Name
Telyatnikov Ilya Sergeevich
Scholastic degree
•
Academic rank
—
Honorary rank
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Organization, job position
Southern Scientific Center
Web site url
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Articles count: 1
We propose an approach to the modeling of stressstrain
state of lithospheric structures near faults by
modeling them as Kirchhoff plates on threedimensional
elastic foundation. We describe an
efficient method of solving problems for plates with
rectilinear fractures, based on the transformation of
the differential operator, which allows us to analyze
the solutions obtained for different contact conditions
in the area of the fracture. The method is presented
on the example of the vibration problem of two
elongated plates on the surface of the elastic layer
under the effect of concentrated surface load. The
results of numerical implementation of the developed
algorithm make it possible to identify the influence of
the substrate properties, characteristics of the plates
and the nature of their border interactions on the
picture of wave process in the test structure. At the
same time obtained configurations of the harmonic
signal passage through the fracture can serve as an
indicator of its type. The proposed approach should
be used to determine the presence and type of
fractures based on measurements of signals from
vibration sources in cases when geophysical
environment can be modeled by the previously
described structure. The problems of studying objects
we reviewed in this paper also occur in various areas
of technology, and, therefore we can apply the
proposed method for their solution