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Isogeometric boundary element analysis for two-dimensional thermoelasticity with variable temperature

机译：变温二维热弹性的等几何边界元分析

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摘要

This work is devoted to numerical analysis for two-dimensional thermoelasticity problems with temperature change by using the isogeometric boundary element method (IGABEM). The present IGABEM, which is highly attractive, possesses advantages of the isogeometric analysis with NURBS and boundary element method. We derive the theoretical formulations in terms of the IGABEM and apply it to thermal stress analysis. We examine the performance and accuracy of the proposed approach through numerical test cases which include steady-state uniform and non-uniform temperature change. The computed results are compared with the reference solutions which were derived from analytical or finite element methods. We also investigate the convergence of the present approach in modeling thermal stress problem.
机译：这项工作致力于通过使用等几何边界元方法（IGABEM）对温度变化的二维热弹性问题进行数值分析。目前的IGABEM具有很高的吸引力，它具有使用NURBS和边界元方法进行等几何分析的优势。我们根据IGABEM推导了理论公式，并将其应用于热应力分析。我们通过包括稳态均一和非均一温度变化的数值测试案例来检验所提出方法的性能和准确性。将计算结果与由解析或有限元方法得出的参考溶液进行比较。我们还研究了在模拟热应力问题中本方法的收敛性。

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