Вісник Тернопільського національного технічного університету

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Hot stamp pressure on elastic half-space taking into account imperfect thermal contact through thin intermediate layer

Назва	Hot stamp pressure on elastic half-space taking into account imperfect thermal contact through thin intermediate layer
Назва англійською	Hot stamp pressure on elastic half-space taking into account imperfect thermal contact through thin intermediate layer
Автори	Bohdan Okrepkyi (https://orcid.org/ 0000-0003-1357-9632); Tetyana Pyndus (https://orcid.org/ 0000-0002-7269-1467); Borys Shelestovs’kyi (https://orcid.org/ 0000-0002-5606-6290)
Принадлежність	Ternopil National Economic University, Ternopil, Ukraine Ternopil Ivan Puluj National Tehnical University, Ternopil, Ukraine
Бібліографічний опис	Hot stamp pressure on elastic half-space taking into account imperfect thermal contact through thin intermediate layer / Bohdan Okrepkyi; Tetyana Pyndus; Borys Shelestovs’kyi / Scientific Journal of TNTU. — Tern. : TNTU, 2019. — Vol 96. — No 4. — P. 13–22.
Bibliographic description:	Okrepkyi B.; Pyndus T.; Shelestovs’kyi B. (2019) Hot stamp pressure on elastic half-space taking into account imperfect thermal contact through thin intermediate layer. Scientific Journal of TNTU (Tern.), vol 96, no 4, pp. 13–22.
DOI:	https://doi.org/10.33108/visnyk_tntu2019.04.013
УДК	539.3
Ключові слова	stamp, half-space, temperature, imperfect thermal contact, thermal conductivity coefficients, contact stresses.
	The solution of the axially symmetric contact problem of thermal elasticity concerning circular cylindrical isotropic stamp pressure on elastic isotropic half-space, taking into account imperfect thermal contact through thin intermediate layer between the stamp and half-space is developed in this paper. The half-space surface outside the contact area is free from external forces. Tangential stresses in the contact area are equal to zero. Constant temperature is given on the free end face of the cylinder. The lateral surface is thermally insulated and the free half-space surface is maintained at zero temperature. The method of temperature fields determination in the cylinder and half-space, as well as the normal contact stresses under given assumptions is developed. The temperature field, displacement, and stress are represented by unknown coefficients determined from infinite systems of linear algebraic equations. Numerical calculations for defining the temperature and the normal stress temperature component in half-space in the contact area for different values of the intermediate layer thermal conductivity coefficients are carried out.
ISSN:	2522-4433
Перелік літератури	Grilickij D. V., Kizyma YA. Osesimmetrichnye kontaktnye zadachi teorii uprugosti i termouprugosti. L'vov:Vishcha shkola, 1981. 135 p. [Іn Russian]. Okrepkyi B. S., Shelestovska M. Tysk tsylindrychnoho kruhovoho shtampa na pruzhnyi pivprostir z urakhuvanniam neidealnoho teplovoho kontaktu. Visnyk TNTU. 2006. No. 3. P. 26–33. [Іn Ukrainian]. Okrepkyi B. S. Tysk tsylindrychnoho kruhovoho shtampa na pruzhnyi shar z urakhuvanniam neidealnoho teplovoho kontaktu. Visnyk TNTU. 2011. Vol. 16. No. 2. P. 42–52. [Іn Ukrainian]. Okrepkyi B. S. Osesymetrychna kontaktna zadacha termopruzhnosti pro tysk pruzhnoho tsylindra na pruzhnyi pivprostir z urakhuvanniam neidealnoho teplovoho kontaktu. Visnyk Ternopilskoho derzhavnoho tekhnichnoho universytetu. 2014. No. 2. P. 65–76. [Іn Ukrainian]. Podstrigach Ya. S. Usloviya teplovogo kontakta tverdyih tel. DAN USSR. Seriya A. 1963. No. 7. P. 188–192. [Іn Russian]. Podstrigach Ya. S. Temperaturnoe pole v sisteme tverdyih tel, soprikasaemyih s pomoschyu tonkogo promezhutochnogo sloya. IFZh. 1963. T. 6. No. 10. P. 129–136. [Іn Russian]. Kovalenko A. D. Osnovy termouprugosti. Kiev: Nauk.dumka, 1970. 304 p. [Іn Russian]. Okrepkyj B. S. Vyznachennja temperaturnogho polja v systemi til cylindr-pivprostir pry neidealjnomu teplovomu kontakti cherez promizhkovyj shar. Visnyk TNTU. 2013. No. 1. P. 253–262. [Іn Ukrainian]. Uitteker E. T. Kurs sovremennogo analiza. M.: Fizmat., 1963. 343 p. [Іn Russian].
References:	Grilickij D. V., Kizyma YA. Osesimmetrichnye kontaktnye zadachi teorii uprugosti i termouprugosti. L'vov:Vishcha shkola, 1981. 135 p. [Іn Russian]. Okrepkyi B. S., Shelestovska M. Tysk tsylindrychnoho kruhovoho shtampa na pruzhnyi pivprostir z urakhuvanniam neidealnoho teplovoho kontaktu. Visnyk TNTU. 2006. No. 3. P. 26–33. [Іn Ukrainian]. Okrepkyi B. S. Tysk tsylindrychnoho kruhovoho shtampa na pruzhnyi shar z urakhuvanniam neidealnoho teplovoho kontaktu. Visnyk TNTU. 2011. Vol. 16. No. 2. P. 42–52. [Іn Ukrainian]. Okrepkyi B. S. Osesymetrychna kontaktna zadacha termopruzhnosti pro tysk pruzhnoho tsylindra na pruzhnyi pivprostir z urakhuvanniam neidealnoho teplovoho kontaktu. Visnyk Ternopilskoho derzhavnoho tekhnichnoho universytetu. 2014. No. 2. P. 65–76. [Іn Ukrainian]. Podstrigach Ya. S. Usloviya teplovogo kontakta tverdyih tel. DAN USSR. Seriya A. 1963. No. 7. P. 188–192. [Іn Russian]. Podstrigach Ya. S. Temperaturnoe pole v sisteme tverdyih tel, soprikasaemyih s pomoschyu tonkogo promezhutochnogo sloya. IFZh. 1963. T. 6. No. 10. P. 129–136. [Іn Russian]. Kovalenko A. D. Osnovy termouprugosti. Kiev: Nauk.dumka, 1970. 304 p. [Іn Russian]. Okrepkyj B. S. Vyznachennja temperaturnogho polja v systemi til cylindr-pivprostir pry neidealjnomu teplovomu kontakti cherez promizhkovyj shar. Visnyk TNTU. 2013. No. 1. P. 253–262. [Іn Ukrainian]. Uitteker E. T. Kurs sovremennogo analiza. M.: Fizmat., 1963. 343 p. [Іn Russian].
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