Contacts with limited interpenetration

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Contacts with limited interpenetration

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Contacts with limited interpenetration

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

MethodsX

ISSN

2215-0161

e-ISSN

2215-0161

Svazek periodika

9

Číslo periodika v rámci svazku

April

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

5

Strana od-do

101688

Kód UT WoS článku

000797241600003

EID výsledku v databázi Scopus

2-s2.0-85129529360