共查询到7条相似文献,搜索用时 0 毫秒
1.
《European Journal of Mechanics - A/Solids》2006,25(2):271-282
The response of a micropolar thermoelastic medium possessing cubic symmetry with one relaxation time due to time harmonic sources has been investigated. Fourier transform has been employed and the transform has been 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 have been compared for micropolar cubic crystal and isotropic micropolar solid. The numerical results are illustrated graphically for a particular material. Some special cases have also been deduced. 相似文献
2.
《International Journal of Solids and Structures》2006,43(9):2761-2798
The present problem is the deformation of micropolar thermoelastic solids with cubic symmetry under the influence of various sources acting on the plane surface. Analytic expressions for displacement components, microrotation, force stress, couple stress, and temperature distribution are obtained in the physical domain for Lord–Shulman (L–S) and Green–Lindsay (G–L) theories of thermoelasticity by applying integral transforms. A numerical inversion technique has been applied to obtain the solution in the physical domain. The numerical results are presented graphically for a particular model. 相似文献
3.
In this paper, the effect of angle inclination at the interface of a viscous fluid and thermoelastic micropolar honeycomb solid due to inclined load is investigated. The inclined load is assumed to be a linear combination of normal load and tangential load. Laplace transform with respect to time variable and Fourier transform with respect to space variable are applied to solve the problem. Expressions of stresses, temperature distribution, and pressures in the transformed domain are obtained by introducing potential functions. The numerical inversion technique is used to obtain the solution in the physical domain. The frequency domain expressions for steady state are also obtained with appropriate change of variables. Graphic representations due to the response of different sources and changes of angle inclination are shown. Some particular cases are also discussed. 相似文献
4.
Rajneesh Kumar Manjeet Singh 《应用数学和力学(英文版)》2007,28(5):627-641
A problem concerned with the reflection and refraction of thermoelastic plane waves at an imperfect interface between two generalized thermally conducting cubic crystal solid half-spaces of different elastic and thermal properties with two relaxation times has been investigated. The generalized thermoelastic theory with two relaxation times developed by Green and Lindsay has been used to study the problem. The expressions for the reflection and refraction coefficients which are the ratios of the amplitudes of reflected and refracted waves to the amplitude of incident waves are obtained for an imperfect boundary and deduced for normal stiffness, transverse stiffness, thermal contact conductance, slip and welded boundaries. Amplitude ratios of different reflected and refracted waves for different boundaries with angle of emergence have been compared graphically for different incident waves. It is observed that the amplitude ratios of reflected and refracted waves are affected by the stiffness and thermal properties of the media. 相似文献
5.
由运动内热源引起的磁热黏弹性问题的研究 总被引:1,自引:1,他引:0
在具有两个热松弛时间的广义热弹性理论下, 研究了处于定常磁场中的均布各向同性黏弹性半空间中, 由以均匀速度运动的线热源引起的瞬态波问题. 通过引入黏弹性向量势和热黏弹性标量势,问题退化为求解3个偏微分方程. 运用Laplace变换(对时间变量)和Fourier变换(对一个空间变量), 得到了变换域内应力和位移的解析表达式. 采用级数展开法, 得到了边界位移在小时间范围内的近似解, 给出了解的近似范围, 同时还研究了两种特例:(1)热源静止不动, (2)不考虑热松弛时间的影响. 最后对于丙烯酸塑料介质给出了数值结果. 相似文献
6.
7.
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. 相似文献