Development of new inverse boundary element techniques in photoelasticity
Development of new inverse boundary element techniques in photoelasticity
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DOI：
10.1243/0309324011514449
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发表时间：
2001-04
期刊：
影响因子：
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通讯作者：
D. Chen;A. Becker;I. A. Jones;T H Hyde;P. Wang
中科院分区：
文献类型：
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作者：
D. Chen;A. Becker;I. A. Jones;T H Hyde;P. Wang
本文提出了一些可能的算法，逆边界元（BE）技术应用于光弹性分析。BE技术被证明是光弹性分析的理想伴侣，因为与有限元（FE）方法不同，内部解决方案可以由未连接的点，而不是由离散元素表示。从光弹性主应力信息获得的足够数量的内部点，未知的边界条件可以使用逆边界元法（BEM）重建。逆BE理论和数值公式的问题，涉及笛卡尔应力分量，然后扩展到光弹性应力分析。逆BE方法遵循两个阶段。在第一阶段，光弹性应力测量的主应力的差异和他们的方向在内部点被用来计算表面上的未知边界条件。在第2阶段中，使用第1阶段计算的边界条件通过正向边界元法计算各个应力分量。分析中还考虑了实验结果的分散性。本文中提出了一些例子，并显示出与其他解决方案非常一致。
This paper presents a number of possible algorithms for inverse boundary element (BE) techniques applied to photoelastic analysis. The BE technique is shown to be an ideal companion to photoelastic analysis since, unlike the finite element (FE) method, the interior solutions can be represented by unconnected points rather than by discretized elements. From the photoelastic principal stress information obtained at a sufficient number of internal points, the unknown boundary conditions can be reconstructed using the inverse boundary element method (BEM). The inverse BE theory and numerical formulation are presented for problems involving Cartesian stress components and are then extended to photoelastic stress analysis. The inverse BE approach follows two stages. In stage 1, the photoelastic stress measurements of the differences in principal stresses and their directions at the interior points are used to compute the unknown boundary conditions on the surface. In stage 2, the individual stress components are calculated by the forward BEM using the computed boundary conditions from stage 1. The effect of scatter of the experimental results is also included in the analysis. A number of examples are presented in this paper and are shown to be in excellent agreement with other solutions.