带扩散的广义热弹性固体中移动荷载引起的二维相互作用

S·德斯瓦尔; S·乔德哈瑞

带扩散的广义热弹性固体中移动荷载引起的二维相互作用

S·德斯瓦尔¹,
S·乔德哈瑞²

1.
古鲁詹伯赫希瓦理工大学数学系,海沙125001,哈里亚纳邦,印度;2.戈维特学院数学系,纳尔瓦海沙125037,哈里亚纳邦,印度

详细信息

中图分类号: O343.6；O347.1
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出版历程
- 收稿日期: 2007-06-04
- 修回日期: 2007-11-09
- 刊出日期: 2008-02-15

Two-Dimensional Interactions Due to Moving Load in Generalized Thermoelastic Solid With Diffusion

Sunita Deswal¹,
Suman Choudhary²

1.
Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar 125001, Haryana, India;

摘要

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．
- 特征值逼近 /
- 矢量矩阵微分方程 /
- 热弹性扩散 /
- 广义热弹性 /
- 移动荷载 /
- Laplace和Fourier变换
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.
- eigen value approach /
- vector matrix differential equation /
- thermoelastic diffusion /
- generalized thermoelasticity /
- moving load /
- Laplace and Fourier transforms

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