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土体具有不同的拉压模量和剪胀特性。为使球形孔扩张问题的解答更符合实际情况,根据不同模量弹性理论和非关联Mohr-Coulomb流动法则研究了球形孔扩张时弹性区和塑性区的应力和位移,得到了弹性区和塑性区的径向应力和环向应力的解析解以及最大塑性区半径与扩张压力的计算表达式。探讨了不同拉压模量之比、拉压泊松比和剪胀角对球形孔扩张的扩张压力及塑性区半径的影响。结果表明:拉压模量比、拉压泊松比和剪胀角对球孔扩张时塑性区的开展和扩张后土体的应力有重要影响,计算中忽略这些参数将带来较大的误差。
Soil has different tensile modulus and dilatancy characteristics. In order to make the solution to the problem of spherical hole expansion more in line with the actual situation, the stress and displacement of the elastic and plastic zones during the expansion of the spherical bores were studied according to the different modulus elasticity theory and the non-associated Mohr-Coulomb flow law, and the elastic and plastic zones The analytical expressions of radial stress and hoop stress and the expression of the maximum plastic zone radius and expansion pressure are given. The effects of different ratios of tensile and compressive modulus, Poisson’s ratio and dilatancy angle on the expansion pressure and the radius of plastic zone were discussed. The results show that tensile modulus ratio, tension Poisson’s ratio and dilatancy angle have an important influence on the development of plastic zone and the stress of dilated soil after the expansion of the ball hole. Ignoring these parameters will bring more error .