A 2-D meshless model for jointed rock structures
A 2-D meshless model for jointed rock structures
复制标题
节理岩石结构的二维无网格模型
DOI：
10.1002/(sici)1097-0207(20000410)47:103.0.co;2-s
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发表时间：
2000-04
影响因子：
2.9
通讯作者：
J. L. Wegner
中科院分区：
文献类型：
--
作者：
张雄;陆明万;J. L. Wegner
根据节理岩体结构的特点，提出了一种基于移动最小二乘插值的节理岩体力学分析无网格模型。在该模型中，节理岩石结构被认为是由节理或不连续面连接的相对完整的岩石块体系统；这些岩石块体用一般形状的各向异性块体来模拟，而这些节理和不连续面则用界面来模拟。每个块的位移场由移动的最小二乘插值函数与分布在块中的一组点组成。为了处理岩体结构的不连续，将块间的位移场构造为不连续的。位移场及其梯度在每个块中是连续的，因此应变和应力的输出不需要后处理。完全不需要有限元网格，从而避免了耗时的网格生成。该算法的收敛速度明显超过有限元算法，并能获得较高的局部陡坡分辨率。此外，还充分考虑了岩体结构的不连续性。本方法是为节理岩体结构的二维线弹性分析而开发的，可推广到三维和非线性分析。版权所有©2000约翰威利父子有限公司
According to the characteristic structural features of jointed rock structures, a meshless model is proposed for the mechanics analysis of jointed rock structures based on the moving least-squares interpolants. In this model, a jointed rock structure is regarded as a system of relatively intact rock blocks connected by joints or planes of discontinuity; these rock blocks are modelled by general shaped anisotropic blocks while these joints and planes of discontinuity are modelled by interfaces. The displacement field of each block is constructed by the moving least-squares interpolants with an array of points distributed in the block. To deal with the discontinuities of rock structures, the displacement fields are constructed to be discontinuous between blocks. The displacement fields and their gradients are continuous in each block, hence no post processing is required for the output of strains and stresses. The finite element mesh is totally unnecessary, so the time-consuming mesh generation is avoided. The rate of convergence can exceed that of finite elements significantly, and a high resolution of localized steep gradients can be achieved. Furthermore, the discontinuities of rock structures are also fully taken into consideration. The present method is developed for two-dimensional linear elastic analysis of jointed rock structures, and can be extended to three-dimensional and non-linear analysis. Copyright © 2000 John Wiley & Sons, Ltd.
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DOI：
10.1016/0148-9062(82)90706-9
发表时间：
1982-02
期刊：
International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts
影响因子：
--
作者：
C. Gerrard
通讯作者：
C. Gerrard
DOI：
10.2172/4621975
发表时间：
1963-08
期刊：
--
影响因子：
--
作者：
W. F. Noh
通讯作者：
W. F. Noh
DOI：
10.1016/0148-9062(68)90039-9
发表时间：
1968-11
期刊：
International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts
影响因子：
--
作者：
M. Salamon
通讯作者：
M. Salamon
影响因子：
3.5
作者：
Q. Lingxi;Z. Xiong
通讯作者：
Q. Lingxi;Z. Xiong
DOI：
10.1016/0148-9062(73)90041-7
发表时间：
1973-07
期刊：
International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts
影响因子：
--
作者：
B. Singh
通讯作者：
B. Singh