Surface microcrack development in a solid glass cylinder during its thermal resistance test

Аuthors

Kirichek V. A.

Taganrog institute named after A.P. Chekhov (Branch of the Rostov State University of Economics), Initsiativnaya str., 48, Taganrog, 347936, Russia

e-mail: Zhornik_Victoria@mail.ru

Abstract

The development of a surface microdefect in a continuous glass cylinder of unlimited length during its cooling is considered. The microdefect is modeled by a flat transverse microcrack of semicircular shape with a diameter located on the load-free surface of the cylinder and a semicircular contour extending deep into the cylinder.

Keywords:

solid cylinder, semicircular microcrack, thermal resistance, thermal stresses, stress intensity factor

References

1. Udalov A.S., Zvyagin A.V. Modelirovanie tel s treshhinami pri mexanicheskix i teplovy’x vozdejstviyax [Modelling of bodies with cracks under mechanical and thermal effects]. XIII Vserossijskij s’ezd po teoreticheskoj i prikladnoj mexanike. Sb. tezisov dokladov. Vol. 3. St. Petersburg, 2023, pp. 718–720.
2. Paushkin A.G. K voprosu ob obrazovanii temperaturny’x treshhin v kirpichny’x stenax [On the formation of temperature cracks in brick walls]. Vestnik MGSU, 2010, no. 4, pp. 173–176.
3. Kirichek V.A. Thermal stability of solid inorganic glass cylinders. Thermal processes in engineering, 2022, vol. 14, no. 2, pp. 85–96.
4. Kirichek V.A. Development of a surface annular crack in a solid cylinder under thermal action. Thermal processes in engineering, 2022, vol. 14, no. 5, pp. 195–208.
5. Zhornik A.I. Polya temperatur i napryazhenij, voznikayushhix v tverdyx telax cilindricheskoj formy pri teplovyx nestacionarnyx vozdejstviyax. Dis. kand. fiz.- mat. nauk [Temperature and stress fields arising in cylindrical solid bodies under thermal unsteady actions]. Moscow, 1972, 201 p.
6. Kutateladze S.S. Osnovy teorii teploobmena [Fundamentals of heat transfer theory]. Novosibirsk: Nauka, 1970, 659 p.
7. Mixeev M.A. Osnovy teploperedachi [Fundamentals of heat transfer]. Moscow: Gosenergoizdat, 1956.
8. Lykov A.V. Teoriya teploprovodnosti [Theory of heat conduction]. Moscow: Vysshaya shkola, 1967, 599 p.
9. Kartashov E.M. Analiticheskie metody v teorii teploprovodnosti tverdyx tel. Moscow: Vysshaya shkola, 1985, 480 p.
10. Smith F.W., Emery A.F., Kobajashi A.S. Stress intensity factors for semicircular crack. Trans. ASME, ser. E.J. Appl. Mech, 1967, vol. 34, no. 4, pp. 953–958.
11. Cherepanov G.P. Mexanika xrupkogo razrusheniya [Brittle fracture mechanics]. Moscow: Nauka, 1974. 640 p.