Geodesic
A continual model of damaged media for describing the creep failure process
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 161 (2019) no. 4, pp. 509-525

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The main laws of deformation and degradation processes of the initial strength properties of structural materials (metals and their alloys) according to the long-term strength mechanism were considered. From the viewpoint of the mechanics of damaged media (MDM), a mathematical model was created to describe inelastic deformation and damage accumulation during the creep process. An experimental and theoretical methodology for determining material parameters of the derived defining relations of MDM was developed. The material parameters and scalar functions of the MDM model, its reliability and the scope of its applicability were determined based on the analysis of the processes of deformation and failure of laboratory specimens in the conditions of soft loading (controlled stresses). The results of the experimental study of short-term creep of the VZh-159 heat-resistant alloy were presented. The process of deformation and damage accumulation was numerically analyzed; the obtained numerical results were compared with the data of the full-scale experiments. Comparison of the numerical and experimental data shows that the introduced defining relations of MDM adequately describe the response of materials in the conditions of degradation of the initial strength properties of structural materials according to the long-term strength mechanism.
Keywords: nonstationary creep, long-term strength, defining relations, mechanics of damaged media, temperature, damage, material parameter, numerical experiment, full-scale experiment.
Mots-clés : simulation 
@article{UZKU_2019_161_4_a2,
     author = {I. A. Volkov and L. A. Igumnov and S. Yu. Litvinchuk},
     title = {A continual model of damaged media for describing the creep failure process},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {509--525},
     publisher = {mathdoc},
     volume = {161},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2019_161_4_a2/}
}
TY  - JOUR
AU  - I. A. Volkov
AU  - L. A. Igumnov
AU  - S. Yu. Litvinchuk
TI  - A continual model of damaged media for describing the creep failure process
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2019
SP  - 509
EP  - 525
VL  - 161
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZKU_2019_161_4_a2/
LA  - ru
ID  - UZKU_2019_161_4_a2
ER  - 
%0 Journal Article
%A I. A. Volkov
%A L. A. Igumnov
%A S. Yu. Litvinchuk
%T A continual model of damaged media for describing the creep failure process
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2019
%P 509-525
%V 161
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZKU_2019_161_4_a2/
%G ru
%F UZKU_2019_161_4_a2
I. A. Volkov; L. A. Igumnov; S. Yu. Litvinchuk. A continual model of damaged media for describing the creep failure process. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 161 (2019) no. 4, pp. 509-525. http://geodesic.mathdoc.fr/item/UZKU_2019_161_4_a2/