Investigation of the validity of the elastic Kirchhoff approximation for rough cracks using a finite element approach
Investigation of the validity of the elastic Kirchhoff approximation for rough cracks using a finite element approach
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使用有限元方法研究粗糙裂纹弹性基尔霍夫近似的有效性
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
R. Craster
中科院分区：
文献类型：
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作者：
F. Shi;W. Choi;E. Skelton;M. Lowe;R. Craster
通过与有限元方法的比较，研究了计算二维和三维粗糙裂纹弹性波散射的基尔霍夫近似。该方法结合了时域有限元法和混合法计算粗糙裂纹的散射信号。本文以具有高斯轮廓的随机粗糙表面为例，研究了基尔霍夫近似的有效性。模拟作为入射/散射角和粗糙度的函数运行。使用这两种不同的数值方法来比较接收信号的形状和峰值幅度。通过与有限元方法的比较，发现了基尔霍夫近似的某些限制范围，并且发现这些限制范围在二维和三维之间是不同的。
The Kirchhoff approximation to calculate the elastic wave scattering from 2D and 3D rough cracks is examined by a comparison with a finite element (FE) approach. This approach couples a time domain finite element solver and a hybrid method to compute the scattering signals from rough cracks. Random rough surfaces with Gaussian profiles are used in this paper to study the validity of the Kirchhoff approximation. Simulations are run as a function of incident/scattering angle and roughness. Both the shape and the peak amplitude of the received signal are compared using the two different numerical approaches. Certain restricted ranges for the Kirchhoff approximation are found through the comparison with the FE method, and these are found to be different between 2D and 3D.