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Simulation of linear inclusions with the BEM

机译：用BEM模拟线性夹杂物

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摘要

In this paper a novel numerical approach is presented for the simulation of solids containing thin linear inclusions with the boundary element method (BEM). Assumptions are that the inclusions are in continuous contact with the surrounding solid and that they are only able to carry axial stresses, their bending stiffness is neglected. A practical application is the simulation of underground openings such as tunnels supported by rock bolts.rnTo avoid an increase in the number of unknowns in the system of equations, the problem is solved iteratively. The iterative solution procedure is particularly suitable for solving problems containing a high number of inclusions and involving nonlinear material behaviour, where an iterative solution procedure has to be used anyway.rnThe approach has been implemented into the boundary element program BEFE + +. To verify the method a test example is presented, considering elastic and plastic material behaviour. The results are compared with those calculated by finite elements.
机译：在本文中，提出了一种新的数值方法，用于使用边界元法（BEM）模拟包含细线性夹杂物的固体。假设夹杂物与周围的固体连续接触，它们仅能承受轴向应力，而忽略了其弯曲刚度。实际应用是模拟地下开口，例如由锚杆支撑的隧道。为了避免方程组中未知数的增加，该问题可以迭代解决。迭代求解程序特别适用于求解包含大量夹杂物且涉及非线性材料行为的问题，无论如何都必须使用迭代求解程序。该方法已在边界元素程序BEFE + +中实现。为了验证该方法，提出了一个测试示例，其中考虑了弹性和塑性材料的行为。将结果与有限元计算的结果进行比较。

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