We consider a fracture mechanics problem for heat-releasing isotropic material weakened by a doubly periodic system of identical cylindrical channels of circular cross section. It is considered that as the intensity of heat release increases in the material, its elastic properties become temperature dependent and failure of the material occurs. It is accepted that rectilinear cracks with bonds between the faces at the end zones originate from the surface of holes. The condition of limit equilibrium of a crack with end zone is formulated with regard to criterion of ultimate stretching of material’s bonds.
BrocksWCornecA (2003) The special issue: Cohesive models. Engineering Fracture Mechanics70: 1741–1987.
2.
CoxBNMarshallDB (1994) Concepts for bridged cracks in fracture and fatigue. Acta Metallurgica et Materialia42: 341–363.
3.
Fil’shtinskiiLA (1964) Problems of heat conduction and thermal elasticity for a plate attenuated by a biperiodic system of identical circular holes. Thermal Stresses in Structural Elements4: 103–112.
4.
GoldenblatIINikolaenkoNA (1962) Calculation of Temperature Stresses in Nuclear Reactors, Moscow: Gosatomizdat(in Russian).
5.
GrigolyukEIFil’shtinskyLA (1970) Perforated Plates and Shells, Moscow: Nauka(in Russian).
KhoramishadHAkbardoostJAyatollahiMR (2014) Size effects on parameters of cohesive zone model in mode I fracture of limestone. International Journal of Damage Mechanics23: 588–605.
8.
KimI-BRiC-SSoY-I (2016) A damage mechanics model of materials with voids and cracks. International Journal of Damage Mechanics25: 773–796.
9.
LadopoulosEG (2000) Singular Integral Equations: Linear and Non-linear Theory and its Applications in Science and Engineering, Berlin: Springer-Verlag.
10.
LomakinVA (1976) Theory of Elasticity of Inhomogeneous Solids, Moscow: Moscow State University(in Russian).
11.
MirsalimovVM (1984) Fracture of Elastic and Elastoplastic Bodies with Cracks, Baku: Elm(in Russian).
MirsalimovVM (2007) The limit equilibrium state of heat-emitting perforated medium in presence of crack with plastic end zones. Deformatsiya i Razrushenie Materialov32(4): 2–9.
14.
MirsalimovVM (2008) Modelling of partial closing of cracks in medium with emptiness. Matematicheskoe Modelirovanie20(2): 32–42.
15.
MirsalimovVM (2009) Cracks with bonds between faces in heat-releasing perforated material. Deformatsiya i Razrushenie Materialov33(3): 11–17.
16.
MirsalimovVM (2016) Simulation of partial closure of a variable width slot with interfacial bonds in end zones in an isotropic medium. International Journal of Damage Mechanics25: 266–279.
17.
MirsalimovVM (2017) Cracking in heat-releasing perforated material. Acta Mechanica228: 201–214.
18.
MirsalimovVMHasanovShG (2014) Modeling of crack nucleation in covering on an elastic base. International Journal of Damage Mechanics23: 430–450.
19.
MuskhelishviliNI (1977) Some Basic Problem of Mathematical Theory of Elasticity, Amsterdam: Kluwer Academic.
20.
MuskhelishviliNI (2008) Singular Integral Equation, Mineola, NY: Dover Publications.
21.
PanasyukVVSavrukMPDatsyshynAP (1976) The Stress Distribution around Cracks in Plates and Shells, Kiev: Naukova Dumka(in Russian).
22.
SobolevSLMukhinaGV (1958) Determination of thermal stresses in a medium with voids. Atomnaya Energiya5: 178–181.
23.
VoyiadjisGZKattanPI (2017) Mechanics of damage, healing, damageability, and integrity of materials: A conceptual framework. International Journal of Damage Mechanics26: 50–103.
