柱形孔压缩与扩张问题的统一弹脆塑性解答  

Unified Elastic-brittle-plastic Solution for Compression and Expansion of Cylindrical Cavity

作　　者：孟庆祥[1,2] 王伟[1,2] 张诗悦[3] 陈鸿杰[1,2] 

机构地区：[1]河海大学岩土工程科学研究所,南京210098 [2]河海大学岩土力学与堤坝工程教育部重点实验室,南京210098 [3]河海大学水工结构研究所,南京210098

出　　处：《地下空间与工程学报》2012年第5期933-938,共6页Chinese Journal of Underground Space and Engineering

基　　金：留学回国人员科研启动基金资助项目(51103312)

摘　　要：在岩土工程中,柱形孔压缩和扩张问题的研究有着广泛的应用。本文基于统一强度理论,考虑应变软化、剪胀和中间主应力等因素的影响,假设柱形孔在半无限空间中受轴对称应力,通过分析内部应力的不同取值,将柱形孔压缩和扩张的弹塑性解答统一起来。研究表明,柱形孔扩张与压缩问题具有高度的相似性;对于弹脆塑性材料,在弹塑性交界面上,法向应力是连续分布的,切向应力不连续;而切向应变是连续的,法向应变不连续。此外,还探究了中间主应力系数对弹塑性解答影响。该解答可通过选取特定的参数退化为许多现有的公式,具有一定的统一性和实用价值。The study about compression and expansion of cylindrical cavity problems has a wide range of applica- tion in geotechnical projects. Based on the unified strength theory and elastic-brittle-plastic model of material, consid- ering influence of strain softening, shear dilation and intermediate principal stress, making an assumption that a cylin- drical cavity subjected to axisymmetric stress in the semi-infinite space, through the analysis of different value of in- ternal stress, this paper makes a unified elastic-plastic solution for compression and expansion of cylindrical cavity. The results indicate that ： compression and expansion of cylindrical cavity problems have high degree of similarity ; for elastic-brittle-plastic material, the distribution of normal stress is continuous and the distribution of tangential stress is discontinuous at the interface of elastic and plastic zone; while the distribution of tangential strain is continuous and the distribution of normal strain is discontinuous at the interface of elastic and plastic zone. In addition, the effect of intermediate principal stress parameter is discussed. The solution given by this paper is of a little unity and practical value, and can be simplified to many existing elastic-plastic solutions by assuming particular parameter.

关 键 词：统一强度理论 弹脆塑性解答 压缩与扩张 中间主应力 

分 类 号：TU473[建筑科学—结构工程]