论文标题
使用等几程分析的高效且现实的3-D边界元素模拟地下结构
Efficient and realistic 3-D Boundary Element simulations of underground construction using isogeometric analysis
论文作者
论文摘要
该论文概述了边界元素方法(BEM)的一些最新发展,这些发展使其更加用户友好,适合于地质力学的现实模拟,尤其是用于地下发掘和隧道。创新是指引入等几何概念,弹性分析和地面支撑的模拟。用于描述发掘边界的iSODEMETIOM概念导致用户和分析工作减少,因为复杂的几何形状可以使用很少的参数和自由度进行建模。无需网格。为了考虑异质和非弹性地面条件,使用了域离散化,但使用等几年方法会导致用户努力最少。还提出了用于建模岩石螺栓的有效方法。测试示例结果与其他数值方法和分析解决方案的比较证实了拟议实施的效率和准确性。提出了一个具有复杂几何形状的实际例子。
The paper outlines some recent developments of the boundary element method (BEM) that makes it more user friendly and suitable for a realistic simulation in geomechanics, especially for underground excavations and tunnelling. The innovations refer to the introduction of isogeometric concepts, elasto-plastic analysis and the simulation of ground support. The introduction of isogeometric concepts for the description of the excavation boundaries results in less user and analysis effort, since complex geometries can be modelled with few parameters and degrees of freedom. No mesh generation is necessary. In order to consider heterogeneous and inelastic ground conditions a domain discretisation is used but the use of isogeometric methods results in a minimum of user effort. Efficient methods are also presented for modelling rock bolts. A comparison of results of test examples with other numerical methods and analytical solutions confirm the efficiency and accuracy of the proposed implementation. A practical example with a complex geometry is presented.