Two-Dimensional Interactions Due to Moving Load in Generalized Thermoelastic Solid With Diffusion
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摘要: 当一个移动荷载沿着一个坐标轴作用在介质边界上时,研究了该具有广义热弹性扩散的均匀各向同性介质中的扰动.应用特征值逼近方法,研究了Laplace-Fourier变换域中的二维扰动问题.在Fourier扩展技术的基础上,利用Laplace数值逆变换技术,求解了位移分量、应力、温度场、浓度和化学势的解析表达式.数值计算了铜类材料的这些表达式,并给出有关图形.作为特殊情况,给出了广义热弹性介质和弹性介质中,扩散和热效应的理论结果和数值结果.Abstract: 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,are investigated.Eigen value approach was 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 were obtained in the physical domain by using a numerical technique for the inversion of Laplace transform based on Fourier expansion techniques.These expressions were calculated numerically for a copper like material and depicted graphically.As special cases,the results in generalized thermoelastic and elastic media were obtained to depict the diffusion and thermal effects in the medium theoretically and numerically.
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