具有双曲线边界的各向异性介质的二维问题

胡元太; 赵兴华

具有双曲线边界的各向异性介质的二维问题

上海大学, 上海市应用数学和力学研究所上海 200072

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出版历程
- 收稿日期: 1994-01-15
- 修回日期: 1994-10-05
- 刊出日期: 1995-05-15

Two-Dimensional Prohlem of Anisotro Fic Elastic Bodywith a Hyperbolic Boundary

Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China

摘要

摘要: 文章研究了在纯弯矩M₀作用下,具双曲线边界的各向异性介质的二维变形问题,求得了介质内部的应力应变场的具体形式,在此基础上,以单晶铝板(立方晶系介质)为例,我们求得了沿双曲线边界的环向应力及x₂=0面上的应力分布,当双曲线退化成一双边裂纹时,文章也求得了相应的应力强度因子(k₁,k₂,k₃),并且也发现,k₁与材料的弹性性质无关。
- Stroh方法 /
- 双边裂纹 /
- 应力强度因子
Abstract: The general and shnplified formula for anisotropic medium with a hyperbolic boundary subjected to pure bending M₀ is provided in this paper. The stress and strain fields in medium are obtained. Based upon the above results, we analyse the hoop stress along the hyperbolic curve and the stress distributions on the plane x₂=0 for aluminium(cubic crystal). When the boundary curve degenerates into an external crack three kinds of stress intensity factors(k₁, k₂, k₃) are obtained, and it is easily found that the first stress intensio, factor k₁ is independent of the material constants.
- Stroh’s formalism /
- external crack /
- stress intensity factor

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参考文献(19)

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