Title
Numerical Modeling of a Block Medium as an Orthotropic Cosserat Continuum.
Abstract
Based on the equations of the dynamics of a piecewise-homogeneous elastic material, parallel computational algorithms are developed to simulate the process of stress and strain wave propagation in a medium consisting of a large number of blocks, interacting through compliant interlayers. For the description of waves in a block medium with thick interlayers the orthotropic couple-stress continuum theory, taking 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, the simple method is obtained to estimate mechanical parameters of an orthotropic Cosserat continuum, modeling a block 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, by the model of a block medium with compliant interlayers and the model of an orthotropic Cosserat continuum.
Year
DOI
Venue
2014
10.1007/978-3-319-20239-6_37
Lecture Notes in Computer Science
Keywords
DocType
Volume
Dynamics,Elasticity,Block medium,Cosserat continuum,Shock-capturing method,Parallel computational algorithm
Conference
9045
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Oxana V. Sadovskaya100.68
Vladimir M. Sadovskii201.01
Mariya A. Pokhabova300.34