| 圆柱正交异性体三维弹性问题的一个解法 |
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| 引用本文： | 伍章健,罗祖道.圆柱正交异性体三维弹性问题的一个解法[J].固体力学学报,1993,14(1):16-24. |
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| 作者姓名： | 伍章健 罗祖道 |
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| 作者单位： | 清华大学，上海交通大学 北京 100084，200030 |
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| 摘 要： | 本文从三维弹性力学基本方程出发,导出了圆柱正交异性体三维弹性静、动态问题的状态方程,并进而求得以位移表达的控制方程.还对横观各向同性体的轴对称问题给出了一个完备闭合解.文中算例计算了一个横观各向同性组合圆柱体的轴对称问题.
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| 关 键 词： | 弹性力学 三维问题 圆柱体 |
AN APPROACH TO THREE-DIMENSIONAL ELASTICITY PROBLEM OF CYLINDRICAL ORTHOTROPIC BODIES |
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| Wu Zhangjian.AN APPROACH TO THREE-DIMENSIONAL ELASTICITY PROBLEM OF CYLINDRICAL ORTHOTROPIC BODIES[J].Acta Mechnica Solida Sinica,1993,14(1):16-24. |
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| Authors: | Wu Zhangjian |
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| Abstract: | A state equation for static or dynamic thermal elastic problems of cylindrical orthotropic bodies is de-rived from the three-dimensional theory of elasticity.By series expansion,the respectire governing equa-tions for displacement components can then be obtained,and for simplicity the case of axisymmetry isformulated in the paper.A complete solution for axisymmetric problem of transverse isotropic bodies isgiven.As illustration,an axisymmetric problem of a combined-cylinder made of two transverse isotropicmaterials is also included.It reveals some interesting and significant results. |
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| Keywords: | cylinder orthotropic body elasticity state equation complete solution |
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