On the noninvasive determination of material parameters from a knowledge of elastic displacements: Theory and numerical simulation
On the noninvasive determination of material parameters from a knowledge of elastic displacements: Theory and numerical simulation
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DOI：
10.1109/58.677725
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发表时间：
1998-05-01
影响因子：
3.6
通讯作者：
Bucaro, JA
中科院分区：
文献类型：
--
作者：
Romano, AJ;Shirron, JJ;Bucaro, JA
在本文中，我们提出了一个公式和数值模拟的非侵入性确定的材料参数比（即，拉梅参数除以密度）的各向同性，非均匀弹性介质的时间谐波振动。鉴于知识的位移在整个介质中，一个新的实施变分制剂用于确定的比率λ/ρ和μ/ρ。提出了一种理论公式，并使用有限元法获得的数值数据进行验证。结果表明，该方法可以局部应用于非均匀介质中，并且可以恢复相应的材料参数，以达到较高的精度。此外，该方法似乎不受先前方法的典型波长约束。
In this paper, we present a formulation and numerical simulation for the noninvasive determination of the material parameter ratios (i.e., the Lame parameters divided by density) of an isotropic, inhomogenous elastic medium subject to time harmonic vibration. Given a knowledge of the displacements throughout the medium, a novel implementation of a variational formulation is used to determine the ratios lambda/rho and mu/rho. A theoretical formulation is presented and validated using numerical data obtained from a finite element method. The results indicate that the method may be applied locally within an inhomogenous medium, and that the corresponding material parameters can be recovered to a high degree of accuracy. In addition, the method does not appear to be subject to the typical wavelength constraints of previous methods.