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An isogeometric boundary element method for elastostatic analysis : 2D implementation aspects.

机译:弹性静力分析的等几何边界元方法:2D实现方面。

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摘要

The concept of isogeometric analysis, whereby the parametric functions that are used to describe CAD geometry are also used to approximate the unknown fields in a numerical discretisation, has progressed rapidly in recent years. This paper advances the field further by outlining an isogeometric boundary element Method (IGABEM) that only requires a representation of the geometry of the domain for analysis, fitting neatly with the boundary representation provided completely by CAD. The method circumvents the requirement to generate a boundary mesh representing a significant step in reducing the gap between engineering design and analysis. The current paper focuses on implementation details of 2D IGABEM for elastostatic analysis with particular attention paid towards the differences over conventional boundary element implementations. Examples of Matlab® code are given whenever possible to aid understanding of the techniques used.
机译:近年来,等几何分析的概念发展迅速,其中用于描述CAD几何形状的参数函数也用于近似数字离散化中的未知字段。本文通过概述等几何边界元素方法(IGABEM)进一步推进了这一领域,该方法只需要表示域的几何图形即可进行分析,并与CAD完全提供的边界表示完全吻合。该方法规避了生成边界网格的要求,该边界网格是缩小工程设计与分析之间差距的重要一步。本文着重于2D IGABEM的弹力静力学分析的实现细节,特别注意与传统边界元素实现方法的差异。尽可能给出Matlab®代码示例,以帮助理解所使用的技术。

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