| 具有立方对称性及两个弛豫时间的微极热弹性介质中调和时间源引起的变形 |
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| 引用本文： | R·库玛,P·额拉瓦尼亚. 具有立方对称性及两个弛豫时间的微极热弹性介质中调和时间源引起的变形[J]. 应用数学和力学, 2006, 27(6): 690-700 |
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| 作者姓名： | R·库玛 P·额拉瓦尼亚 |
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| 作者单位： | 库鲁克西察大学 数学系,库鲁克西察 那亚那 000000,印度;2.工程和显示技术学院 应用科学系,索兰 000000,印度 |
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| 摘 要： | 研究了具有立方对称性及两个弛豫时间的微极热弹性介质在调和时间源中的响应．采用了Fourier变换以及数值逆变换技术．在物理域中，得到了位移、应力、微转动和温度分布的数值结果．将微极立方晶体法向位移、法向力应力、切向耦合应力和温度分布的计算结果，与微极各向同性固体的结果进行比较．绘制了指定材料的数值结果图形．还推断了某些特殊情况的结果．
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| 关 键 词： | 调和时间 热弹性 微极介质 立方对称性 微转动 Fourier变换 |
| 文章编号： | 1000-0887（2006）06-0690-11 |
| 收稿时间： | 2005-05-23 |
| 修稿时间： | 2005-08-18 |
Deformation Due to Time Harmonic Sources in Micropolar Thermoelastic Medium Possessing Cubic Symmetry With Two Relaxation Times |
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| Rajneesh Kunar,Praveen Ailawalia. Deformation Due to Time Harmonic Sources in Micropolar Thermoelastic Medium Possessing Cubic Symmetry With Two Relaxation Times[J]. Applied Mathematics and Mechanics, 2006, 27(6): 690-700 |
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| Authors: | Rajneesh Kunar Praveen Ailawalia |
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| Affiliation: | Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India, 136119; |
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| Abstract: | The response of a micropolar thermoelastic medium possessing cubic symmetry with two relaxation times due to time harmonic sources has been investigated. Fourier transform was employed and the transform was inverted by using a rumerical inversion technique. The components of displacement, stress, microrotaUon and temperature distribution in the physical domain were obtained numerically. The results of normal displacement, normal force stress,tangential couple stress and temperature distrilbution were compared for micropolar cubic crystal and micropolar isotropic solid. The numerical results were illustrated graphically for a particular material. Some special cases were also de duced. |
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| Keywords: | time harmonic thermoelastic micropolar medium cubic symmetry microrotation Fourier transform |
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