Geodesic
Solution of the boundary-value problem of torsion for solid and hollow cylindrical specimens
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 21 (2017) no. 3, pp. 507-523

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We have developed a method for solving the boundary-value problem of torsion for solid and hollow cylindrical specimens under steady-state creep conditions. The definition of rheological model is carried out with experimental stationary creep curves under uniaxial tension in accordance with the modified method of least squares. Comparison of calculated characteristics of the stress-state with corresponding test data was made for short-time creep of cylindrical specimens made of the Steel 45 or AMG-6M alloy. The dependencies for strain intensity at the characteristic point and torsion angle on time are obtained and compared with the data calculated by the method of characteristic point. The estimates of errors of deviation of calculated data from experimental values are given and there is good-enough correspondence between the experimental and calculated data. The calculated diagrams for shear stress along the radius at different time points are obtained during torsion for both solid and hollow cylinders.
Keywords: boundary-value problem, cylindrical specimen, steady-state creep, numerical method.
Mots-clés : tension, torsion 
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     author = {V. V. Tsvetkov},
     title = {Solution of the boundary-value problem of torsion for solid and hollow cylindrical specimens},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {507--523},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2017_21_3_a7/}
}
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V. V. Tsvetkov. Solution of the boundary-value problem of torsion for solid and hollow cylindrical specimens. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 21 (2017) no. 3, pp. 507-523. http://geodesic.mathdoc.fr/item/VSGTU_2017_21_3_a7/