A Discrete Model for the High Frequency Elastic Wave Examination on Biological Tissue
Jun Liu; and Mauro Ferrari

Source CMES: Computer Modeling in Engineering & Sciences, Vol. 4, No. 4, pp. 421-430, 2003
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Keywords Biological nanomechanics, granular media, reflection coefficients, thin layer, plane wave propagation.
Abstract A microstructure-accounting mechanical field theory approach is applied to the problem of reflection from a granular thin layer embedded between two solid substrates to study the direct relationship of the micro-structural parameters and the overall reflection coefficients of the thin layer. The exact solution for plane wave reflection coefficients is derived under the new theoretical framework giving quantitative relations between the macroscopic reflection coefficients and a set of micro structural/physical parameters including particle size and micromoduli. The model was analyzed using averaged material properties of biological tissue for the granular thin layer. It was demonstrated that changes in micro-level physical and geometrical parameters affect the reflectivity of the thin layer. The results indicate that it is possible to quantitatively determine micro-parameters of the embedded granular material if the reflection spectra are experimentally determined. The effects of micro-parameters also suggest that the discrete representation of biological tissue might be advantageous in modeling its biomechanical responses.
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