Contacts with limited interpenetration

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00558123" target="_blank" >RIV/67985840:_____/22:00558123 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1016/j.mex.2022.101688" target="_blank" >https://doi.org/10.1016/j.mex.2022.101688</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.mex.2022.101688" target="_blank" >10.1016/j.mex.2022.101688</a>

Result language

angličtina

Original language name

Contacts with limited interpenetration

Original language description

The aim of this paper is to acquaint a wider public of applied mathematicians, numerical analysts and engineers with the model of contact with limited interpenetration as a suitable framework for computation of practical problems. It is mostly based on the newly published Ref. [5]. The model is physically well based on the microscopic structure of a standard material of a body being in an actual or potential contact with a rigid foundation. Such microscopic phenomena are macroscopically interpreted as a certain but strictly limited surface interpenetration of both objects. The essence of this interpenetration is depicted in the graphical abstract. After a brief description of its motivation and the method itself, a comparison with the other contact models available together with the detailed description of the graphical abstract is presented. Furthermore, the application of the method to a quasistatic frictional boundary contact is described. Moreover, a brief description of the methods used in the proof of the existence of solutions of such contact problems is provided. If the depth of the interpenetration tends to zero, then there is some sequence of solutions of such problems and some solution to the corresponding Signorini contact problem such that it is the limit of the sequence. Requirements for the use of the presented model in solving practical problems as well as its other aspects are briefly discussed. Summing up: • the presented and other results published (Refs. [1–4]) create a reliable basis of the numerical analysis of the problems, • the method is ready to be used in solving a wide class of contact problems arising in technical practice.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2022

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

MethodsX

ISSN

2215-0161

e-ISSN

2215-0161

Volume of the periodical

9

Issue of the periodical within the volume

April

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

5

Pages from-to

101688

UT code for WoS article

000797241600003

EID of the result in the Scopus database

2-s2.0-85129529360