Abstract
The stress-strain state around the end of a crack ¦x¦′<ι, y=0 in the elastic plane (x, y) is considered for arbitrary given loads acting on the periphery of the crack and constant load at infinity. At the same time, there is a plane thermalstress state due to a steady heat flux parallel to the considered plane. An analytical expression is found for the stress-intensity coefficients in the given conditions, generalizing the case previously considered. A series of examples is given on the calculation of the intensity coefficients of purely temperature stresses in specific conditions of the thermal state of the elastic body. The results obtained may be used in constructing a theory of the time dependence of the strength in the gross failure of polymer materials.
Similar content being viewed by others
Literature cited
V. V. Panasyuk, M. P. Savruk, and A. P. Datsishin, Stress Distribution around Cracks in Plates and Shells [in Russian], Naukova Dumka, Kiev (1976), p. 443.
I. A. Prusov, Some Thermoelasticity Problems [in Russian], Beloruss. Gos. Univ., Minsk (1972), p. 199.
N. I. Muskhelishvili, Some Fundamental Problems of Mathematical Elasticity Theory [in Russian], Nauka, Moscow (1966), p. 707.
Si, Paris, and Erdogan, “Stress-concentration coefficients at the end of a crack in plane tension and flexure of a plate,” Prikl. Mekh.,29, No. 2, 101–106 (1962).
É. M. Kartashov, “Method of integral transformation in analytic heat-conduction theory,” Izv. Akad. Nauk SSSR, Ser. Energ. Transport, No. 5, 85–105 (1976).
G. N. Polozhin, Equations of Mathematical Physics [in Russian], Vysshaya Shkola, Moscow (1964), p. 560.
E. Titchmarsh, Introduction to Theory of Fourier Integrals, Oxford University Press.
Si, “Heat conduction in an infinite medium with discontinuous conditions at lines,” Teploperedacha,87, No. 2, 157–162 (1965).
É. M. Kartashov, “Time dependence of the strength of solids in gross failure,” Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2, 30–37 (1978).
Si, “Singular character of temperature stress at the end of a crack,” Prikl. Mekh.,29, No. 3, 157–159 (1962).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 7–13, March, 1979.
Rights and permissions
About this article
Cite this article
Kartashov, É.M. Stress-intensity coefficients in an infinite plate with a crack in a nonuniform steady field. Soviet Physics Journal 22, 227–231 (1979). https://doi.org/10.1007/BF00889850
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00889850