nonhomogeneous elasto-plastic basic problems,
basic equations,
pure shear,
Trefftz and Neuber problems,
torsion with Sokolowski and Galin solutions and method,
plane strain,
Galin’s problem,
plane stress state,
spatial problem.
Biography
In 1959 Boris D. Annin graduated from the Moscow State University, in 1962 he completed his postgraduate studies in Institute of Hydrodynamics. He became a candidate of science in physics and mathematics (PhD) in 1963, doctor in physics and mathematics in 1971, corresponding member of RAS since 2000. Now he works in Lavrentyev Institute of Hydrodynamics (since 1962).
Boris D. Annin is a well-known scientist, specialized in mechanics of deformable solids. He has 100 publications (as author or contributing author), including 6 monographs. Annin is best known for his fundamental results in methods of solving of elasto-plastic problems development. He has offered a new approach to the solving of classical problem of elasto-plastic torsion that allowed proving the existence and uniqueness theorem for the solution for the arbitrary convex shape. Using the theory of variational inequalities he has created and realized the effective numerical algorithms for solving the contact elasto-plastic problems on the dynamic loading of the composite boards and the glancing collision of plates. The methods of solving plane elasto-plastic problems on the stress concentration near the holes have been developed and allowed to find the plastic deformation areas near the mine openings on the base of suggested exponential yield condition, which approximates the limit state of rock formations well.
B.D. Annin has developed the unconventional models of deformation and failure of dispersal reinforced composite media, constructed the valid approximate equations of multilayered bodies elastic deformation and explicated the methods for synthesis of composites with given thermoelastic and strength characteristics.
B.D. Annin initiated the application of the Lie-Ovsyannikov group method in the mechanics of deformable solids; constructed exact solutions of plasticity equations are of great academic and practical importance.
Boris D. Annin developed in partnership the complex loading apparatus with self-programming of the stress state. This construction allowed conducting the experiments on the investigation of properties of new materials (tensile strength ship steels and composites) and traditional materials under the complex loading.
B.D. Annin widely participates in the scientific researchers’ education in Novosibirsk State University during 45 years. He took an active part in creation the department of applied mathematics and mechanics. Now B.D. Annin fills the position of the head of department of mechanics of deformable solids. He took the research supervision of 29 candidates of science and 5 doctors of sciences.
Boris D. Annin is fully engaged in research and administration, he leads the Institution nonstructural section of mechanics of deformable solids consisting of three laboratories and holds a position of co-director of the leading scientific school “Inelastic deformation and failure of non-homogeneous media and constructions”. B.D. Annin is a member of editorial boards of “Prikladnaya Mekhanika i Tekhnicheskaya Fizika” (“Applied Mechanics and Technical Physics”) journal of the RAS Siberian branch, “Sibirskii Zhurnal Industrial'noi Matematiki” (“Journal of Applied and Industrial Mathematics”), “Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika” (Journal of Novosibirsk State University. Ser. Mathematics, Mechanics, Informatics), “Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki” (Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences). B.D. Annin is a member of Russian National Committee for Theoretical and Applied Mechanics, Research Board of Russian Academy of Sciences for the Mechanics of Deformable Solids, Commission for President Grants for the Young Russian Scientists and Support of the Scientific Schools. B.D. Annin fills the position of vice chairman of the doctoral dissertation committee and a member of scientific council of Novosibirsk State University.
B. D. Annin, S. I. Senashov, “Group properties of equations of solid deformation mechanics with nonlocal coefficients”, Prikl. Mekh. Tekh. Fiz., 66:4 (2025), 219–224
2023
2.
B. D. Annin, N. I. Ostrosablin, R. I. Ugryumov, “Defining equations of the anisotropic moment linear theory of elasticity and the two-dimensional problem of pure shear with constrained rotation”, Sib. Zh. Ind. Mat., 26:1 (2023), 5–19; J. Appl. Industr. Math., 17:1 (2023), 1–14
B. D. Annin, A. G. Kolpakov, S. I. Rakin, “Boundary layers on the upper/lower surfaces of reinforced plates”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:3 (2022), 391–404; Vestn. St. Petersbg. Univ., Math., 9:3 (2022), 391–404
B. D. Annin, N. I. Ostrosablin, R. I. Ugryumov, “Using eigenmoduli and eigenstates to evaluate the possibility of martensitic phase transformations”, Prikl. Mekh. Tekh. Fiz., 62:5 (2021), 5–14; J. Appl. Mech. Tech. Phys., 62:5 (2021), 707–716
2020
5.
B. D. Annin, Yu. A. Baimova, R. R. Mulyukov, “Mechanical properties, stability, and correction of graphene sheets and carbon nanotubes (review)”, Prikl. Mekh. Tekh. Fiz., 61:5 (2020), 175–189; J. Appl. Mech. Tech. Phys., 61:5 (2020), 834–846
E. V. Karpov, A. G. Malikov, A. M. Orishich, B. D. Annin, “Influence of thermal treatment on the destruction of a weld of an Al–Cu–Li aircraft alloy at different temperatures”, Prikl. Mekh. Tekh. Fiz., 61:1 (2020), 91–101; J. Appl. Mech. Tech. Phys., 61:1 (2020), 78–86
B. D. Annin, V. D. Bondar', S. I. Senashov, “Group analysis and exact solutions of the dynamic equations of plane strain of an incompressible nonlinearly elastic body”, Sib. Zh. Ind. Mat., 23:1 (2020), 11–15; J. Appl. Industr. Math., 14:1 (2020), 6–8
B. D. Annin, Yu. M. Volchkov, “Compact finite elements based on modified equations of the plate theory”, Mathematical notes of NEFU, 27:1 (2020), 6–20
2019
9.
Boris D. Annin, Vladimir M. Sadovskii, Igor E. Petrakov, Anton Yu. Vlasov, “Strong bending of a beam from a fibrous composite, differently resistant to tension and compression”, J. Sib. Fed. Univ. Math. Phys., 12:5 (2019), 533–542
B. D. Annin, N. I. Ostrosablin, “Presentation of the general solution of three-dimensional dynamic equations of a transversely isotropic thermoelastic medium”, Prikl. Mekh. Tekh. Fiz., 60:2 (2019), 47–57; J. Appl. Mech. Tech. Phys., 60:2 (2019), 224–233
2018
11.
E. V. Karpov, A. G. Malikov, A. M. Orishich, B. D. Annin, “Temperature effect on the fracture of laser welds of aviation aluminum alloys”, Prikl. Mekh. Tekh. Fiz., 59:5 (2018), 191–199; J. Appl. Mech. Tech. Phys., 59:5 (2018), 934–940
B. D. Annin, V. M. Fomin, E. V. Karpov, A. G. Malikov, A. M. Orishich, “Effect of Mg and Cu on mechanical properties of high-strength welded joints of aluminum alloys obtained by laser welding”, Prikl. Mekh. Tekh. Fiz., 58:5 (2017), 208–2017; J. Appl. Mech. Tech. Phys., 58:5 (2017), 939–946
K. G. Okhotkin, A. Yu. Vlasov, Yu. V. Zakharov, B. D. Annin, “Analytical modeling of the flexible rim of reflectors of space antennas”, Prikl. Mekh. Tekh. Fiz., 58:5 (2017), 190–200; J. Appl. Mech. Tech. Phys., 58:5 (2017), 924–932
B. D. Annin, Yu. M. Volchkov, “Nonclassical models of the theory of plates and shells”, Prikl. Mekh. Tekh. Fiz., 57:5 (2016), 5–14; J. Appl. Mech. Tech. Phys., 57:5 (2016), 769–776
B. D. Annin, N. I. Ostrosablin, “Reflection of plane waves from a rigid wall and a free surface in a transverse isotropic medium”, Sib. Zh. Ind. Mat., 19:1 (2016), 27–36; J. Appl. Industr. Math., 10:1 (2016), 29–36
B. D. Annin, V. M. Fomin, E. V. Karpov, A. G. Malikov, A. M. Orishich, A. N. Cherepanov, “Development of a technology for laser welding of the $1424$ aluminum alloy with a high strength of the welded joint”, Prikl. Mekh. Tekh. Fiz., 56:6 (2015), 14–21; J. Appl. Mech. Tech. Phys., 56:6 (2015), 945–950
B. D. Annin, N. I. Ostrosablin, “Anisotropy tensor of the potential model of steady creep”, Prikl. Mekh. Tekh. Fiz., 55:1 (2014), 5–12; J. Appl. Mech. Tech. Phys., 55:1 (2014), 1–7
2010
18.
B. D. Annin, A. I. Oleinikov, K. S. Bormotin, “Modeling of forming of wing panels of the SSJ-100 aircraft”, Prikl. Mekh. Tekh. Fiz., 51:4 (2010), 155–165; J. Appl. Mech. Tech. Phys., 51:4 (2010), 579–589
B. D. Annin, “A Transversally Isotropic Elastic Model of Geomaterials”, Sib. Zh. Ind. Mat., 12:3 (2009), 5–14; J. Appl. Industr. Math., 4:3 (2010), 299–308
B. D. Annin, N. I. Ostrosablin, “Anisotropy of elastic properties of materials”, Prikl. Mekh. Tekh. Fiz., 49:6 (2008), 131–151; J. Appl. Mech. Tech. Phys., 49:6 (2008), 998–1014
V. V. Alekhin, B. D. Annin, V. V. Ostapenko, “On a mechanical analogy in the ideal plasticity theory”, Prikl. Mekh. Tekh. Fiz., 49:4 (2008), 74–80; J. Appl. Mech. Tech. Phys., 49:4 (2008), 580–586
22.
B. D. Annin, S. N. Korobeinikov, A. V. Babichev, “Êîìïüþòåðíîå ìîäåëèðîâàíèå âûïó÷èâàíèÿ íàíîòðóáêè ïðè êðó÷åíèè”, Sib. Zh. Ind. Mat., 11:1 (2008), 3–22; J. Appl. Industr. Math., 3:3 (2009), 318–333
B. D. Annin, E. V. Karpov, “Modeling the deformation of rock with rough surfaces of block contact under quasistatic and dynamic loading conditions”, Prikl. Mekh. Tekh. Fiz., 48:3 (2007), 173–178; J. Appl. Mech. Tech. Phys., 48:3 (2007), 445–449
B. D. Annin, V. D. Bondar', “Antiplane strain in a nonlinearly elastic incompressible body”, Prikl. Mekh. Tekh. Fiz., 47:6 (2006), 93–101; J. Appl. Mech. Tech. Phys., 47:6 (2006), 849–856
A. E. Alekseev, B. D. Annin, “Equations of deformation of an elastic inhomogeneous laminated body of revolution”, Prikl. Mekh. Tekh. Fiz., 44:3 (2003), 157–163; J. Appl. Mech. Tech. Phys., 44:3 (2003), 432–437
A. E. Alekseev, V. V. Alekhin, B. D. Annin, “Plane elastic problem for an inhomogeneous layered body”, Prikl. Mekh. Tekh. Fiz., 42:6 (2001), 136–141; J. Appl. Mech. Tech. Phys., 42:6 (2001), 1038–1042
B. D. Annin, V. V. Alekhin, S. N. Korobeinikov, “Determination of the ultimate states of elastoplastic bodies”, Prikl. Mekh. Tekh. Fiz., 41:5 (2000), 196–204; J. Appl. Mech. Tech. Phys., 41:5 (2000), 937–944
1999
29.
B. D. Annin, “Theories of ideal plasticity with a singular yield surface”, Prikl. Mekh. Tekh. Fiz., 40:2 (1999), 181–188; J. Appl. Mech. Tech. Phys., 40:2 (1999), 347–353
B. D. Annin, S. N. Korobeinikov, “Admissible forms of elastic laws of deformation in the constitutive relations of elastoplasticity”, Sib. Zh. Ind. Mat., 1:1 (1998), 21–34
B. D. Annin, “Mechanics of solids at the Siberian division of the Russian Academy of Sciences in 1988–1997”, Prikl. Mekh. Tekh. Fiz., 38:4 (1997), 28–45; J. Appl. Mech. Tech. Phys., 38:4 (1997), 517–534
1996
33.
B. D. Annin, V. M. Sadovskiĭ, “The numerical realization of a variational inequality in the dynamics of elastoplastic bodies”, Zh. Vychisl. Mat. Mat. Fiz., 36:9 (1996), 177–191; Comput. Math. Math. Phys., 36:9 (1996), 1313–1324
B. D. Annin, A. G. Kolpakov, “Design of laminar and fibrous composites with given characteristics”, Prikl. Mekh. Tekh. Fiz., 31:2 (1990), 136–150; J. Appl. Mech. Tech. Phys., 31:2 (1990), 292–305
1989
35.
V. V. Alekhin, B. D. Annin, “Optimization of thermoelastic laminar bodies”, Prikl. Mekh. Tekh. Fiz., 30:2 (1989), 156–163; J. Appl. Mech. Tech. Phys., 30:2 (1989), 313–320
B. D. Annin, A. F. Revuzhenko, E. I. Shemyakin, “Deformed solid mechanics at the Siberian Branch, Academy of Sciences of the USSR”, Prikl. Mekh. Tekh. Fiz., 28:4 (1987), 66–86; J. Appl. Mech. Tech. Phys., 28:4 (1987), 531–549
B. D. Annin, “An exact solution of an axially symmetric problem of ideal plasticity”, Prikl. Mekh. Tekh. Fiz., 14:2 (1973), 171–172; J. Appl. Mech. Tech. Phys., 14:2 (1973), 291–292
B. D. Annin, “Elastic-plastic stress distribution in a plane with an aperture”, Dokl. Akad. Nauk SSSR, 184:2 (1969), 315–317
1966
39.
B. D. Annin, “A certain property of a solution of the equation $u_{xx}u_{yy}-u_{xy}^2=1$”, Dokl. Akad. Nauk SSSR, 168:3 (1966), 499–501
1963
40.
B. D. Annin, “Elasto-rigid-plastic torsion of a cylindrical rod of oval cross section”, Dokl. Akad. Nauk SSSR, 149:5 (1963), 1043–1046
1962
41.
B. D. Annin, Yu. M. Volchkov, “Îá îäíîì âîçìîæíîì ñëó÷àå ïîòåðè óñòîé÷èâîñòè ïëîñêîé ôîðìû èçãèáà ïðÿìîóãîëüíîé ïîëîñû”, Prikl. Mekh. Tekh. Fiz., 3:3 (1962), 88–89
1960
42.
B. D. Annin, “The Lagrange–Sylvester formula for tensor functions, depending on two tensors”, Dokl. Akad. Nauk SSSR, 133:4 (1960), 743–744
2015
43.
B. D. Annin, L. A. Igumnov, V. E. Nakoryakov, “Ê þáèëåþ àêàäåìèêà Ôåäîðà Ìèõàéëîâè÷à Ìèòåíêîâà”, Prikl. Mekh. Tekh. Fiz., 56:6 (2015), 3–4
2009
44.
B. D. Annin, “Errata: B. D. Anin “A Transversally Isotropic Elastic Model of Geomaterials” (Sib. JIM. 2009. V. 12, № 3(39). P. 5–14)”, Sib. Zh. Ind. Mat., 12:4 (2009), 152
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