Computational multiple scattering analysis for shear wave propagation in unidirectional composites

Wave transmission characteristics in periodic media of finite length: multilayers and fiber arrays

“…The former example, analyzed by the one-dimensional transfer matrix approach, offers a basic insight into the phenomenon at hand on a sound theoretical foundation. The latter example partly corresponds to the computational results in the previous paper (Biwa et al, 2004) but is reproduced here with finer frequency resolution in order to demonstrate the oscillation characteristics more clearly.…”

“…Recently, Biwa et al (2004) formulated a numerical scheme for multiple scattering of shear (SH) waves in unidirectional fiber composites based on the eigenfunction expansion and a collocation technique. Their procedure is capable of treating the multiple scattering by a number of fibers arranged either regularly or randomly.…”

Study on the Single Scattering of Elastic Waves by a Cylindrical Fiber with a Partially Imperfect Bonding Using the Collocation Point Method

“…To simplify the analysis and calculation, the fibers/particulates are generally assumed to be perfectly bonded to the surrounding matrix [1][2][3][4]. However, this is not always the case, which has consequently led to the increased research effort to take the bonding conditions into account [5][6][7][8][9][10][11][12][13][14][15][16].…”

Attenuation and dispersion of antiplane shear waves due to scattering by many two-dimensional cavities

“…[18][19][20] On the other hand, using computer simulations of wave scattering free from those effects may be helpful in examining the validity of the theories more directly; though less practical than laboratory ones, numerical experiments could be configured more loyally to the assumptions made in the theories. [24][25][26][27] Another possible reason for the discrepancy among the experimental results may be the variation in the methods to measure the attenuation and phase velocities of coherent waves. Some researchers measured the amplitude changes and moving speeds of the peaks of transmitting pulses, [22][23][24] whereas others calculated their spectral changes.…”