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Indentation of an Elastic Half-space by a Rigid Flat Punch as a Model Problem for Analysing Contact Problems with Coulomb Friction
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SYSNO ASEP 0349600 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Indentation of an Elastic Half-space by a Rigid Flat Punch as a Model Problem for Analysing Contact Problems with Coulomb Friction Author(s) Ballard, P. (FR)
Jarušek, Jiří (MU-W) RID, ORCID, SAISource Title Journal of Elasticity. - : Springer - ISSN 0374-3535
Roč. 103, č. 1 (2011), s. 15-52Number of pages 38 s. Language eng - English Country NL - Netherlands Keywords elasticity ; contact ; friction ; uniqueness ; singularity Subject RIV BA - General Mathematics R&D Projects IAA100750802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000287151600002 EID SCOPUS 79851515513 DOI 10.1007/s10659-010-9270-9 Annotation One important problem which still remains to be solved today is the uniqueness of the solution of contact problems in linearized elastostatics with small Coulomb friction. This difficult question is addressed here in the case of the indentation of a two-dimensional elastic half-space by a rigid flat punch of finite width, which has been previously studied by Spence in Proc. Camb. Philos. Soc. 73, 249–268 (1973). It is proved that all the solutions have the same simple structure, involving active contact everywhere below the punch and a sticking interval surrounded by two inward slipping intervals. All these solutions show the same local asymptotics for surface traction and displacement at a border between a sticking and a slipping zone. These asymptotics describe (soft) singularities, which are universal (they hold with any geometry) and are explicitly given. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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