Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {Pure {Bending} for the {Multimodulus} {Material} {Beam} at {Creep} {Conditions}},
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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/

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