应用力学学报
應用力學學報
응용역학학보
CHINESE JOURNAL OF APPLIED MECHANICS
2010年
1期
96-100
,共5页
杨乐%吴德伦%李德万%向喜琼%廖云平
楊樂%吳德倫%李德萬%嚮喜瓊%廖雲平
양악%오덕륜%리덕만%향희경%료운평
层状岩体%Cosserat介质%均匀化方法%等效模型
層狀巖體%Cosserat介質%均勻化方法%等效模型
층상암체%Cosserat개질%균균화방법%등효모형
Layered rock mass%Cosserat medium%homogenization method%equivalent model
将层状岩体视为由Cosserat介质组成的复合体,对其进行均匀化等效,在MATLAB平台上进行有限元编程,得到新等效本构关系.不仅能反映层状岩体的弯曲特性,而且可以对节理岩体的力学性能进行宏观和细观描述.通过对洞室算例进行显式节理模型、横观各向同性模型以及均匀化Cosserat等效模型三种方法的数值计算比较,证明理论分析与计算方法可行有效.
將層狀巖體視為由Cosserat介質組成的複閤體,對其進行均勻化等效,在MATLAB平檯上進行有限元編程,得到新等效本構關繫.不僅能反映層狀巖體的彎麯特性,而且可以對節理巖體的力學性能進行宏觀和細觀描述.通過對洞室算例進行顯式節理模型、橫觀各嚮同性模型以及均勻化Cosserat等效模型三種方法的數值計算比較,證明理論分析與計算方法可行有效.
장층상암체시위유Cosserat개질조성적복합체,대기진행균균화등효,재MATLAB평태상진행유한원편정,득도신등효본구관계.불부능반영층상암체적만곡특성,이차가이대절리암체적역학성능진행굉관화세관묘술.통과대동실산례진행현식절리모형、횡관각향동성모형이급균균화Cosserat등효모형삼충방법적수치계산비교,증명이론분석여계산방법가행유효.
In the paper,layered rock mass is viewed as a Cosserat medium firstly and is investigated by the homogenization method,A new equivalent constitutive relationship is obtained by means of the FEM program based on the MATLAB,which not only reflects the bending effect of the layered rock mass utilizing the especial couple stress,but also interprets the mechanics of jointed rock mass combining macro with micro scopes.Finally,s an example the underground cavern is numerically analyzed and the results are compared with the ones via three different other methods: the explicit joint model,the transversely isotropic model and the homogenization Cosserat equivalent model,The numerical results prove that the FEM program is effective and the new method is of feasibility.