摘要
假定节理岩体具有均质的宏观结构和非均质的周期性分布的细观结构,利用均匀化方法,根据材料周期性特点,通过摄动理论建立依赖于两尺度坐标变量而变化的渐进位移场,推导出反映节理岩体细观结构的控制方程,并结合有限元法,数值模拟得到其宏观等效弹性模量。将算例得到的等效弹性模量与Taylor方法、自洽方法及Hashin-Shtrikman结果进行对比分析,证实了均匀化算法的合理性。同时探讨了节理岩体的弹性性能与组份性能及细观结构的关系,并考察了节理岩体的岩质材料泊松比对宏观力学性能的影响。
The jointed rock is supposed to be composed of a homogeneous macrostructure and a heterogeneous periodic microstructure. Based on the homogenization method, the equivalent elastic modulus of jointed rock is studied. Using the periodicity assumption and asymptotic expansion of the displacement, the micro governing equation concerned with microstructure of jointed rock is derived by perturbation method. Finite-element-method numerical analysis is carried out for solving two dimensional rock materials. The numerical results of equivalent elastic modulus are compared with those obtained by Taylor method and self-consistent method as well as Hashin-Shtrikman bounds so as to verify the rationality of the homogenized method. The relationship between the elastic properties and the constituent properties of the rocks are examined, also the influence of Poisson ratio on the equivalent modulus of jointed rock is analyzed.
出处
《工程力学》
EI
CSCD
北大核心
2008年第4期75-79,92,共6页
Engineering Mechanics
基金
国家自然科学基金项目(50539110)
关键词
均匀化方法
节理岩体
摄动理论
周期性
有限元分析
等效模量
homogenization
jointed rock
perturbation method
periodicity
finite elemente analysis
equivalentelastic modulus
