Cracks with interfacial bonds in perforated heat-releasing nuclear fuel

Abstract

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.

Keywords

Heat-releasing perforated material bridged cracks temperature dependence of material’s elastic properties cohesive forces end prefracture zones

Get full access to this article

View all access options for this article.

References

Brocks

Cornec

(2003) The special issue: Cohesive models. Engineering Fracture Mechanics 70: 1741–1987.

Cox

Marshall

(1994) Concepts for bridged cracks in fracture and fatigue. Acta Metallurgica et Materialia 42: 341–363.

Fil’shtinskii

(1964) Problems of heat conduction and thermal elasticity for a plate attenuated by a biperiodic system of identical circular holes. Thermal Stresses in Structural Elements 4: 103–112.

Goldenblat

Nikolaenko

(1962) Calculation of Temperature Stresses in Nuclear Reactors, Moscow: Gosatomizdat(in Russian).

Grigolyuk

Fil’shtinsky

(1970) Perforated Plates and Shells, Moscow: Nauka(in Russian).

Il’yushin

(2003) Plasticity, Moscow: Logos(in Russian).

Khoramishad

Akbardoost

Ayatollahi

(2014) Size effects on parameters of cohesive zone model in mode I fracture of limestone. International Journal of Damage Mechanics 23: 588–605.

Kim

I-B

C-S

Y-I

(2016) A damage mechanics model of materials with voids and cracks. International Journal of Damage Mechanics 25: 773–796.

Ladopoulos

(2000) Singular Integral Equations: Linear and Non-linear Theory and its Applications in Science and Engineering, Berlin: Springer-Verlag.

10.

Lomakin

(1976) Theory of Elasticity of Inhomogeneous Solids, Moscow: Moscow State University(in Russian).

11.

Mirsalimov

(1984) Fracture of Elastic and Elastoplastic Bodies with Cracks, Baku: Elm(in Russian).

12.

Mirsalimov

(1987) Non-one-dimensional Elastoplastic Problems, Moscow: Nauka(in Russian).

13.

Mirsalimov

(2007) The limit equilibrium state of heat-emitting perforated medium in presence of crack with plastic end zones. Deformatsiya i Razrushenie Materialov 32(4): 2–9.

14.

Mirsalimov

(2008) Modelling of partial closing of cracks in medium with emptiness. Matematicheskoe Modelirovanie 20(2): 32–42.

15.

Mirsalimov

(2009) Cracks with bonds between faces in heat-releasing perforated material. Deformatsiya i Razrushenie Materialov 33(3): 11–17.

16.

Mirsalimov

(2016) Simulation of partial closure of a variable width slot with interfacial bonds in end zones in an isotropic medium. International Journal of Damage Mechanics 25: 266–279.

17.

Mirsalimov

(2017) Cracking in heat-releasing perforated material. Acta Mechanica 228: 201–214.

18.

Mirsalimov

Hasanov

ShG

(2014) Modeling of crack nucleation in covering on an elastic base. International Journal of Damage Mechanics 23: 430–450.

19.

Muskhelishvili

(1977) Some Basic Problem of Mathematical Theory of Elasticity, Amsterdam: Kluwer Academic.

20.

Muskhelishvili

(2008) Singular Integral Equation, Mineola, NY: Dover Publications.

21.

Panasyuk

Savruk

Datsyshyn

(1976) The Stress Distribution around Cracks in Plates and Shells, Kiev: Naukova Dumka(in Russian).

22.

Sobolev

Mukhina

(1958) Determination of thermal stresses in a medium with voids. Atomnaya Energiya 5: 178–181.

23.

Voyiadjis

Kattan

(2017) Mechanics of damage, healing, damageability, and integrity of materials: A conceptual framework. International Journal of Damage Mechanics 26: 50–103.