Abstract
This paper considers local temperature variations near the tip of a crack in the presence of regions in which the crack faces interact. It is assumed that these regions are adjacent to the crack tip and are comparable in size to the crack size. The problem of local temperature variations consists of delay or retardation of crack growth. For a crack with connections between the crack faces subjected to external tensile loads, an induced thermoelastic stress field, and the stresses at the connections preventing crack opening, the boundary-value problem of the equilibrium of the crack reduces to a system of nonlinear singular integrodifferential equations with a Cauchy kernel. The normal and tangential stresses at the connections are found by solving this system of equations. The stress intensity factors are calculated. The energy characteristics of cracks with tip regions are considered. The limiting equilibrium condition for cracks with tip regions is formulated using the criterion of limiting stretching of the connections.
Similar content being viewed by others
REFERENCES
V. M. Finkel’ (1977) Physical Foundations of Fracture Retardation Metallurgiya Moscow
V. Z. Parton amd E. M. Morozov (1985) Elastoplastic Fracture Mechanics Nauka Moscow
R. I. Kadiev V. M. Mirsalimov (2001) ArticleTitleEffect of a heat source on the dynamics of crack growth Vest. Gos. Dag. Univ 4 69–73
V. D. Gadzhiev and V. M. Mirsalimov, “Limiting equilibrium state of a sleeve-type element in the presence of cracks with connections between the faces,” in: Optimal Design of Mechanical Systems [in Russian], Elm, Baku (1999), pp. 50–63.
R. V. Gol’dshtein M. N. Perel’muter (2001) ArticleTitleCrack on a junction boundary of materials with connections between the faces Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 1 94–112
N. I. Muskhelishvili (1975) Some Basic Problems of the Mathematical Theory of Elasticity Noordhoff Leyden
F. D. Gakhov (1977) Boundary-Value Problems Nauka Moscow
A. A. Il’yushin (1948) Plasticity Gostekhteoretizdat Moscow-Leningrad
G. P. Cherepanov (1974) Brittle Fracture Mechanics Nauka Moscow
I. A. Birger (1975) General algorithms of solving elastic, plastic, and creep problems Successes of the Mechanics of Deformable Media Nauka Moscow 51–73
G. I. Barenblatt (1961) ArticleTitleMathematical theory of equilibrium cracks brittle fracture Prikl. Mekh. Tekh. Fiz 4 3–56
R. V. Gol’dshtein M. N. Perel’muter (2003) Crack growth on a junction boundary of materials Problems of Mechanics Fizmatlit Moscow
Author information
Authors and Affiliations
Additional information
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 1, pp. 133–143, January–February, 2005
Rights and permissions
About this article
Cite this article
Kadiev, R.I., Mirsalimov, V.M. Retardation of a crack with connections between the faces using an induced thermplastic stress field. J Appl Mech Tech Phys 46, 108–116 (2005). https://doi.org/10.1007/s10808-005-0015-7
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s10808-005-0015-7