Correctness of the radiation creep equations that involve the stress and accumulated irreversible deformation in the model of radiation swelling of an irradiated material

Authors

DOI:

https://doi.org/10.15407/dopovidi2021.04.036

Keywords:

stressed state, stress and strain deviators, inelastic deformation, radiation swelling, radiation creep

Abstract

The results of the correctness analysis of the determining equations of radiation creep are presented, which allow one to describe the non-isothermal processes of inelastic deformation with regard for the radiation swelling and radiation creep of a material under conditions of neutron irradiation, high temperatures, and damaging dose. Modern models of radiation swelling and radiation creep are considered, which involve the damaging dose, irradiation temperature and the influence of a stress and an accumulated irreversible deformation on the processes of radiation swelling and radiation creep of the material. Based on the general results of the analysis of the properties of nonlinear operators, the conditions that ensure the correctness of the formulated equations of radiation creep are determined. According to the results of the analysis, it is established that the consideration of the accumulated irreversible deformation in the model of compressed swelling helps one to relax the restrictions on a possible swelling of the material and the initial data that ensure the correctness of the determining equations of radiation creep.

References

Sorokin, A., Margolin, B. & Kursevich, I. (2011). Effect of neutron irradiation on mechanical properties of materials of WWER reactor internals. Issues of Materials Science. 2(66), 131-151 (in Russian).

Margolin, B., Murashova, A. & Neustroiev, V. (2012). Analysis of the Influence of Type Stress State on Radiation Swelling and Radiation Creep of Austenitic Steels. Strength of Materials, 44, pp. 227-240. https:// doi.org/10.1007/s11223-012-9376-3

Chirkov, O. Yu. (2020). Radiation Creep in Problems of Mechanics of Inelastic Dformation of Materials and Structural Elements. Kyiv: G. Pisarenko Institute for Problems of Strength, NAS of Ukraine (in Ukrainion).

Chirkov, A.Yu. (2020). On the Correctness of the Well-Known Mathematical Model of Irradiation-Induced Swelling with the Influence of Stresses in the Problems of Elastic-Plastic Deformation Mechanics, Strength of Materials, 52, pp. 183-198. https://doi.org/ 10.1007/s11223-020-00165-y

Chirkov, O.Yu. Analysis of the correctness of problems in the mechanics of inelastic deformation with the influence of stress state on the processes of radiation swelling and radiation creep of the material. Dopov. Nac. akad. nauk Ukr. 2021, 2:29-37 (in Ukrainian). https://doi.org/10/15407/dopovidi2021.02.029

Ortega J.M., Rheinboldt W.C. Iterative Solution if Nonlinear Equations in Several Variables. New York; London: Academic Press. 1970.

Published

26.08.2021

How to Cite

Chirkov О. Ю. (2021). Correctness of the radiation creep equations that involve the stress and accumulated irreversible deformation in the model of radiation swelling of an irradiated material. Reports of the National Academy of Sciences of Ukraine, (4), 36–45. https://doi.org/10.15407/dopovidi2021.04.036