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Efficient simulation of inclusions and reinforcement bars with the isogeometric Boundary Element method

机译：用异诊边界元法测定夹杂物和加固杆的高效仿真

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The paper is concerned with the development of efficient and accurate solution procedures for the isogeometric boundary element method (BEM) when applied to problems that contain inclusions that have elastic properties different to the computed domain. This topic has been addressed in previous papers but the approach presented here is a considerable improvement in terms of efficiency and accuracy.One innovation is that initial stresses instead of body forces are used, resulting in discretised equations that can be written using matrix-vector multiplications. This allowed a one step solution to be implemented for elastic inclusions. In addition, a novel approach is used for the computation of strains, that avoids the use of highly singular fundamental solutions. Finally, a new type of inclusion is presented that can be used to model reinforcement bars or rock bolts and where analytical integration can be used. Test examples, where results are compared with Finite Element simulations, show that the proposed approach is sound. (C) 2020 Elsevier B.V. All rights reserved.
机译：本文涉及在应用于含有与计算域不同的弹性特性的夹杂物的问题时，对ISogeometric边界元方法（BEM）的高效和准确解决方案程序的开发。本主题已在之前的论文中得到解决，但此处介绍的方法是效率和准确性方面的相当大的改进。内部创新是使用初始应力而不是体力，导致可以使用矩阵矢量乘法写入的离散式方程式。这允许为弹性夹杂物实施一步解决方案。此外，一种新的方法用于计算菌株，避免使用高度奇异的基本解决方案。最后，提出了一种新型的夹杂物，其可用于模拟增强杆或岩石螺栓，并且可以使用分析整合。测试示例，其中将结果与有限元模拟进行比较，表明所提出的方法是声音。 （c）2020 Elsevier B.v.保留所有权利。

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