受r^n分布载荷的楔:佯谬的解决 |
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引用本文: | 丁皓江 彭南陵. 受r^n分布载荷的楔:佯谬的解决[J]. 力学学报, 1997, 29(1): 62-73. DOI: 10.6052/0459-1879-1997-1-1995-197 |
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作者姓名: | 丁皓江 彭南陵 |
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作者单位: | 浙江大学土木系岩土工程所,310027 |
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摘 要: | 对表面受与rn(n≥0)成正比的分布载荷的楔,当楔顶角2α与n之间满足一定关系时,经典解为无穷大,这是一个佯谬.本文采用复变函数方法,研究了这个佯谬的所有情形,并发现存在二次佯谬,即对某些特定的(n,α),佯谬解仍为无穷大,对此本文也予以解决
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关 键 词: | 楔体 佯谬 弹性力学 |
THE WEDGE SUBJECTED TO TRACTIONS IN PROPORTION TO r n : A PARADOX OX RESOLVED |
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Abstract: | The classical solution for the stress distribution in an elastic wedge subjeted to tractions in proportion to r n(n0) becomes infinite when the wedge angle 2α and n satisfy certain relations. This paradox has been resolved by Demsey and Ting when n=0 ,and when n>0 and 2α=π or 2π it has been resolved by Wang Minzhong,however,the researches above provide only a few parts of the resolution for the paradox. In this paper we study all the cases of this paradox by adopting the method... |
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Keywords: | wedge paradox elasticity |
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