Finite Element Computational Technology in Resonant Ultrasound Spectroscopy of Composite Materials


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RUS−resonant ultrasound spectroscopy is a recent experimental−numerical method for the determination of moduli of elastic materials. Generally, all 21 elastic components of the elastic tensor can be determined by the numerical procedure based on the knowledge of a mechanical spectrum of a specimen. This involves the solution of a demanding inverse problem. Currently, the RUS technology allows the determination of material parameters of composite materials consisting of several layers with different material properties. In the present work, the fixed point iteration method in connection with the finite element method developed earlier is extended to optimize elastic moduli of layered materials. Properties of the fixed point iteration method are tested on a bicrystal specimen.



Edited by:

Jaroslav Pokluda




R. Kolman et al., "Finite Element Computational Technology in Resonant Ultrasound Spectroscopy of Composite Materials", Materials Science Forum, Vol. 482, pp. 343-346, 2005

Online since:

April 2005




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[2] J. Plesek, R. Kolman and M. Landa: J. Acoust. Soc. Am. Vol. 116 (2004), p.282.

[3] PMD, FEM program, Vamet s r. o., version f77. 7 (2002).

[4] A. Machova: Elastic constants of monocrystals of Fe-Si alloys, PhD. thesis, (Institute of Physics, ASCR, Prague 1975). Figure 2: Convergence of FPI method for test example.

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