000015635 001__ 15635
000015635 005__ 20161115135325.0
000015635 04107 $$aeng
000015635 046__ $$k2013-06-12
000015635 100__ $$aSadovskaya, O.
000015635 24500 $$aComputational Modeling of the Waves Propagation in a Block Medium With Viscoelastic Interlayers

000015635 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015635 260__ $$bNational Technical University of Athens, 2013
000015635 506__ $$arestricted
000015635 520__ $$2eng$$aIn the framework of mathematical model of a block medium with elastic blocks interacting through compliant viscoelastic interlayers and its approximation on the basis of equations of the Cosserat continuum, the problems of periodic perturbation of a layer and of a half-space under the action of distributed and localized surface loads are solved numerically. The simple formulas are suggested to determine the elasticity coefficients of the moment continuum by given characteristics of the materials of blocks and interlayers, which provide a good correspondence of the wave fields received by means of the exact and approximate models. Parallel computational algorithms, based on models of the inhomogeneous elasticity theory and the Cosserat elasticity theory, are applied to the analysis of propagation of elastic waves in geomaterials with layered and block microstructure. These algorithms are realized as parallel program systems for GPUs (using CUDA technology) and for multiprocessor computers of the cluster type (using MPI library). Monotone grid-characteristic schemes with a balanced number of time steps in elastic layers or blocks and in viscoelastic interlayers are used. By the analysis of numerical solutions it is shown that the multiblock medium has a resonant frequency of rotational motion of blocks, and this frequency does not depend on the size of a massif and on the boundary conditions at its surface.

000015635 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015635 653__ $$aBlock Medium, Cosserat Continuum, Viscoelasticity, Rotational Motion, Resonance Frequency, Parallel Program System.

000015635 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015635 720__ $$aSadovskaya, O.$$iSadovskii, V.$$iVarygina, M.
000015635 8560_ $$ffischerc@itam.cas.cz
000015635 8564_ $$s2154929$$uhttps://invenio.itam.cas.cz/record/15635/files/1178.pdf$$yOriginal version of the author's contribution as presented on CD, section: CD-RS 33 WAVES AND COMPUTATION
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000015635 962__ $$r15525
000015635 980__ $$aPAPER