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基于连续—非连续方法的地质体材料变形—拉裂过程模拟——以岩样紧凑拉伸试验为例

王学滨 白雪元 祝铭泽

王学滨, 白雪元, 祝铭泽, 2018. 基于连续—非连续方法的地质体材料变形—拉裂过程模拟——以岩样紧凑拉伸试验为例. 地质力学学报, 24 (3): 332-340. DOI: 10.12090/j.issn.1006-6616.2018.24.03.035
引用本文: 王学滨, 白雪元, 祝铭泽, 2018. 基于连续—非连续方法的地质体材料变形—拉裂过程模拟——以岩样紧凑拉伸试验为例. 地质力学学报, 24 (3): 332-340. DOI: 10.12090/j.issn.1006-6616.2018.24.03.035
WANG Xuebin, BAI Xueyuan, ZHU Mingze, 2018. MODELING OF DEFORMATION-CRACKING PROCESSES OF GEOMATERIALS BASED ON A CONTINUUM-DISCONTINUUM METHOD: A CASE STUDY OF COMPACT TENSION TEST. Journal of Geomechanics, 24 (3): 332-340. DOI: 10.12090/j.issn.1006-6616.2018.24.03.035
Citation: WANG Xuebin, BAI Xueyuan, ZHU Mingze, 2018. MODELING OF DEFORMATION-CRACKING PROCESSES OF GEOMATERIALS BASED ON A CONTINUUM-DISCONTINUUM METHOD: A CASE STUDY OF COMPACT TENSION TEST. Journal of Geomechanics, 24 (3): 332-340. DOI: 10.12090/j.issn.1006-6616.2018.24.03.035

基于连续—非连续方法的地质体材料变形—拉裂过程模拟——以岩样紧凑拉伸试验为例

doi: 10.12090/j.issn.1006-6616.2018.24.03.035
基金项目: 

国家自然科学基金项目 51574144

详细信息
    作者简介:

    王学滨(1975-), 男, 博士, 教授, 主要从事工程材料变形、破坏及稳定性研究。E-mail:wxbbb@263.net

  • 中图分类号: TU452

MODELING OF DEFORMATION-CRACKING PROCESSES OF GEOMATERIALS BASED ON A CONTINUUM-DISCONTINUUM METHOD: A CASE STUDY OF COMPACT TENSION TEST

  • 摘要: 地质体材料易发生拉裂,为了有效模拟地质体材料的变形-拉裂过程,自主研发了一种连续-非连续方法。该方法实质是拉格朗日元法与虚拟裂缝模型的耦合,既能较准确模拟应力应变场,又能较准确模拟连续介质向非连续介质转化的复杂过程。以岩样紧凑拉伸试验为例开展变形-拉裂过程研究,得到以下结果。紧凑拉伸岩样的变形-拉裂过程:在岩样的Ⅴ形缺口尖端附近出现最大主应力集中现象;节点发生分离,虚拟或真实裂缝扩展,最大主应力始终集中于虚拟裂缝的尖端位置;岩样被拉裂成两部分。最大不平衡力发生1次突增对应着1个节点的分离。在峰值之前,岩样的载荷-位移曲线表现出了硬化现象;随着岩样尺寸的增加,应力-应变曲线的峰值有所下降,这与Bazǎnt的尺度律相一致,且峰后应力-应变曲线的陡峭程度增大。目前针对紧凑拉伸试验的模拟结果是合理的,由此在一定程度上说明了提出的连续-非连续方法在连续介质向非连续介质转化模拟方面的突出能力。

     

  • 图  1  虚拟裂缝面上节点处法向的确定

    ①-④为虚拟裂缝面附近的单元;a-f为虚拟裂缝面上的节点;n1-n4为虚拟裂缝面的外法向;ncnd分别为虚拟裂缝面上节点cd的外法向

    Figure  1.  Determination of normal directions of nodes on fictitious cracking faces

    图  2  岩样变形—开裂过程中σ3的时空分布规律(方案1)

    Figure  2.  Spatiotemporal distribution of σ3 during the deformation-cracking process (scheme 1)

    图  3  方案1的各种力学量的演变规律

    Figure  3.  Evolution of various mechanical variables in scheme 1

    图  4  岩样变形—开裂过程中σ3的时空分布规律(方案2)

    Figure  4.  Spatiotemporal distribution of σ3 during the deformation-cracking process (scheme 2)

    图  5  方案2的各种力学量的演变规律

    Figure  5.  Evolution of various mechanical variables in scheme 2

    图  6  岩样变形—开裂过程中σ3的时空分布规律(方案3)

    Figure  6.  Spatiotemporal distribution of σ3 during the deformation-cracking process (scheme 3)

    图  7  方案3的各种力学量的演变规律

    Figure  7.  Evolution of various mechanical variables in scheme 3

    图  8  载荷—位移曲线的对比

    Figure  8.  Comparison of load-displacement curves

    图  9  不同岩样高度时应力—应变曲线

    Figure  9.  Stress-strain curves for different heights of rock specimens

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出版历程
  • 收稿日期:  2016-11-22
  • 修回日期:  2018-01-31
  • 刊出日期:  2018-06-01

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