Mechanics of deformable solids, Fluid mechanics, Partial differential equations
A.A. Burenin is a recognized expert in the mechanics of deformable media. The theory of finite elastoplastic deformations proposed by him is based on a new approach to the definition of reversible and irreversible deformations, when the decomposition of total deformations into elastic and plastic ones is not made using algebraic relations, but using differential transfer equations.
A.A. Burenin is a member of two doctoral dissertation committees, a member of the editorial board of the journals "Far Eastern Mathematical Journal" of the Russian Academy of Sciences, "Journal of Samara State Technical University. Series: Physical and Mathematical Sciences", an expert of the Russian Foundation for Basic Research in Mechanics, a member of the National Committee of the Russian Federation on Theoretical and Applied Mechanics.
A. A. Burenin, V. Kaing, A. V. Tkacheva, “To the calculation of plane stressed states of the theory of unsteady temperature stresses in elastoplastic bodies”, Dal'nevost. Mat. Zh., 18:2 (2018), 131–146
A. A. Burenin, A. V. Tkacheva, G. A. Scherbatyuk, “The use of piecewise linear plastic potentials in the nonstationary theory of temperature stresses”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 22:1 (2018), 23–39
S. V. Belykh, A. A. Burenin, L. V. Kovtanyuk, A. N. Prokudin, “On account of viscous properties of materials in the theory of large elastoplastic strains”, Chebyshevskii Sb., 18:3 (2017), 108–130
A. A. Burenin, E. P. Dats, A. V. Tkacheva, “On the modeling of the shrink fit technology”, Sib. Zh. Ind. Mat., 17:3 (2014), 40–47; J. Appl. Industr. Math., 8:4 (2014), 493–499
A. A. Burenin, L. V. Kovtanjuk, I. A. Terletskiy, “To the Formation of Residual Stress Field in the Vicinity of a Spherical Cavity Viscoelastoplastic Material”, Dal'nevost. Mat. Zh., 12:2 (2012), 146–159
A. A. Burenin, L. V. Kovtanyuk, A. S. Ustinova, “Viscometric flow of an incompressible elastoviscoplastic material in the presence of lubricant on the boundary surfaces”, Sib. Zh. Ind. Mat., 15:2 (2012), 43–55; J. Appl. Industr. Math., 6:4 (2012), 431–442
A. A. Burenin, O. V. Dudko, A. A. Lapteva, “About the laws of propagation of shape deformations”, Sib. Zh. Ind. Mat., 14:4 (2011), 14–23
A. A. Burenin, V. E. Ragozina, Yu. E. Ivanova, “The evolutionary equation for wave processes of the shift deformation”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 9:4(2) (2009), 14–24
A. A. Burenin, L. V. Kovtanjuk, “Упругие эффекты при развитии вязкопластических течений и их торможении”, Matem. Mod. Kraev. Zadachi, 1 (2008), 69–71
A. A. Burenin, E. V. Obukhova, “Transport of an incompressible fluid admixture at the registration of its(her) diffusion in the basic stream”, Dal'nevost. Mat. Zh., 4:1 (2003), 101–107
A. A. Burenin, V. M. Yarushina, “Plane stress state in the conditions of nonlinear unsteady creeping”, Dal'nevost. Mat. Zh., 3:1 (2002), 64–78