Non-destructive estimation of spatially varying thermal conductivity in 3D objects using boundary thermal measurements
Non-destructive estimation of spatially varying thermal conductivity in 3D objects using boundary thermal measurements
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DOI：
10.1016/j.ijthermalsci.2017.05.011
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发表时间：
2017-08
影响因子：
4.5
通讯作者：
S. Reddy;G. Dulikravich;S. Zeidi
中科院分区：
文献类型：
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作者：
S. Reddy;G. Dulikravich;S. Zeidi
提出了一种仅使用边界测量对空间变化的材料属性进行非破坏性加速逆估计的方法。通过最小化实测值和计算值之间的最小二乘差之和来确定三维实体中扩散系数的空间分布。正问题采用有限体积法和有限单元法进行求解，并与解析解进行了比较。反问题的求解采用了最小化最小二乘误差和的优化技术。利用代理模型解决正演问题，加快了无损估计的速度。提出的方法被应用于包含不同水平的噪声的测量。最后，它被用来检测实体对象中子域的位置、大小和形状以及子域材质的材料属性。
A methodology for non-destructive, accelerated inverse estimation of spatially varying material properties using only boundary measurements is presented. The spatial distribution of diffusion coefficient in 3D solid object is determined by minimizing the sum of the least-squares difference between measured and calculated values. The forward problem is solved using the finite volume and finite element methods, both of which were compared against analytical solution. The inverse problem was solved using an optimization technique to minimize the sum of the least-square errors. The non-destructive estimation was accelerated by the use of surrogate models to solve the forward problem. The presented methodology is applied to measurements containing varying levels of noise. Finally, it is used to detect both the location, size and shape of a subdomain within a solid object and material property of the subdomain material.