Тип публикации: статья из журнала
Год издания: 2015
Идентификатор DOI: 10.1016/j.wavemoti.2014.09.008
Ключевые слова: blocky medium, compliant interlayer, cosserat continuum, dynamic elasticity
Аннотация: Based on the equations of the dynamics of piecewise-homogeneous elastic material, parallel computational algorithms are developed to simulate the process of stress and strain wave propagation in amedium consisting of alarge number of blocks interacting through compliant interlayers. Computations of waves caused by localized impulseПоказать полностьюperturbations show that such amedium can be considered as isotropic only in the case of sufficiently thin interlayers. In the case of relatively thick interlayers, the anisotropy effects are observed which consist in the appearance of elongated wave fronts along the coordinate directions and characteristic oscillations of velocities and stresses because of the rotational motion of blocks. For the description of waves in ablocky medium with thin interlayers, the equations of the isotropic Cosserat continuum are applicable. As the thickness of interlayers increases, the orthotropic Cosserat continuum theory which takes into account the symmetry of elastic properties relative to the coordinate planes can be applied. By comparing the elastic wave velocities in the framework of piecewise-homogeneous model and continuum model, a simple method is obtained to estimate the mechanical parameters of the orthotropic Cosserat continuum modeling ablocky medium. In two-dimensional formulation of the orthotropic model the computational algorithm and the program system are worked out for the analysis of propagation of elastic waves. The comparison showed good qualitative agreement between the results of computations of waves caused by localized impulses, in the framework of the model of ablocky medium with compliant interlayers and the model of orthotropic Cosserat continuum. © 2014 Elsevier B.V.
Журнал: Wave Motion
Выпуск журнала: Т. 52
Номера страниц: 138-150
ISSN журнала: 01652125
Издатель: Elsevier Science Publishing Company, Inc.