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偶应力对层状岩体结构面边界层效应的影响

张敦福 王相玉 朱家明 李术才 朱维申

岩土力学2012,Vol.33Issue(7):2181-2188,8.
岩土力学2012,Vol.33Issue(7):2181-2188,8.

偶应力对层状岩体结构面边界层效应的影响

Influence of couple stress on interfaces boundary layer effect of layered rock mass

张敦福 1王相玉 1朱家明 2李术才 1朱维申3

作者信息

  • 1. 山东大学 土建与水利学院,济南 250061
  • 2. 清华大学 工程力学系,北京 100084
  • 3. 中国科学院力学研究所,北京100190
  • 折叠

摘要

Abstract

Shear deformation gradient near the interfaces of the layered rock mass structure face is very obvious under compression and shear loading. The interfaces boundary layer effect of layered rock mass is studied based on couple stress theory. Numerical calculation is implemented by using the finite element method. The results of the couple stress theory and the classical elasticity theory are compared. The interpolation type functions and displacement interpolation formulae are derived for Serendipity element (S-element). The pre-treatment is put into practice by ANSYS. The computing and the post-treatment programs are writen by Matlab for the typical elasticity theory and the couple stress theory. The results show that the influence of couple stress on the shear strain near interfaces of layered rock mass is remarkable. The scale effect is distinct. Compared with the classical elasticity theory, in couple stress theory, strains decrease and the transition region of shear strain emerges near interfaces boundary layer. The abrupt change of the shear strain is also improved but the shear stress is no longer continuous. The characteristic length affects the size of the transition zone. The second shear modulus, Poisson's ratio and elastic modulus don't affect the size of the transition zone.

关键词

偶应力/尺度效应/层状岩体/边界层效应/有限元法

Key words

couple stress/ scale effect/ layered rock mass/ boundary layer effect/ finite element method

分类

数理科学

引用本文复制引用

张敦福,王相玉,朱家明,李术才,朱维申..偶应力对层状岩体结构面边界层效应的影响[J].岩土力学,2012,33(7):2181-2188,8.

基金项目

国家自然科学基金(No.50979052,40872203,41072234) (No.50979052,40872203,41072234)

山东省自然科学基金(No.ZR2009FM041,ZR2010EM032,ZR2009AZ001) (No.ZR2009FM041,ZR2010EM032,ZR2009AZ001)

岩土力学

OA北大核心CSCDCSTPCD

1000-7598

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