Expansion of spherical cavity of strain-softening materials with different elastic moduli of tension and compression  

作　　者：LUO Zhan-you ZHU Xiang-rong GONG Xiao-nan 

机构地区：[1]Ningbo Institute of Technology. Zhejiang University, Ningbo 315100, China [2]Geotechnical Engineering Institute, Zhejiang University of Science and Technology, Hangzhou 310012, China [3]Geotechnical Engineering Institute, Zhejiang University, Hangzhou 310027, China

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2007年第9期1380-1387,共8页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：Project supported by the National Postdoctoral Science Foundation of China (No.20060400317);the Education Foundation of Zhejiang Province (No.20061459);the Young Foundation of Zhejiang Province (No.0202303005),China

摘　　要：An expansion theory of spherical cavities in strain-softening materials with different moduli of tension and com-pression was presented. For geomaterials,two controlling parameters were introduced to take into account the different moduli and strain-softening properties. By means of elastic theory with different moduli and stress-softening models,general solutions cal-culating Tresca and Mohr-Coulomb materials' stress and displacement fields of expansion of spherical cavity were derived. The effects caused by different elastic moduli in tensile and compression and strain-softening rates on stress and displacement fields and development of plastic zone of expansion of cavity were analyzed. The results show that the ultimate expansion pressure,stress and displacement fields and development of plastic zone vary with the different elastic moduli and strain-softening prop-erties. If classical elastic theory is adopted and strain-softening properties are neglected,rather large errors may be the result.An expansion theory of spherical cavities in strain-softening materials with different moduli of tension and compression was presented. For geomaterials, two controlling parameters were introduced to take into account the different moduli and strain-softening properties. By means of elastic theory with different moduli and stress-softening models, general solutions calculating Tresca and Mohr-Coulomb materials＇ stress and displacement fields of expansion of spherical cavity were derived. The effects caused by different elastic moduli in tensile and compression and strain-softening rates on stress and displacement fields and development of plastic zone of expansion of cavity were analyzed. The results show that the ultimate expansion pressure, stress and displacement fields and development of plastic zone vary with the different elastic moduli and strain-softening properties. If classical elastic theory is adopted and strain-softening properties are neglected, rather large errors may be the result.

关 键 词：Expansion of spherical cavity Tresca material Mohr-Coulomb material Elastic theory with different moduli of tension and compression Stress-dropping softening model 

分 类 号：TU431[建筑科学—岩土工程] TU452[建筑科学—土工工程]