偶应力对含充填层状岩体边界层效应的影响

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摘要传统的连续介质理论本构关系没有考虑材料微结构的影响。岩石材料的微结构尺度一般在毫米量级以上，并且在高应变梯度情况下，层状岩体的弯曲变形非常显著。采用偶应力理论和有限单元法，对含充填层状岩体结构面边界层效应进行研究，并对经典理论和偶应力理论的结果进行对比。结果表明：考虑偶应力后，尺度效应明显。层状岩体结构面边界层内应力、应变的绝对值均有所减小；层状岩体结构面边界层内剪应变出现一个过渡区域，剪应变突变有所改善，但剪应力却不再连续。特征长度影响过渡区域大小，第二剪切模量、泊松比、弹性模量不改变过渡区域大小。

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关键词 ：岩石力学, 偶应力, 含充填层状岩体, 结构面边界层效应, 有限元

Abstract：The effect of material microstructure is not included in the traditional continuum theory. The microstructure size of rock material is usually above millimeter scale. Under high strain gradient condition，the bending deformation of layered rock mass is remarkable. Interfaces boundary layer effect of layered rock mass with inclusion is studied by adopting couple stress theory and finite element method. The results of the typical elasticity theory and the couple stress theory are compared. The results show that the absolute values of stresses and strains within interfaces boundary layer decrease. Under couple stress theory，the transition region of shear strain emerges near interfaces boundary layer. The abrupt change of the shear strain is relieved，but the shear stress is no longer continuous. The size of the region is influenced by the characteristic length，not by the second shear modulus，posion?s ration and elastic modulus.

Key words： rock mechanics couple stress layered rock mass with inclusion interfaces boundary layer effect finite element method

收稿日期: 2011-02-24

引用本文:

张敦福1，王相玉1，2，李术才1. 偶应力对含充填层状岩体边界层效应的影响[J]. 岩石力学与工程学报, 2011, 30(S1): 3288-3294.
ZHANG Dunfu1，WANG Xiangyu1，2，LI Shucai1. INFLUENCE OF COUPLE STRESS ON INTERFACES BOUNDARY LAYER EFFECT OF LAYERED ROCK MASS WITH INCLUSION. , 2011, 30(S1): 3288-3294.

链接本文:

http://www.rockmech.org/CN/Y2011/V30/IS1/3288

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