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Ostrosablin Nikolai Il'ich

Publications in Math-Net.Ru

  1. 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
  2. Uniqueness of the solution of boundary value problems of static equations of elasticity theory with an asymmetric matrix of elastic modules

    Sib. Zh. Ind. Mat., 25:4 (2022),  107–115
  3. Using eigenmoduli and eigenstates to evaluate the possibility of martensitic phase transformations

    Prikl. Mekh. Tekh. Fiz., 62:5 (2021),  5–14
  4. A parametrization of the general Lorentz group

    Sib. Zh. Ind. Mat., 23:4 (2020),  114–125
  5. 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
  6. Transversely isotropic tensor closest in euclidean norm to a given anisotropic elastic modulus tensor

    Prikl. Mekh. Tekh. Fiz., 60:1 (2019),  124–141
  7. General solution for two-dimensional system of static Lame's equations with an asymmetric elasticity matrix

    Sib. Zh. Ind. Mat., 21:1 (2018),  61–71
  8. Symmetry classes of anisotropy tensors of quasielastic materials and the generalized Kelvin approach

    Prikl. Mekh. Tekh. Fiz., 58:3 (2017),  108–129
  9. Extreme conditions of elastic constants and principal axes of anisotropy

    Prikl. Mekh. Tekh. Fiz., 57:4 (2016),  192–210
  10. 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
  11. Anisotropy tensor of the potential model of steady creep

    Prikl. Mekh. Tekh. Fiz., 55:1 (2014),  5–12
  12. On one model of anisotropic creep of materials

    Sib. Zh. Ind. Mat., 17:1 (2014),  114–119
  13. Diagonalization of a three-dimensional system of equations in terms of displacements of the linear theory of elasticity of transversely isotropic media

    Prikl. Mekh. Tekh. Fiz., 54:6 (2013),  125–145
  14. Diagonalization of the system of Lamé static equations of linear isotropic elasticity

    Sib. Zh. Ind. Mat., 15:3 (2012),  87–98
  15. Limit criteria and a model for inelastic deformation of anisotropic media

    Prikl. Mekh. Tekh. Fiz., 52:6 (2011),  165–176
  16. Canonical moduli and general solution of equations of a two-dimensional static problem of anisotropic elasticity

    Prikl. Mekh. Tekh. Fiz., 51:3 (2010),  94–106
  17. Общее решение и приведение системы уравнений линейной изотропной упругости к диагональному виду

    Sib. Zh. Ind. Mat., 12:2 (2009),  79–83
  18. Anisotropy of elastic properties of materials

    Prikl. Mekh. Tekh. Fiz., 49:6 (2008),  131–151
  19. Functional relation between two symmetric second-rank tensors

    Prikl. Mekh. Tekh. Fiz., 48:5 (2007),  134–137
  20. Affine transformations of the equations of the linear theory of elasticity

    Prikl. Mekh. Tekh. Fiz., 47:4 (2006),  124–134
  21. Purely transverse waves in elastic anisotropic media

    Prikl. Mekh. Tekh. Fiz., 46:1 (2005),  160–172
  22. Elastic anisotropic material with purely longitudinal and transverse waves

    Prikl. Mekh. Tekh. Fiz., 44:2 (2003),  143–151
  23. Comments on the publication “Compatibility conditions of small deformations and stress functions”

    Prikl. Mekh. Tekh. Fiz., 40:3 (1999),  216
  24. Stress and displacement functions for the equation of motion of a continuum

    Sib. Zh. Ind. Mat., 2:1 (1999),  123–138
  25. On invariants of a fourth-rank tensor of elasticity moduli

    Sib. Zh. Ind. Mat., 1:1 (1998),  155–163
  26. Compatibility conditions of small deformations and stress functions

    Prikl. Mekh. Tekh. Fiz., 38:5 (1997),  136–146
  27. Symmetry operators and general solutions of the equations of the linear theory of elasticity

    Prikl. Mekh. Tekh. Fiz., 36:5 (1995),  98–104
  28. Eigenoperators and eigenvectors for a system of differential equations in the linear theory of elasticity of anisotropic materials

    Dokl. Akad. Nauk, 337:5 (1994),  608–610
  29. Equations of the linear theory of elasticity of anisotropic materials, reduced to three independent wave equations

    Prikl. Mekh. Tekh. Fiz., 35:6 (1994),  143–150
  30. General solutions and reduction of a system of equations of the linear theory of elasticity to diagonal form

    Prikl. Mekh. Tekh. Fiz., 34:5 (1993),  112–122
  31. General solutions and symmetries of equations of the linear theory of elasticity

    Dokl. Akad. Nauk, 322:3 (1992),  513–515
  32. Equations of the linear theory of elasticity

    Prikl. Mekh. Tekh. Fiz., 33:3 (1992),  131–140
  33. The most restrictive bounds on change in the applied elastic constants for anisotropic materials

    Prikl. Mekh. Tekh. Fiz., 33:1 (1992),  107–114
  34. On the matrix of coefficients in equations of the linear theory of elasticity

    Dokl. Akad. Nauk SSSR, 321:1 (1991),  63–65
  35. Plastic zone around a round hole in a plane with a nonuniform basic stressed state

    Prikl. Mekh. Tekh. Fiz., 31:5 (1990),  124–131
  36. On the structure of the elastic tensor and the classification of anisotropic materials

    Prikl. Mekh. Tekh. Fiz., 27:4 (1986),  127–135
  37. Equal-strength hole in a plate in an inhomogeneous stress state

    Prikl. Mekh. Tekh. Fiz., 22:2 (1981),  155–163


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