| 多层材料悬臂梁受力的解析解 |
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| 引用本文： | 王振,牛月锦. 多层材料悬臂梁受力的解析解[J]. 鲁东大学学报, 2013, 0(3): 267-274 |
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| 作者姓名： | 王振 牛月锦 |
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| 作者单位： | 大连理工大学数学科学学院,辽宁大连116024 |
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| 摘 要： | 研究了不连续材料问题中的分层材料悬臂梁问题.首先,由弹性力学基本理论给出固体力学中的控制方程及交界面条件;其次,对于分层悬臂梁问题,通过设一个应力函数并通过力学基本方程给出应力、应变及位移的含参表达式;最后通过边界条件来求解应力及位移解.
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| 关 键 词： | 多层材料悬臂梁 解析解 弹性力学 应力 位移 |
The Analytical Solution of the Sandwiches Cantilever Beam |
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| WANG Zhen,NIU Yue-jin. The Analytical Solution of the Sandwiches Cantilever Beam[J]. Ludong University Journal (Natural Science Edition), 2013, 0(3): 267-274 |
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| Authors: | WANG Zhen NIU Yue-jin |
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| Affiliation: | ( School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China) |
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| Abstract: | The sandwiches cantilever beam which often appeared in composite materials science has been studied. The governing equations and interface conditions for solid mechanics problems from the elastic theory are presented firstly. Then a stress function is supposed,which can be used to describe the strain and displacement function. According to the boundary conditions, the stress and displacement solutions are obtained finally. |
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| Keywords: | sandwiches cantilever beam analytical solution elastic strain displacement |
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