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Energy dissipation analysis for large-strain cylindrical cavity expansion problem in cohesive-frictional soils
Applied Mathematical Modelling ( IF 4.4 ) Pub Date : 2022-07-20 , DOI: 10.1016/j.apm.2022.07.015
Chao Li , Pin-Qiang Mo

This work presents an energy dissipation analysis for large-strain cylindrical cavity expansion problem in cohesive-frictional soils. Based on the unified strength criterion and the non-associated flow rule, the process of cavity expansion in cohesive-frictional soils is regarded as an energy conversion problem. The energy dissipation solution for large-strain cylindrical cavity expansion is obtained by introducing the energy dissipation mechanism into the conventional cylindrical cavity expansion analysis. Subsequently, the effects of the intermediate principal stress, elastic deformation and large-strain in the plastic region are considered in proposed solution. Finally, according to the comparisons of the results of the stress distributions and non-dimensional expansion pressure with those in the published literature, the validity and reliability of the theoretical method are proved. The results show that the non-dimensional expansion pressure increases with the increase of the coefficient of intermediate principal stress, the stiffness of the response increases with the increase of the dilation angle, and most of the work done by the external force is transformed into the energy in the plastic region.



中文翻译:

粘性摩擦土中大应变圆柱空腔膨胀问题的耗能分析

这项工作提出了粘性摩擦土壤中大应变圆柱空腔膨胀问题的能量耗散分析。基于统一强度准则和非关联流动规律,将黏性摩擦土中的空腔膨胀过程视为能量转换问题。将耗能机理引入常规圆柱型腔膨胀分析,得到大应变圆柱型腔膨胀的耗能解。随后,在所提出的解决方案中考虑了塑性区域中的中间主应力、弹性变形和大应变的影响。最后,根据应力分布和无量纲膨胀压力结果与已发表文献的比较,证明了理论方法的有效性和可靠性。结果表明,无量纲膨胀压力随着中间主应力系数的增加而增加,响应的刚度随着膨胀角的增加而增加,外力所做的大部分功转化为塑性区的能量。

更新日期:2022-07-20
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