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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 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Indentation of an Elastic Half-space by a Rigid Flat Punch as a Model Problem for Analysing Contact Problems with Coulomb Friction Tvůrce(i) Ballard, P. (FR)
Jarušek, Jiří (MU-W) RID, ORCID, SAIZdroj.dok. Journal of Elasticity. - : Springer - ISSN 0374-3535
Roč. 103, č. 1 (2011), s. 15-52Poč.str. 38 s. Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova elasticity ; contact ; friction ; uniqueness ; singularity Vědní obor RIV BA - Obecná matematika CEP IAA100750802 GA AV ČR - Akademie věd CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000287151600002 EID SCOPUS 79851515513 DOI 10.1007/s10659-010-9270-9 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2011
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