To the localization problem of strenuously strained state in the bodies with covers, containing defects
UDC
539.3Abstract
The possibility of localization of strenuously strained state of blocked structures, consisting of horizontal positioned different-typed blocks, contacting with each other on the borders is analyzed. This blocked structure is situated on the surface of three dimensional linear-elastic base. The observed blocked structures are placed under the vertical statistic external action. Such state is peculiar for lithosphere plates and also for nanomaterials and items, which are made of constructive materials. The analysis of strenuously strained state of lithosphere plates allows getting the information about character of seismic territories. The topological approach gives an opportunity to examine bodies with covers, containing concealed defects, which are not observed visually. The case of existence of concealed defects, which is capable of inducing the localization in that sphere is analyzed on the example of blocked structure, consisting of two different typed contacting half-planes on the three dimensional strained base. It should be noted, that statistic case can’t be received from the solving of analogical boundary problem about harmonic motions to the simple breaking move of disappearing frequency of motions. Static problems for coating defects can detect an increase of seismicity in areas with high seismic danger and under appropriate conditions, promotes the "silent earthquake". The detailed analysis of approach is made for important cases of contact of two fragments in the form of: half-planes, which are occurred in the earth-quake prone territories.
Keywords:
mixed boundary problem, localization, factorization of matrix functions, topology, outer forms, integral equationsAcknowledgement
References
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Copyright (c) 2015 Babeshko V.A., Evdokimova O.V., Babeshko O.M., Gladskoi I.B., Akinina M.M., Uafa G.N., Pluzhnik A.V., Shestopalov V.L.
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