Geodesic
Numerical and experimental research of pure bending of beams made of the titanium ABVT-20 alloy
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 22 (2018) no. 3, pp. 430-446

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Solution of the problem of pure bending of a beam of rectangular cross section taking into account the difference of properties tension and compression under creep is considered. Program algorithm of mathematical simulation of the stress redistribution process along the height of a beam with allowance for damage accumulation is constructed and implemented. Modeling of creep processes of softening material is based on equations of the kinetic theory of creep and damage. In this paper, Runge–Kutta–Merson numerical integration algorithm for creep damage analysis is presented. The simulation results are compared with the experimental data of pure bending of rectangular section beams from the titanium ABVT-20 alloy under the action of an alternating moment and a prolonged exposure to temperature of 750$^\circ$C. A satisfactory agreement between the simulation results and the experimental data was obtained, taking into account the duration of the temperature aging in the creep law.
Keywords: high temperature creep, different resistivity, pure bending, experimental studies, modeling, ABVT-20 alloy. 
@article{VSGTU_2018_22_3_a2,
     author = {S. V. Iyavoynen and A. U. Larichkin and V. E. Kolodezev},
     title = {Numerical and experimental research of pure bending of beams made of  the titanium {ABVT-20} alloy},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {430--446},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2018_22_3_a2/}
}
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S. V. Iyavoynen; A. U. Larichkin; V. E. Kolodezev. Numerical and experimental research of pure bending of beams made of  the titanium ABVT-20 alloy. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 22 (2018) no. 3, pp. 430-446. http://geodesic.mathdoc.fr/item/VSGTU_2018_22_3_a2/