Mapping of two-dimensional contact problems on a problem with a one-dimensional parametrization; Physical Mesomechanics; Vol. 21, iss. 1
| Parent link: | Physical Mesomechanics Vol. 21, iss. 1.— 2018.— [P. 80-84] |
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| Hlavní autor: | |
| Korporativní autor: | |
| Shrnutí: | 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 |
| Jazyk: | angličtina |
| Vydáno: |
2018
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| Témata: | |
| On-line přístup: | https://doi.org/10.1134/S1029959918010113 |
| Médium: | Elektronický zdroj Kapitola |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=663923 |
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| 200 | 1 | |a Mapping of two-dimensional contact problems on a problem with a one-dimensional parametrization |f V. L. Popov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 83-84 (18 tit.)] | ||
| 330 | |a 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. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Physical Mesomechanics | ||
| 463 | |t Vol. 21, iss. 1 |v [P. 80-84] |d 2018 | ||
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a line contact | |
| 610 | 1 | |a two-dimensional contact | |
| 610 | 1 | |a method of dimensionality reduction | |
| 610 | 1 | |a Mossakovskii-Jager superposition principle | |
| 610 | 1 | |a adhesion | |
| 610 | 1 | |a адгезия | |
| 610 | 1 | |a параметризация | |
| 610 | 1 | |a размерности | |
| 610 | 1 | |a контактные задачи | |
| 700 | 1 | |a Popov |b V. L. |c physicist |c leading researcher of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1959- |g Valentin Leonidovich |3 (RuTPU)RU\TPU\pers\35915 | |
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