| 在重力作用下的上覆无限热弹性流体对广义热弹性固体转动的影响 |
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| 引用本文： | P· 艾拉瓦利亚,N·S·纳拉. 在重力作用下的上覆无限热弹性流体对广义热弹性固体转动的影响[J]. 应用数学和力学, 2009, 30(12). DOI: 10.3879/j.issn.1000-0887.2009.12.003 |
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| 作者姓名： | P· 艾拉瓦利亚 N·S·纳拉 |
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| 作者单位： | 1. 莫哈里虚玛坎德斯瓦大学 M M工程学院,数学系,哈里亚纳邦,印度
2. D A V学院,数学系,安巴拉市,哈里亚纳邦,印度 |
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| 摘 要： | 计及上覆无限热弹性流体的重力作用,沿界面有不同的外力作用时,研究广义热弹性固体的旋转变形问题.在Laplace和Fourier域内,通过积分变换,得到了位移、应力及温度分布的表达式.然后在物理域内,应用数值逆变换方法,得到这些分量的值,并讨论了该问题的一些特例.结果以图形方式给出,显示了介质的旋转以及重力作用的影响.
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| 关 键 词： | 旋转 重力 广义热弹性 热弹性流体 Laplace变换 Fourier变换 温度分布 |
Effect of Rotation in Generalized Thermoelastic Solid Under the Influence of Gravity With an Overlying Infinite Thermoelastic Fluid |
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| Praveen Ailawalia,Naib Singh Narah. Effect of Rotation in Generalized Thermoelastic Solid Under the Influence of Gravity With an Overlying Infinite Thermoelastic Fluid[J]. Applied Mathematics and Mechanics, 2009, 30(12). DOI: 10.3879/j.issn.1000-0887.2009.12.003 |
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| Authors: | Praveen Ailawalia Naib Singh Narah |
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| Abstract: | The present problem was 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 were obtained in Laplace and Fourier domain by applying integral transforms.These components were then obtained in the physical domain by applying a numerical inversion method.Some particular cases were also discussed in context of the problem.The results are also presented graphically to show the effect of rotation and gravity in the medium. |
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| Keywords: | rotation gravity generalized thermoelasticity thermoelastic fluid Laplace and Fourier transforms temperature distribution |
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