中间主应力对球形孔扩张的影响  

Influence of Intermediate Principal Stress on Elastic-plastic Solution of Expansion of Sphere Cavities

作　　者：周小平[1] 张永兴[1] 王建华[2] 

机构地区：[1]重庆大学土木工程学院,重庆400045 [2]上海交通大学建筑工程与力学学院,上海200030

出　　处：《重庆建筑大学学报》2003年第3期26-29,共4页Journal of Chongqing Jianzhu University

基　　金：国家自然科学基金资助项目(59879012)

摘　　要：基于Mohr-Coulomb理论推导的球形孔扩张问题的弹塑性解没有考虑中间主应力的影响。因而与实际结果有误差。为此,本文利用双剪强度理论建立了球形孔扩张问题时的弹塑性解。通过算例表明:基于双剪强度理论所求的球形孔扩张的塑性区半径小于M-C准则。据此可充分发挥材料自身的承载能力,减少支护,对实际工程具有重要的理论和实际意义。The elastic-plastic solution of expansion of sphere cavities based on Tresca strength criterion and Mohr-Coulomb strength criterion did not take account of the effect of intermediate principal stress. Based on the twin shear strength theory, the influence of intermediate principal stress on the elastic-plastic solution of expansion of sphere cavities is given, and radius of plastic zone and inner pressure are determined.The numerical results show that the radius of plastic zone will be reduced while the effect of intermediate principal stress is taken into account.

关 键 词：双剪强度理论 球形孔扩张 弹塑性解 中间主应力 

分 类 号：TU456[建筑科学—岩土工程]