正交异性半无限固支板条的弹性解

Elastostatic Solutions for Semi-Infinite Orthotropic Cantilevered Strips

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.
- 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
Abstract: The elastostatic solutions of semi-infinite orthotropic cantilevered strips with traction free edges and loading at infinity are governed by the differential equation Φ_1yyyy+(2+δ₀)Φ_1yyxx+Φ_1zzzz=0 with δ₀ >-4 Based on the work of [10] for δ₀>0 case,.this paper completes the case for δ₀=0 isotropic materials and the case 0>δ₀>-4 for orthotropic materials. The solutions of the above problems have important application in the properly formulated boundary conditions of plate theories for prescribed displacement edge data.
- semi-infinite orthotropic strip /
- stress singularity at clamped end /
- generalized Cauchy type singular integral equation

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