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, 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

2019

2.

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

2016

3.

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

2009

4.

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

2008

5.

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

2004

6.

B. D. Annin, S. N. Korobeinikov, “Generalized conjugate stress and strain tensors”, Sib. Zh. Ind. Mat., 7:3 (2004), 21–43

1999

7.

B. D. Annin, “Elastoplastic deformation models of transversally isotropic materials”, Sib. Zh. Ind. Mat., 2:2 (1999), 3–7

1998

8.

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

1996

9.

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

1969

10.

B. D. Annin, “Elastic-plastic stress distribution in a plane with an aperture”, Dokl. Akad. Nauk SSSR, 184:2 (1969), 315–317

1966

11.

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

12.

B. D. Annin, “Elasto-rigid-plastic torsion of a cylindrical rod of oval cross section”, Dokl. Akad. Nauk SSSR, 149:5 (1963), 1043–1046

1960

13.

B. D. Annin, “The Lagrange–Sylvester formula for tensor functions, depending on two tensors”, Dokl. Akad. Nauk SSSR, 133:4 (1960), 743–744

2009

14.

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