under the influence of mechanical force. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress and temperature distribution. The numerical results are given and presented graphically for Green -Lindsay [4] theory of thermoelasticity. Comparisons are made in the presence and absence of hydrostatic initial stress and anisotropy.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 problem is concerned with the study of deformation of a rotating generalized thermoelastic solid with an overlying infinite thermoelastic fluid due to different forces acting along the interface under the influence of gravity.The components of displacement,force stress,and temperature distribution are first obtained in Laplace and Fourier domains by applying integral transforms,and then obtained in the physical domain by applying a numerical inversion method.Some particular cases are also discussed in the context of the problem.The results are also presented graphically to show the effect of rotation and gravity in the medium.
文摘The response of a micropolar thermoelastic medium possessing cubic symmetry with two relaxation times due to time harmonic sources is investigated. Fourier transform is employed and the transform is inverted by using a numerical inversion technique. The components of displacement, stress, microrotation and temperature distribution in the physical domain are obtained numerically. The results of normal displacement, normal force stress, tangential couple stress and temperature distribution are compared for micropolar cubic crystal and micropolar isotropic solid. The numerical results are illustrated graphically for a particular material. Some special cases are also deduced.
文摘The analytic expressions for the displacement components and stresses at a point of an orthotropic micropolar elastic medium with an overlying elastic half space as a result of moving inclined load of arbitrary orientation were obtained. The inclined load was assumed to be a linear combination of a normal load and a tangential load. The eigen value approach using Fourier transforms was employed and the transform was inverted by using a numerical technique.The numerical results were illustrated graphically for aluminium epoxy composite.
文摘The present problem is concerned with the deformation of an infinite fibre-reinforced generalized thermoe-lastic medium with hydrostatic initial stress under the influence of mechanical force. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress and temperature distribution. The numerical results are given and presented graphically for Green -Lindsay [4] theory of thermoelasticity. Comparisons are made in the presence and absence of hydrostatic initial stress and anisotropy.
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.