| 正交异性半无限固支板条的弹性解 |
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| 引用本文： | 林逸汉.正交异性半无限固支板条的弹性解[J].应用数学和力学,1993,14(11):1009-1016. |
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| 作者姓名： | 林逸汉 |
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| 作者单位： | 复旦大学应用力学系 |
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| 摘 要： | 正交异性半无限固支板条在表面为应力自由和在无穷远处受载时的弹性解的控制微分方程为φ,yyyy+(2+δ0)φ,yyzz+φ,zzzz=0(δ0>-4).基于文献10]对δ0>0情形的工作,本文完成对各向同性材料δ0=0和正交异性材料0>δ0>-4情形的讨论.上述问题的解在边界位移数据给定情形的板理论的边界条件的合理提法方面有重要应用.
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| 关 键 词： | 半无限正交异性板条 固端应力奇异性 广义柯西型奇异积分方程 |
| 收稿时间： | 1992-11-09 |
Elastostatic Solutions for Semi-Infinite Orthotropic Cantilevered Strips |
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| Lin Yi-han.Elastostatic Solutions for Semi-Infinite Orthotropic Cantilevered Strips[J].Applied Mathematics and Mechanics,1993,14(11):1009-1016. |
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| Authors: | Lin Yi-han |
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| Institution: | Department of Applied Mechanics, Fudan University, Shanghai |
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| Abstract: | The clustostalic solutions of semi-infinite orthotropic cantilevered strips with traction free edges and loading at infinity are governed by the differential equation , + (2 + d0)0+ 0,0 with <30>-4.Based on the work of 1] for case, this paper completes the rase <50 = 0 for isot'ropic materials and the case >-4 for orthotropir materials. The solutions of the above problems have important application in the properly formulated boundary renditions of plate theories for prescribed displacement edge data. |
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| Keywords: | Semi-infinite orthotropic strip stress singularity at the clamped end generalized Cauchy type singular integral equation |
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