Identification of material parameters of two-dimensional anisotropic bodies using an inverse multi-loading boundary element technique
Identification of material parameters of two-dimensional anisotropic bodies using an inverse multi-loading boundary element technique
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DOI：
10.3970/cmes.2012.087.055
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发表时间：
2012-12
影响因子：
2.4
通讯作者：
M. Hematiyan;A. Khosravifard;Y. Shiah;C. Tan
中科院分区：
文献类型：
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作者：
M. Hematiyan;A. Khosravifard;Y. Shiah;C. Tan
本文提出了一种基于边界元法和弹性静力试验的二维正交各向异性和一般各向异性体弹性常数的反演方法。在几个已知的负载情况下获得的身体的边界上的几个点的位移测量中使用的反分析，以找到未知的弹性常数的身体。使用来自多个弹性静力学实验的数据，可以更准确和稳定地解决识别问题。在反分析中，只需要边界点的位移对弹性常数的灵敏度。因此，边界元法是实现这一目的的一种非常有用且有效的方法。迭代Tikhonov正则化方法用于反分析。本文还提出了一种简单计算未知弹性常数初始猜测值的方法和一种在反分析中适当选择正则化参数的方法。通过几个算例研究了该方法在测量误差和荷载工况数方面的收敛性和精度。
An inverse technique, based on the boundary element method (BEM) and elastostatic experiments for identification of elastic constants of orthotropic and general anisotropic 2D bodies is presented. Displacement measurements at several points on the boundary of the body, obtained by a few known load cases are used in the inverse analysis to find the unknown elastic constants of the body. Using data from more than one elastostatic experiment results in a more accurate and stable solution for the identification problem. In the inverse analysis, sensitivities of displacements of only boundary points with respect to the elastic constants are needed. Therefore, the BEM is a very useful and effective method for this purpose. An iterative Tikhonov regularization method is used for the inverse analysis. A method for simple computation of initial guesses for unknown elastic constants and a procedure for appropriate selection of the regularization parameter appearing in the inverse analysis is also proposed. Convergence and accuracy of the presented method with respect to measurement errors and number of load cases are investigated by presenting several examples.