Modélisation par équations intégrales du frottement sur un demi-espace élasto-plastique

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Bibliographic Details
Title: Modélisation par équations intégrales du frottement sur un demi-espace élasto-plastique
Authors: Lederer, Guy, Bonnet, Marc, Maitournam, H.M.
Contributors: Laboratoire de Mécanique des Solides (LMS), École polytechnique (X), Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-Centre National de la Recherche Scientifique (CNRS)
Source: Revue Européenne des Éléments Finis. 7:131-147
Publisher Information: Informa UK Limited, 1998.
Publication Year: 1998
Subject Terms: 0203 mechanical engineering, [PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph], équations intégrales, implicite, élastoplasticité, calcul stationnaire, 02 engineering and technology, [SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph], 0210 nano-technology, contact
Description: This paper deals with a regularised integral equation formulation for contact problems on elastic-plastic bodies, under the plane strain assumption. The formulation has been implemented for indentation and rolling/sliding contact problems on isotropic homogeneous half planes. It constitutes a natural extension to non-linear problems of the classical analytical methods developed for linear elastic contact mechanics. Two versions of an implicit elastic-plastic constitutive integration algorithm, dealing with loads respectively fixed or moving at constant velocity, have been implemented in this integral equation framework. The steady-state version can be applied to multiple rolling/sliding loads and to the determination of the stabilised elastic-plastic state. Several numerical examples illustrate the various aspects of our formulation: fixed or moving load, contact pressure known a priori or iteratively computed, numerical classification of the stabilised elastic-plastic states reached as a functio...
Document Type: Article
Other literature type
Language: English
ISSN: 1250-6559
DOI: 10.1080/12506559.1998.11690470
Access URL: https://hal.archives-ouvertes.fr/hal-00111253/file/reef98_ms.pdf
https://hal.archives-ouvertes.fr/hal-00111253
https://hal.archives-ouvertes.fr/hal-00111253/document
Accession Number: edsair.doi.dedup.....a306357b4f9968b51dd89cdc01c64292
Database: OpenAIRE
Description
Abstract:This paper deals with a regularised integral equation formulation for contact problems on elastic-plastic bodies, under the plane strain assumption. The formulation has been implemented for indentation and rolling/sliding contact problems on isotropic homogeneous half planes. It constitutes a natural extension to non-linear problems of the classical analytical methods developed for linear elastic contact mechanics. Two versions of an implicit elastic-plastic constitutive integration algorithm, dealing with loads respectively fixed or moving at constant velocity, have been implemented in this integral equation framework. The steady-state version can be applied to multiple rolling/sliding loads and to the determination of the stabilised elastic-plastic state. Several numerical examples illustrate the various aspects of our formulation: fixed or moving load, contact pressure known a priori or iteratively computed, numerical classification of the stabilised elastic-plastic states reached as a functio...
ISSN:12506559
DOI:10.1080/12506559.1998.11690470