E3S Web Conf.
Volume 162, 2020The 4th International Conference on Power, Energy and Mechanical Engineering (ICPEME 2020)
|Number of page(s)||4|
|Section||Material Structure Design and Performance Analysis|
|Published online||07 April 2020|
Contact problem for foundations with multilayer nonuniform coatings of variable thickness
Ishlinsky Institute for Problems in Mechanics RAS, 119526, pr-t Vernadskogo 101-1, Moscow, Russia
2 Bauman Moscow State Technical University, 105005, 2ya Baumanskaya 5-1, Moscow, Russia
* Corresponding author: firstname.lastname@example.org
The article is devoted to study of the contact problem for a punch with a complex shape and a base with a coating consisting of nonuniform layers of variable thickness. Such a foundations are often found in practice. Coating layers in them can play a role, for example, heat or electric insulators. Such layers can be used as protection against mechanical stress on the main structure. Mathematical model of the problem is constructed. It is a mixed integral equation containing functions that describe the properties and thicknesses of the layers, as well as the shapes of the contacting bodies, and additional integral conditions. Analytical solution of the problem is presented for one of the formulation options. In the resulting solution, the functions associated with the properties and forms of bodies are distinguished by separate terms. This allows one to perform high-quality calculations and analysis of the behavior of the punch on the layer, even if these functions are rapidly changing.
© The Authors, published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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