| 汪鹏程,朱向荣,方鹏飞.考虑土应变软化及剪胀特性的大应变球孔扩张的问题[J].水利学报,2004,35(9):0078-0082 |
| 考虑土应变软化及剪胀特性的大应变球孔扩张的问题 |
| Expansion of large strain spherical cavity in soil in consideration of dilation and strain softening |
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| DOI： |
| 中文关键词: 应变软化 剪胀 大应变 球孔扩张 |
| 英文关键词: deformation softening dilation large strain spherical cavity expansion |
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| 中文摘要: |
| 以Mohr-Couloub屈服准则和不相关联的流动法则考虑土体屈服塑性流动和剪胀特性，用对数应变来描述土体的变形，给出了球形孔扩张问题的弹塑性解析解。分析了剪胀和软化程度对球孔扩张时的应力、位移、塑性区半径及极限扩张压力等方面的影响，并将大、小应变理论的结果进行了比较。结果表明：在扩张压力较大时，用小应变理论会引起很大误差，因此考虑大应变非常必要；相同扩张力作用下，土的软化程度越高，扩张率越大；土的剪胀角越小，则扩张率越大。土的软化和剪胀特性还影响极限扩张压力，软化越严重，极限扩张压力越小；剪胀角增大，极限扩张压力随之增大。 |
| 英文摘要: |
| The elastoplastic analytic solution of large strain spherical cavity in soil is deduced according to the Mohr-Couloub yield criterion and non-associate principle expressing the plastic yield and dilation characteristics of soil. The deformation of soil is described by using logarithmic expression. The influence of softening extent on stress, displacement and the radius of plastic zone during expansion as well as the extreme expansion pressure are studied. The comparison of calculation results shows that the theory for small deformation gives rise to significant error in case the expansion pressure is high. The greater extent of soil softening leads to greater expansion ratio and smaller extreme expansion pressure; the greater dilation angle leads to smaller expansion ratio and greater extreme expansion pressure. |
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