Pure Bending for the Multimodulus Material Beam at Creep Conditions
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 6 (2013) no. 4, pp. 26-38
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The paper deals with the solution of pure bending of rectangular beam AK4-1T at constant temperature loaded constant bending moment. The research of construction for creep and long-term strength with the whole distribution pattern of stress until the beginning of destruction is considered. The numerical calculation of the problem is solved with the equations of the energy variant of the creep theory, as well as the solution continuation with respect to a parameter and the best parameterization, using three methods of numerical integration of ordinary differential equations: Euler method, Euler–Cauchy method and fourth-order Runge–Kutta method. The paper also considers the comparison of two methods for the solution of numerical results and a comparison of the numerical solutions with the experimental data as well.
Keywords:
creep; fracture; specific dissipation power; damage parameter; method of solution continuation with respect to a parameter; the best parameterization; the system of differential-algebraic equations.
@article{VYURU_2013_6_4_a2,
author = {E. B. Kuznetsov and S. S. Leonov},
title = {Pure {Bending} for the {Multimodulus} {Material} {Beam} at {Creep} {Conditions}},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
pages = {26--38},
publisher = {mathdoc},
volume = {6},
number = {4},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURU_2013_6_4_a2/}
}
TY - JOUR AU - E. B. Kuznetsov AU - S. S. Leonov TI - Pure Bending for the Multimodulus Material Beam at Creep Conditions JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie PY - 2013 SP - 26 EP - 38 VL - 6 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VYURU_2013_6_4_a2/ LA - ru ID - VYURU_2013_6_4_a2 ER -
%0 Journal Article %A E. B. Kuznetsov %A S. S. Leonov %T Pure Bending for the Multimodulus Material Beam at Creep Conditions %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie %D 2013 %P 26-38 %V 6 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VYURU_2013_6_4_a2/ %G ru %F VYURU_2013_6_4_a2
E. B. Kuznetsov; S. S. Leonov. Pure Bending for the Multimodulus Material Beam at Creep Conditions. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 6 (2013) no. 4, pp. 26-38. http://geodesic.mathdoc.fr/item/VYURU_2013_6_4_a2/