饱和土体中椭圆孔扩张弹塑性解

发布时间：2018-04-13 04:30

本文选题：饱和土 + 椭圆孔扩张　；参考：《岩土工程学报》2014年05期

【摘要】：圆孔扩张理论作为一种相对成熟的理论工具已经广泛的运用于岩土工程中的各类问题,但是很多问题并非圆孔扩张而是椭圆孔扩张。基于保角变换的方法将原物理平面上的椭圆孔映射到像平面的单位圆上,将原物理平面上由于椭圆孔扩张所产生的速度边界条件转换到像平面上,利用复变函数的理论得到了一种新的位移控制的椭圆孔扩张弹塑性解。通过基于该法计算传统圆孔扩张并且与Gibson的传统的圆孔扩张的弹塑性解进行对比分析,验证了解的可靠性。续而,利用该方法计算竖向排水板(PVD)打入饱和土体中所产生的超静孔隙水压力,并与Indraratna的模型试验结果进行对比分析。研究结果表明,本文的解在退化到圆孔扩张问题后与传统的圆孔扩张弹塑性解完全一致;采用本文的解能够很好地模拟竖向排水板(PVD)打入饱和土体中所产生的超静孔隙水压力。
[Abstract]:As a relatively mature theoretical tool, circular pore expansion theory has been widely used in geotechnical engineering, but many problems are not circular hole expansion but elliptical pore expansion.Based on the conformal transformation method, the elliptical holes in the original physical plane are mapped to the unit circle of the image plane, and the velocity boundary conditions of the original physical plane due to the expansion of the elliptical holes are converted to the image plane.By using the theory of complex variable function, a new displacement controlled elastoplastic solution of elliptic hole expansion is obtained.Based on this method, the traditional circular hole expansion is calculated and compared with the elastoplastic solution of Gibson's traditional circular hole expansion to verify the reliability of the solution.Furthermore, the method is used to calculate the excess pore water pressure produced by the vertical drainage plate PVD in saturated soil, and the results are compared with the results of Indraratna model test.The results show that the solution in this paper is consistent with the traditional elastoplastic solution after degenerating to the problem of circular pore expansion, and the proposed solution can well simulate the excess pore water pressure produced by PVD (vertical drainage plate) in saturated soil.
【作者单位】：岩土力学与堤坝工程教育部重点实验室;河海大学土木与交通学院;
【基金】：国家自然科学基金项目(51278170,U1134207) 长江学者和创新团队发展计划项目(IRT1125) 江苏省333项目(BRA2011146) 江苏省科研创新计划(CXZZ13_02)
【分类号】：TU43

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