Extended Finite Element Method for the Analysis of Discontinuities in Rock Masses

被引：45

作者：

Deb D. ^{[1
]}

Das K.C. ^{[2
]}

机构：

[1] Department of Mining Engineering, Indian Institute of Technology

[2] Department of Mathematics, Indian Institute of Technology

来源：

Geotechnical and Geological Engineering | 2010年 / 28卷 / 5期

关键词：

Discontinuous rock mass; Jointed tunnel; Partition of unity; Strong discontinuity; XFEM;

D O I：

10.1007/s10706-010-9323-7

中图分类号：

学科分类号：

摘要：

The strength and deformability of rock mass primarily depend on the condition of joints and their spacing and partially on the engineering properties of rock matrix. Till today, numerical analysis of discontinuities e. g. joint, fault, shear plane and others is conducted placing an interface element in between two adjacent rock matrix elements. However, the applicability of interface elements is limited in rock mechanics problems having multiple discontinuities due to its inherent numerical difficulties often leading to non-convergent solution. Recent developments in extended finite element method (XFEM) having strong discontinuity imbedded within a regular element provide an opportunity to analyze discrete discontinuities in rock masses without any numerical difficulties. This concept is based on partition of unity principle and can be used for cohesive rock joints. This paper summarizes the mathematical frameworks for the implementation of strong discontinuities in 3 and 6 nodded triangular elements and also provides numerical examples of the application of XFEM in one and two dimensional problems with single and multiple discontinuities. © 2010 Springer Science+Business Media B.V.

引用

页码：643 / 659

页数：16

共 28 条

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