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强度参数对初始随机缺陷岩样全部变形的影响

王学滨

王学滨, 2009. 强度参数对初始随机缺陷岩样全部变形的影响. 地质力学学报, 15 (4): 321-329.
引用本文: 王学滨, 2009. 强度参数对初始随机缺陷岩样全部变形的影响. 地质力学学报, 15 (4): 321-329.
WANG Xue-bin, 2009. INFLUENCE OF STRENGTH PARAMETERS ON OVERALL DEFORMATIONS OF ROCK SPECIMENS WITH INITIALLY RANDOM MATERIAL IMPERFECTIONS. Journal of Geomechanics, 15 (4): 321-329.
Citation: WANG Xue-bin, 2009. INFLUENCE OF STRENGTH PARAMETERS ON OVERALL DEFORMATIONS OF ROCK SPECIMENS WITH INITIALLY RANDOM MATERIAL IMPERFECTIONS. Journal of Geomechanics, 15 (4): 321-329.

强度参数对初始随机缺陷岩样全部变形的影响

基金项目: 

国家自然科学基金项目 50974069

辽宁省教育厅科学研究一般项目 2009A322

详细信息
    作者简介:

    王学滨(1975-), 男, 教授, 博士, 从事应变软化工程材料(岩石、混凝土及韧性金属等)变形、破坏、稳定性的理论研究及数值计算工作。E-mail:wxbbb@263.net

  • 中图分类号: TU451

INFLUENCE OF STRENGTH PARAMETERS ON OVERALL DEFORMATIONS OF ROCK SPECIMENS WITH INITIALLY RANDOM MATERIAL IMPERFECTIONS

  • 摘要: 在单轴平面应变压缩条件下, 采用FLAC模拟了初始内聚力及内摩擦角对具有随机材料缺陷岩样轴向、侧向、体积变形及由侧向应变及轴向应变计算得到的泊松比的演变的影响。采用编写的FISH函数于试样内部规定随机缺陷并计算其全部变形特征。密实的岩石服从莫尔库仑剪破坏与拉破坏复合的破坏准则, 破坏之后呈现应变软化—理想塑性行为。随着强度参数(初始内聚力及内摩擦角)的增加, 应力峰值及对应的侧向应变的值提高, 体积应变的峰值增加, 应力峰值所对应的计算得到的泊松比稍有增加。由于被剪切带所分割的毗邻块体之间的相对滑动, 纵然扩容角为零, 试样在峰后的变形阶段, 仍然可以观察到体积膨胀现象, 这与作者的理论分析结果一致。当强度参数降低时, 侧向应变—轴向应变曲线、体积应变—轴向应变曲线及计算得到的泊松比—轴向应变曲线的峰前非线性部分变得短暂。剪切带倾角的数值解的上限低于Coulomb理论, 下限在Roscoe理论附近波动, Arthur理论的预测结果与本文剪切带倾角的数值解更接近.

     

  • 图  1  模型的几何特征及边界条件

    Figure  1.  Model geometry and boundary conditions

    图  2  不同强度参数时应力—轴向应变曲线

    Figure  2.  The stress-axial strain curves with different strength parameters

    图  3  不同强度参数时应力—侧向应变曲线

    Figure  3.  The stress-lateral strain curves with different strength parameters

    图  4  不同强度参数时侧向应变—轴向应变曲线

    Figure  4.  The lateral strain-axial strain curves with different strength parameters

    图  5  不同强度参数时体积应变—轴向应变曲线

    Figure  5.  The volumetric strain-axial strain curves with different strength parameters

    图  6  不同强度参数时计算得到的泊松比—轴向应变曲线

    Figure  6.  The calculated Poisson's ratio-axial strain curves with different strength parameters

    图  7  不同强度参数时试样的最终破坏模式

    Figure  7.  The final failure modes of rock specimens with different strength parameters

    图  8  不同强度参数时试样最终的变形后的剪切应变增量等值线图

    Figure  8.  The final deformed shear strain increment contour maps of final deformed rock specimens with different strength parameters

    图  9  剪切带倾角的数值解与理论解的比较

    Figure  9.  Comparison of the numerical shear band inclinations and the predicted results using classical theories

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出版历程
  • 收稿日期:  2008-07-20
  • 刊出日期:  2009-12-28

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