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100 _a20210317a2018 k y0engy50 ba
101 1 _aeng
102 _aUS
135 _adrcn ---uucaa
181 0 _ai
182 0 _ab
200 1 _aMapping of two-dimensional contact problems on a problem with a one-dimensional parametrization
_fV. L. Popov
203 _aText
_celectronic
300 _aTitle screen
320 _a[References: 83-84 (18 tit.)]
330 _aWe 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 _aРежим доступа: по договору с организацией-держателем ресурса
461 _tPhysical Mesomechanics
463 _tVol. 21, iss. 1
_v[P. 80-84]
_d2018
610 1 _aтруды учёных ТПУ
610 1 _aэлектронный ресурс
610 1 _aline contact
610 1 _atwo-dimensional contact
610 1 _amethod of dimensionality reduction
610 1 _aMossakovskii-Jager superposition principle
610 1 _aadhesion
610 1 _aадгезия
610 1 _aпараметризация
610 1 _aразмерности
610 1 _aконтактные задачи
700 1 _aPopov
_bV. L.
_cphysicist
_cleading researcher of Tomsk Polytechnic University, Doctor of physical and mathematical sciences
_f1959-
_gValentin Leonidovich
_2stltpush
_3(RuTPU)RU\TPU\pers\35915
712 0 2 _aНациональный исследовательский Томский политехнический университет (ТПУ)
_bИнженерная школа новых производственных технологий (ИШНПТ)
_bОтделение материаловедения (ОМ)
_h7871
_2stltpush
_3(RuTPU)RU\TPU\col\23508
801 2 _aRU
_b63413507
_c20210317
_gRCR
856 4 _uhttps://doi.org/10.1134/S1029959918010113
942 _cCF