Abstract

The article considers two problems, one of which is related to the engineering direction, devoted to the study of the resources of bearings with coatings that have received a certain defect. The second relates to the mechanics of natural phenomena and is associated with the phenomenon of subduction. Subduction is the process of moving oceanic lithospheric plates under the continental in the coastal zone. It is the phenomena of subduction that lead to earthquakes that generate tsunamis. It is estimated that the length of the coastal zones where the subduction process takes place is 45 thousand kilometers. Subduction zones are zones of intense coastal marine and oceanic earthquakes that are characterized by faults in lithospheric plates. The authors managed to notice that both of these problems are mathematically described by the same boundary-value problems. To study and solve them, the block element method is used, which allows one to precisely solve these problems. The study showed that in the zones of defects and faults, high stress concentrations occur, leading to destruction of the coatings. The consequences of such destruction are investigated.

中文翻译：

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关于轴承资源和俯冲过程的力学

摘要

本文考虑了两个问题，其中一个与工程方向有关，专门研究具有一定缺陷的带有涂层的轴承资源。第二个涉及自然现象的力学，并与俯冲现象有关。俯冲是将海洋岩石圈板块移动到沿海地区的大陆下的过程。俯冲现象导致地震产生海啸。据估计，发生俯冲过程的沿海地区的长度为4.5万公里。俯冲带是强烈的沿海海洋和海洋地震带，其特征是岩石圈板块的断裂。作者设法注意到，这两个问题在数学上都是由相同的边值问题描述的。为了研究和解决它们，使用了块元素方法，该方法可以精确地解决这些问题。研究表明，在缺陷和断层区域，会出现高应力集中，从而导致涂层破坏。调查了这种破坏的后果。