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首页> 外文期刊>Quarterly of Applied Mathematics >AN EXACT SOLUTION TO A PROBLEM OF AXISYMMETRIC TORSION OF AN ELASTIC SPACE WITH A SPHERICAL CRACK
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AN EXACT SOLUTION TO A PROBLEM OF AXISYMMETRIC TORSION OF AN ELASTIC SPACE WITH A SPHERICAL CRACK

机译:具有球形裂纹的弹性空间轴对称扭转问题的精确解

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摘要

It is a well-known fact that the three-dimensional axisymmetric dilata-tion problem for an elastic space containing a spherical crack has an explicit solution, found and analyzed in [l]-[3]. The corresponding torsion problem, however, also of interest, has not apparently been investigated. To remedy this shortage we present here an exact solution to this problem, which incidentally reveals a remarkable effect concerning the stress intensity.
机译:众所周知的事实是,对于包含球形裂纹的弹性空间的三维轴对称膨胀问题具有明确的解决方案,该问题在[1]-[3]中找到并进行了分析。然而,显然还没有研究相应的扭转问题。为了解决这一不足,我们在此提出了一个解决该问题的精确方法,这顺便揭示了有关应力强度的显着影响。

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