Journal of Theoretical
and Applied Mechanics
0, 0, pp. , Warsaw 0

The thermoelastic state of a bi-material with an open gas-filled interface crack

Kristina Serednytska, Rostyslav Martynyak, Kostyantyn Chumak
The thermoelastic behavior of a bi-material with a gas-filled interface crack is investigated. The bi-material is subjected to a uniform tensile load and a uniform heat flow. The gas exerts pressure on the crack surfaces and offers thermal resistance proportional to the crack opening. The gas state is assumed to be described by the ideal gas law. The effects of the gas mass, gas thermal conductivity and heat flux on the crack opening, interface temperature jump, gas pressure and stress intensity factors are analyzed. It is revealed that a bi-material with a heat-conducting crack exhibits the heat flow directional effect.
Keywords: bi-material, interface crack, ideal gas, pressure, thermal resistance

References


Alekseev A.D., Revva V.N., Volodarskiy Ye.V., Yurchenko V.М., 1992, Discharge of gas from solid solution into the volume and on the surface of pores and cracks (in Russian), Physics and High Pressure Technology, 2, 4, 83-92

Andreikiv O.Ye., Hembara O.V., 2008, Fracture mechanics and durability of metal materials in hydrogenous media (in Ukrainian), Naukova Dumka, Kyiv

Balueva A.V., Goldstein R.V, 1995, Method for calculating the kinetics of cracks in a medium with volume gas emission (in Russian), Izvestiya RAN. Mekhanika Tverdogo Tela, 3, 149-159

Chumak K., Martynyak R., 2012, Thermal rectification between two thermoelastic solids with a periodic array of rough zones at the interface, International Journal of Heat and Mass Transfer, 55, 21-22, 5603-5608

Dundurs J., 1974, Distortion of a body caused by free thermal expansion, Mechanics Research Communications, 1, 3, 121-124

Evtushenko A.A., Sulim G.T., 1981, Stress concentration near a cavity filled with a liquid, Materials Science, 16, 6, 546-549

Feraille-Fresnet A., Bui H.-D., Ehrlacher A., 2003, Hydrostatic interaction of a wetting fluid and a circular crack in an elastic material, Mechanics of Materials, 35, 3-6, 581–586

Gabdulkhaev B.G., 1994, The direct methods for solving the singular integral equations of the first kind (in Russian), Izd. Kazanskogo Universiteta, Kazan

Goldstein R.V., Kit H.S., Martynyak R.M., Serednytska Kh.I., 2014, Effect of partial closure of an interface crack with heat-conducting filler and surface films in the case of thermal loading of a bimaterial, Journal of Mathematical Sciences, 198, 1, 75-86

Johnson K.L., 1985, Contact Mechanics, Cambridge University Press, Cambridge

Kaczyński A., Monastyrskyy B., 2004, On the problem of some interface defect filled with a compressible fluid in a periodic stratified medium, Journal of Theoretical and Applied Mechanics, 42, 1, 41-57

Li X.-F., Lee K.Y., 2015, Effect of heat conduction of penny-shaped crack interior on thermal stress intensity factors, International Journal of Heat and Mass Transfer, 91, 127-134

Martynyak R.M., Chumak K.A., 2009, Thermoelastic delamination of bodies in the presence of a heat-conducting filler of the intercontact gap, Materials Science, 45, 4, 513-522

Martynyak R.M., Honchar Kh.I., 2005, Thermoelastic deformation of a bimaterial with an interface defect filled with heat-conducting substance (in Russian), Teoreticheskaya i Prikladnaya Mechanika, 41, 58-62

Martynyak R.M., Serednytska Kh.I., 2017, Contact problems of thermoelasticity for interface cracks in bimaterials, Publishing House «Rastr-7», Lviv, Ukraine

Matczyński M., Martynyak R., Kryshtafovych A., 1999, Contact problem of a crack filled with heat-conducting gas, Thermal Stresses '99: proceedings of the 3rd International Symposium on Thermal Stresses, 127-130

Monastyrskyy B., Kaczyński A., 2007, The elasticity problem for a stratified semi-infinite medium containing a penny-shaped crack filled with a gas, Acta Mechanica et Automatica, 1, 1, 63-66

Podstrigach Y.S., Kit G.S., 1967, Determination of temperature fields and stresses in the vicinity of heat-conducting cracks (in Russian), Termicheskie Napryazheniya v Elementakh Konstruktsiy, 7, 194-201

Podstrigach Y.S., 1963, A temperature field in the system of solids conjugated by a thin interstitial layer, Journal of Engineering Physics, 6, 10, 129-136

Shvets R.M., Martynyak R.M., 1985, Integral equations of the contact problem of thermoelasticity for rough bodies (in Ukrainian), Dopovidi AN URSR. Seriya А., 11, 37-40

Roberts NA, and Walker DG., 2011, A review of thermal rectification observations and models in solid materials, International Journal of Thermal Sciences, 50, 648–662

Zhong X.-C., Lee K.Y., 2012, A thermal-medium crack model, Mechanics of Materials, 51, 110-117

Zhong X.-C., Wu B., 2012, Thermoelastic analysis for an opening crack in an orthotropic material, International Journal of Fracture, 173, 1, 49-55