То modeling harmonic oscillations of an anisotropic foundation containing a group of planar defects
UDC
539.3EDN
NAXSYQDOI:
10.31429/vestnik-22-3-36-42Abstract
Problems of modeling the dynamic processes in systems with foundations of varying depth arise in various scientific and technological fields. These include geophysics, geology, and seismology. In this paper, we consider a numerical-analytical approach to solving mixed boundary value problems for harmonic oscillations of layered anisotropic structures, which can be used in modeling geophysical media containing ordered groups of internal inhomogeneities. The method we present, which is based on the block element method and the principles of the vibration strength "viruses" theory, will allow us to study the properties, including localizational, of physical fields generated by surface sources and interface defects in anisotropic layered structures. To determine the conditions for the localization of a wave process by a system of interface defects, we need to know the real singularities for the elements of the Green's matrix functions and their determinants. This paper presents numerical examples for a four-layer stack of anisotropic materials with interface cracks modeled by a mathematical section. The study results of the problems for layered structures with planar defects can find applications in solving the problem of assessing the influence of mechanical vibrations on microseismicity and further the understanding of the various manifestations of seismicity induced, in particular, by harmonic effects of various genesis.
Keywords:
anisotropic layered medium, harmonic loads, plane cracksFunding information
The study was carried out with the financial support of the Russian Science Foundation and the KNF within the framework of project No. 24-21-20032.
References
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