Material constants identification in anisotropic materials using boundary element techniques
Material constants identification in anisotropic materials using boundary element techniques
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DOI：
10.1080/17415970500160715
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发表时间：
2005-01
影响因子：
1.3
通讯作者：
L. Comino;R. Gallego
中科院分区：
文献类型：
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作者：
L. Comino;R. Gallego
本文讨论了各向异性材料参数识别反问题的求解方法。它是基于边界元技术，它是作为一个剩余成本功能的优化问题。为此，使用标准的非线性最小化方法，Levenberg-Marquardt算法。该算法利用的材料常数，这在本文中已经使用直接微分程序计算的功能导数。该配方是为平面问题，一般各向异性，均匀或分段均匀域。几个例子已经进行，以证明所提出的程序的有效性。数值结果表明了该方法的有效性。
This article addresses the resolution of the inverse problem for parameter identification in anisotropic materials. It is based on Boundary Element techniques and it is approached as an optimization problem of a residual cost functional. For this purpose, a standard non-linear minimization method, the Levenberg–Marquardt algorithm, is used. This algorithm makes use of the functional derivatives with respect to the material constants, which in this article have been calculated using direct differentiation procedures. The formulation is developed for plane problems that are in general anisotropic, for homogeneous or piece-wise homogeneous domains. Several examples have been carried out in order to prove the validity of the proposed procedure. The numerical results presented demonstrate the effectiveness of the method employed.