基于摩尔库伦准则考虑渗流影响的孔扩张理论

发布时间：2018-02-17 07:02

  本文关键词： 球孔扩张理论 渗流理论 扩孔压力 塑性区半径　出处：《同济大学学报(自然科学版)》2017年03期 　论文类型：期刊论文

【摘要】：通过球对称问题的应变协调方程、渗流理论、统一强度准则和相关联流动法则分析了球孔扩张问题.首先,根据渗流理论推导出了球对称状态下的球孔扩张的超孔隙水压力分布公式,确定了考虑渗流影响的球形孔扩张问题的应力场、应变场和位移场的基本公式.利用位移公式,结合塑性区球孔孔壁位移,推导了球孔初始半径a0,扩孔半径a和对应的塑性区半径rp三者的理论关系式.利用该关系式和其他相关公式给出了求解球孔扩张问题的具体求解方法.通过该方法求得具体问题的应力场、应变场和位移场.总之,通过扩孔压力p、初始孔径a0和扩孔孔径a这三者中的任意两者可求得具体问题的扩孔压力、应力场和位移场等.最后分析了一个计算实例的主要参量、应力场、位移场.
[Abstract]:The problem of spherical hole expansion is analyzed by the strain coordination equation of spherical symmetry problem, seepage theory, unified strength criterion and associated flow rule. According to the seepage theory, the distribution formula of excess pore water pressure of spherical hole expansion under spherical symmetry is derived, and the basic formulas of stress field, strain field and displacement field of spherical hole expansion problem considering the influence of percolation are determined. Combined with the displacement of the spherical hole wall in the plastic zone, The theoretical relations of the initial radius of spherical hole a, the radius of reaming hole a and the corresponding radius of plastic zone RP are derived. By using this relation and other relevant formulas, a concrete solution to the problem of spherical hole expansion is given. The stress field of the concrete problem is obtained by the method. Strain field and displacement field. In a word, the pressure, stress field and displacement field of the specific problem can be obtained by any two of the three factors, namely, the reaming pressure p, the initial aperture a 0 and the reaming aperture a. Finally, the main parameters of a calculation example are analyzed. Stress field, displacement field.
【作者单位】： 同济大学岩土及地下工程教育部重点实验室;同济大学土木工程学院;
【分类号】：TU43
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本文编号：1517492