About defects in the rigid contact of lithospheric plates to the basement and arbitrary harmonic influences
UDC
539.3Abstract
The existence of hidden defects, which are not observed visually, in coatings of nanomaterials, in seismology and in materials science is investigated. A method of investigation of such defects in coatings, based on a topological approach is developed. An analysis of defects is given using the example of an investigation of the stress-strain state of a block structure consisting of two-dimensional horizontally disposed different-type blocks contacting along the boundaries between themselves. The block structure is located on the surface of a three-dimensional linearly deformable substrate and is rigidly connected to it. The considered block structures are under arbitrary harmonic external influence. This is characteristic not only of nanocoatings, surface hardening of materials, but also of lithospheric plates, the investigation of the stress-strain state of which serves the purpose of obtaining information about the seismicity of the territories. The obtained results indicate that the hidden defects are actually new types of cracks, supplementing the known Griffiths-Irwin cracks. Unlike Griffiths-Irwin cracks, characterized by roundness and smoothness of boundaries, this particular type of cracks contains fractures of boundaries and visually more accurately describes crack boundaries, for example, in brittle materials such as, for example, glass.
Keywords:
block element, factorization, topology, integral and differential factorization methods, exterior forms, block structures, boundary problems, bodies with coverings, hidden defectsAcknowledgement
References
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Copyright (c) 2017 Babeshko O.M., Babeshko V.A., Evdokimova O.V.
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