Bifurcations in piecewise-smooth steady-state problems: abstract study and application to plane contact problems with friction

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33157985" target="_blank" >RIV/61989592:15310/15:33157985 - isvavai.cz</a>

Result on the web

<a href="http://link.springer.com/article/10.1007%2Fs00466-015-1154-1" target="_blank" >http://link.springer.com/article/10.1007%2Fs00466-015-1154-1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00466-015-1154-1" target="_blank" >10.1007/s00466-015-1154-1</a>

Result language

angličtina

Original language name

Bifurcations in piecewise-smooth steady-state problems: abstract study and application to plane contact problems with friction

Original language description

The paper presents a local study of bifurcations in a class of piecewise-smooth steady-state problems for which the regions of smooth behaviour permit analytical expressions. A system of piecewise-linear equations capturing the essential features of branching scenarios around points of non-smoothness is derived under the assumptions that (i) the points lie in the intersection of the boundaries of the regions where the gradients of the respective smooth selections have the full rank, (ii) there is no solution branch whose tangential direction is tangent to the boundary of any of the regions. The simplest cases of this system are studied in detail and the most probable branching scenarios are described. A criterion for detecting bifurcation points is proposed and a procedure for its realisation in the course of numerical continuation of solution curves is designed for large problems. Application of the general frame to discretised plane contact problems with Coulomb friction is explained

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/EE2.3.30.0041" target="_blank" >EE2.3.30.0041: POST-UP II.</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2015

Confidentiality

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

Name of the periodical

Computational Mechanics

ISSN

0178-7675

e-ISSN

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Volume of the periodical

56

Issue of the periodical within the volume

1

Country of publishing house

DE - GERMANY

Number of pages

24

Pages from-to

"39-62"

UT code for WoS article

000356731700003

EID of the result in the Scopus database

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