Mapping of two-dimensional contact problems on a problem with a one-dimensional parametrization; Physical Mesomechanics; Vol. 21, iss. 1

Mapping of two-dimensional contact problems on a problem with a one-dimensional parametrization; Physical Mesomechanics; Vol. 21, iss. 1

Bibliographic Details
Parent link:	Physical Mesomechanics Vol. 21, iss. 1.— 2018.— [P. 80-84]
Main Author:	Popov V. L. Valentin Leonidovich
Corporate Author:	Национальный исследовательский Томский политехнический университет (ТПУ) Инженерная школа новых производственных технологий (ИШНПТ) Отделение материаловедения (ОМ)
Summary:	Title screen We discuss a possible generalization of the ideas of the method of dimensionality reduction (MDR) for the mapping of two-dimensional contact problems (line contacts). The conventional formulation of the MDR is based on the existence and uniqueness of a relation between indentation depth and contact radius. In two-dimensional contact problems, the indentation depth is not defined unambiguously, thus another parametrization is needed. We show here that the Mossakovskii-Jäger procedure of representing a contact as a series of incremental indentations by flat-ended indenters can be carried out in two-dimensions as well. The only available parameter of this process is, however, the normal load (instead of indentation depth as in the case of threedimensional contacts). Using this idea, a complete solution is obtained for arbitrary symmetric two-dimensional contacts with a compact contact area. The solution includes both the relations of force and half-width of the contact and the stress distribution in the contact area. The procedure is generalized for adhesive contacts and is illustrated by solutions of a series of contact problems. Режим доступа: по договору с организацией-держателем ресурса
Language:	English
Published:	2018
Subjects:	труды учёных ТПУ электронный ресурс line contact two-dimensional contact method of dimensionality reduction Mossakovskii-Jager superposition principle adhesion адгезия параметризация размерности контактные задачи
Online Access:	https://doi.org/10.1134/S1029959918010113
Format:	Electronic Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=663923

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