| 半无限带状各向异性材料的应力效应衰减估计 |
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| 引用本文： | 蔡崇喜,林长好.半无限带状各向异性材料的应力效应衰减估计[J].应用数学和力学,1999,20(3):286-294. |
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| 作者姓名： | 蔡崇喜 林长好 |
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| 作者单位： | 1.中山大学应用力学与工程系, 广州 510275; |
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| 摘 要： | 对带端面负载的半无限带状各向异性弹性材料建立了Saint-Venant原理.应用能量方法确立了应力效应衰减率的下界,得出了用各向异性材料的弹性常量表示的估计显式.最后,为了说明所得结果,对带端面负载、纤维偏离主轴的石墨-环氧树脂的衰减率给出数值实例.
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| 关 键 词： | Saint-Venant原理 四阶椭圆方程 能量方法 材料各向异性 应力衰减估计 |
| 收稿时间： | 1997-10-20 |
Stress Effect Decay Estimates for Anisotropic Material in a Semi-Infinite Strip |
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| Cai Chongxi,Lin Changhao.Stress Effect Decay Estimates for Anisotropic Material in a Semi-Infinite Strip[J].Applied Mathematics and Mechanics,1999,20(3):286-294. |
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| Authors: | Cai Chongxi Lin Changhao |
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| Institution: | 1.Zhongshan University, Guangzhou 510275, P. R. China;2.South China Normal University, Guangzhou 510631, P. R. China |
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| Abstract: | In this paper, Saint_Venant's principle for anisotropic material in an end_loaded. semi_infinite elastic strip is established. Energy method is used to establish the lower bounds of the decay estimate of stress effect. An explicit estimate formula in terms of the elastic constants of the anisotropic materials is presented. Finally, a numerical example for an end_loaded, off_axis, graphite_epoxy strip is given to illustrate the results. |
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| Keywords: | Saint_Venant's principle fourth order elliptic equation energy method material anisotropy stress decay estimate |
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