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基于弹性应变能D-P强度准则修正 被引量:10

Modification of Drucker-Prager strength criterion based on the elastic strain energy
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摘要 针对D-P强度准则存在的拉剪区偏大及不具备应力角效应等不足之处,为使其更符合岩石的屈服(破坏)机制,从弹性应变能角度对D-P强度准则进行修正,开展如下工作:为便于研究将弹性应变能分为偏量弹性应变能与张量弹性应变能之和,并分析各能量对材料破坏影响;研究D-P强度准则的物理意义及其不足之处产生的内在原因,并基于此建立广义D-P强度准则,总体上可较好地反映岩石的破坏特性,并能较好地解决拉剪区偏大及应力角效应等问题。对4种不同岩石的破坏强度进行计算,结果表明:广义D-P强度准则计算结果较为精确,该准则突破材料破坏时泊松比恒为0.5传统假设,对于准确定量地描述岩石破坏特性具有重要意义。 In rock mechanics and engineering field,the D-P strength criterion has the drawbacks of lacking the effect of the stress angle and the overestimating the tensile-shear region.In order to make the D-P strength criteria more consistent with the failure mechanisms of the rock,the following works are carried out based on the elastic strain energy.Firstly,elastic strain energy based on the invariant of stress is divided into deviatoric elastic strain energy related to the second invariant of deviatoric stress and the tensor elastic strain energ related to the second invariant of stress tensor.Secondly,the reasons of the defect and the physical significance of the D-P strength criteria are proposed.Based on the results,a generalized D-P(GD-P)strength criterion is established to describe basic failure characteristics such as stress angle and the oversized tensile-shear region.Lastly,the failure strengths of four kinds of rocks are calculated.The results by the GD-P strength criteria is more accurate and error is more stable.The generalized strength criterion breaks the hypotheses that Poisson’s ratio is always 0.5,which is of great significance for accurate quantitative analysis of yield and failure characteristics of the rock.
作者 郭建强 蒋建国 刘新荣 陈建行 卢雪峰 杨前冬 Guo Jianqiang;Jiang Jianguo;Liu Xinrong;Chen Jianhang;Lu Xuefeng;Yang Qiandong(Guizhou University,Guiyang 550025,China;Chongqing University,Chongqing 400044,China)
机构地区 贵州大学 重庆大学
出处 《土木工程学报》 EI CSCD 北大核心 2021年第6期110-116,共7页 China Civil Engineering Journal
基金 国家科技支撑计划课题(2012BAK05B02) 国家自然科学基金(41372356)。
关键词 D-P强度准则 弹性应变能 应力张量第二不变量 泊松比 D-P strength criterion elastic strain energy the second invariant of stress tensor Poisson’s ratio
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