1. Article › Research › Peer-reviewed
  2. A Comparative Analysis of Two Approaches to Nonlocal Ductile Damage Modeling

    Klyuchantsev, V. S. & Shutov, A. V., Dec 2022, In: Journal of Engineering Physics and Thermophysics. 95, 7, p. 1634-1646 13 p.

    Research output: Contribution to journalArticlepeer-review

  3. A Mini-Frac Analysis Using a Direct Hydraulic Fracture Simulation via the Fully-Coupled Planar 3D Model

    Baykin, A. N., Lgotina, E. V., Shel, E. V. & Paderin, G. V., Sept 2021, In: Rock Mechanics and Rock Engineering. 54, 9, p. 4455-4482 28 p.

    Research output: Contribution to journalArticlepeer-review

  4. Analysis of the in situ stress contrast impact on a planar hydraulic fracture propagation using the fully coupled poroelastic model

    Baykin, A. N. & Golovin, S. V., 22 Oct 2017, In: Journal of Physics: Conference Series. 894, 1, 5 p., 012005.

    Research output: Contribution to journalArticlepeer-review

  5. Analysis of the models of motion of aqueous solutions of polymers on the basis of their exact solutions

    Frolovskaya, O. A. & Pukhnachev, V. V., Jun 2018, In: Polymers. 10, 6, 13 p., 684.

    Research output: Contribution to journalArticlepeer-review

  6. An implicit level set algorithm for hydraulic fracturing with a stress-layer asymptote

    Valov, A. V., Dontsov, E. V., Baykin, A. N. & Golovin, S. V., 15 Nov 2023, In: Engineering Fracture Mechanics. 292, 109662.

    Research output: Contribution to journalArticlepeer-review

  7. Anisotropic vanishing diffusion method applied to genuinely nonlinear forward-backward ultra-parabolic equations

    Kuznetsov, I. V. & Sazhenkov, S. A., 1 Jan 2018, In: Сибирские электронные математические известия. 15, p. 1158-1173 16 p.

    Research output: Contribution to journalArticlepeer-review

  8. Application of the Fully Coupled Planar 3D Poroelastic Hydraulic Fracturing Model to the Analysis of the Permeability Contrast Impact on Fracture Propagation

    Baykin, A. N. & Golovin, S. V., 1 Oct 2018, In: Rock Mechanics and Rock Engineering. 51, 10, p. 3205-3217 13 p.

    Research output: Contribution to journalArticlepeer-review

  9. A Problem on a Viscous Layer Deformation

    Zhuravleva, E. N. & Pukhnachev, V. V., 1 Feb 2020, In: Doklady Physics. 65, 2, p. 60-63 4 p.

    Research output: Contribution to journalArticlepeer-review

  10. A shock layer arising as the source term collapses in the p(x)-Laplacian equation

    Antontsev, S. N., Kuznetsov, I. & Sazhenkov, S. A., 2020, In: Problemy Analiza. 9(27), 3, p. 31-53 23 p.

    Research output: Contribution to journalArticlepeer-review

  11. Behavior of Viscoplastic Rocks near Fractures: Mathematical Modeling

    Shelukhin, V. V. & Kontorovich, A. E., 1 Dec 2019, In: Doklady Physics. 64, 12, p. 461-465 5 p.

    Research output: Contribution to journalArticlepeer-review

  12. Characteristic properties of the system of equations for an incompressible viscoelastic Maxwell medium

    Meleshko, S. V., Petrova, A. G. & Pukhnachev, V. V., 1 Sept 2017, In: Journal of Applied Mechanics and Technical Physics. 58, 5, p. 794-800 7 p.

    Research output: Contribution to journalArticlepeer-review

  13. Combined experimental/theoretical approach to residual stresses within multiplicative elasto-plasticity

    Tagiltsev, I. I. & Shutov, A. V., 1 Nov 2022, In: International Journal of Solids and Structures. 254-255, 111924.

    Research output: Contribution to journalArticlepeer-review

  14. Dirichlet problem for the Stokes equation

    Pukhnachev, V. V., 1 Jan 2017, In: Mathematical Notes. 101, 1-2, p. 132-136 5 p.

    Research output: Contribution to journalArticlepeer-review

  15. Dynamics of gas bubble growth in a high-viscosity gas-saturated liquid during its decompression at a finite rate

    Chernov, A. A., Davydov, M. N. & Pil’nik, A. A., Jan 2023, In: Thermophysics and Aeromechanics. 30, 1, p. 153-162 10 p.

    Research output: Contribution to journalArticlepeer-review

  16. Effect of barodiffusion on the dynamics of gas bubble growth in the magmatic melt

    Chernov, A. A., Davydov, M. N. & Lezhnin, S. I., Jul 2023, In: Thermophysics and Aeromechanics. 30, 4, p. 721-732 12 p.

    Research output: Contribution to journalArticlepeer-review

  17. Efficient time stepping for the multiplicative Maxwell fluid including the Mooney-Rivlin hyperelasticity

    Shutov, A. V., 23 Mar 2018, In: International Journal for Numerical Methods in Engineering. 113, 12, p. 1851-1869 19 p.

    Research output: Contribution to journalArticlepeer-review

  18. Elasto-plastic fracture criterion for structural components with sharp V-shaped notches

    Kurguzov, V. D. & Shutov, A. V., Apr 2021, In: International Journal of Fracture. 228, 2, p. 179-197 19 p.

    Research output: Contribution to journalArticlepeer-review

  19. Equilibrium problem for elastic plate with thin rigid inclusion crossing an external boundary

    Khludnev, A. & Fankina, I., Jun 2021, In: Zeitschrift fur Angewandte Mathematik und Physik. 72, 3, 121.

    Research output: Contribution to journalArticlepeer-review

  20. Exact solutions of boundary layer equations in polymer solutions

    Burmistrova, O. A., Meleshko, S. V. & Pukhnachev, V. V., Nov 2021, In: Symmetry. 13, 11, 2101.

    Research output: Contribution to journalArticlepeer-review

  21. Exact Solutions of Second-Grade Fluid Equations

    Petrova, A. G., Pukhnachev, V. V. & Frolovskaya, O. A., Sept 2023, In: Proceedings of the Steklov Institute of Mathematics. 322, 1, p. 173-187 15 p.

    Research output: Contribution to journalArticlepeer-review

  22. Exact Solutions of Stationary Equations of Ideal Magnetohydrodynamics in the Natural Coordinate System

    Golovin, S. V. & Sesma, L. T., 1 Mar 2019, In: Journal of Applied Mechanics and Technical Physics. 60, 2, p. 234-247 14 p.

    Research output: Contribution to journalArticlepeer-review

  23. Exact Solutions of the Precursor Film Equation

    Bazarova, V. B. & Pukhnachev, V. V., 1 May 2018, In: Journal of Mathematical Sciences (United States). 231, 2, p. 124-142 19 p.

    Research output: Contribution to journalArticlepeer-review

  24. Experimental Study of Proppant Bridging in a Model of a Hydraulic Fracture

    Golovin, S., Besov, A., Chebotnikov, A. & Ermanyuk, E., Apr 2022, In: SPE Journal. 27, 2, p. 1209-1220 12 p.

    Research output: Contribution to journalArticlepeer-review

  25. Extending uniaxial material laws to multiaxial constitutive relations: H-approach

    Shutov, A. V., Laktionov, P. P. & Nekrasova, Y. S., 1 May 2020, In: European Journal of Mechanics, A/Solids. 81, 9 p., 103937.

    Research output: Contribution to journalArticlepeer-review

  26. Fast method to simulate dynamics of two-phase medium with intense interaction between phases by smoothed particle hydrodynamics: Gas-dust mixture with polydisperse particles, linear drag, one-dimensional tests

    Stoyanovskaya, O., Davydov, M., Arendarenko, M., Isaenko, E., Markelova, T. & Snytnikov, V., 1 Apr 2021, In: Journal of Computational Physics. 430, 110035.

    Research output: Contribution to journalArticlepeer-review

  27. Finite strain transient creep of D16T alloy: Identification and validation employing heterogeneous tests

    Shutov, A. V. & Larichkin, A. Y., 22 Oct 2017, In: Journal of Physics: Conference Series. 894, 1, 7 p., 012110.

    Research output: Contribution to journalArticlepeer-review

  28. Flows of linear polymer solutions and other suspensions of rod-like particles: Anisotropic micropolar-fluid theory approach

    Shelukhin, V., 1 Nov 2021, In: Polymers. 13, 21, 3679.

    Research output: Contribution to journalArticlepeer-review

  29. Free Boundary Problem in a Polymer Solution Model

    Petrova, A. G. & Pukhnachev, V. V., Jan 2021, In: Russian Journal of Mathematical Physics. 28, 1, p. 96-103 8 p.

    Research output: Contribution to journalArticlepeer-review

  30. Geometrically nonlinear modelling of pre-stressed viscoelastic fibre-reinforced composites with application to arteries

    Tagiltsev, I. I. & Shutov, A., Feb 2021, In: Biomechanics and Modeling in Mechanobiology. 20, 1, p. 323-337 15 p.

    Research output: Contribution to journalArticlepeer-review

  31. Group Analysis and Exact Solutions of the Dynamic Equations of Plane Strain of an Incompressible Nonlinearly Elastic Body

    Annin, B. D., Bondar’, V. D. & Senashov, S. I., 20 Mar 2020, In: Journal of Applied and Industrial Mathematics. 14, 1, p. 6-8 3 p.

    Research output: Contribution to journalArticlepeer-review

  32. Group analysis of the boundary layer equations in the models of polymer solutions

    Meleshko, S. V. & Pukhnachev, V. V., 1 Jul 2020, In: Symmetry. 12, 7, 20 p., 1084.

    Research output: Contribution to journalArticlepeer-review

  33. High temperature creep of steel 09G2S under non-stationary loading

    Iyavoynen, S. V., Banshchikova, I. A., Lubashevskaya, I. V. & Legan, M. A., 22 Oct 2017, In: Journal of Physics: Conference Series. 894, 1, 6 p., 012123.

    Research output: Contribution to journalArticlepeer-review

  34. Homogenization of composite electrets

    Amirat, Y. & Shelukhin, V. V., 1 Apr 2017, In: European Journal of Applied Mathematics. 28, 2, p. 261-283 23 p.

    Research output: Contribution to journalArticlepeer-review

  35. Homogenization of Harmonic Maxwell Equations with Allowance for Interfacial Surface Currents: Layered Structure

    Amirat, Y. & Shelukhin, V. V., 1 Jul 2019, In: Journal of Applied Mechanics and Technical Physics. 60, 4, p. 593-607 15 p.

    Research output: Contribution to journalArticlepeer-review

  36. Homogenization of time harmonic Maxwell equations: the effect of interfacial currents

    Amirat, Y. & Shelukhin, V. V., 30 May 2017, In: Mathematical Methods in the Applied Sciences. 40, 8, p. 3140-3162 23 p.

    Research output: Contribution to journalArticlepeer-review

  37. Hydraulic fracture design for horizontal well

    Starovoytova, B. N., Golovin, S. V., Kavunnikova, E. A., Shel, E. V. & Paderin, G. V., 1 Aug 2019, In: Neftyanoe khozyaystvo - Oil Industry. 2019, 8, p. 106-110 5 p.

    Research output: Contribution to journalArticlepeer-review

  38. Influence of pore pressure on the development of a hydraulic fracture in poroelastic medium

    Golovin, S. V. & Baykin, A. N., 1 Aug 2018, In: International Journal of Rock Mechanics and Mining Sciences. 108, p. 198-208 11 p.

    Research output: Contribution to journalArticlepeer-review

  39. Integral-based averaging with spatial symmetries for non-local damage modelling

    Shutov, A. V. & Klyuchantsev, V. S., 1 Jan 2023, In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 103, 1, 26 p., e202100434.

    Research output: Contribution to journalArticlepeer-review

  40. Integral-based non-local approach to ductile damage and mixed-mode fracture

    Shutov, A. V. & Klyuchantsev, V. S., 15 Nov 2023, In: Engineering Fracture Mechanics. 292, 109656.

    Research output: Contribution to journalArticlepeer-review

  41. In vivo stability of polyurethane-based electrospun vascular grafts in terms of chemistry and mechanics

    Gostev, A. A., Shundrina, I. K., Pastukhov, V. I., Shutov, A. V., Chernonosova, V. S., Karpenko, A. A. & Laktionov, P. P., 1 Apr 2020, In: Polymers. 12, 4, 11 p., 845.

    Research output: Contribution to journalArticlepeer-review

  42. Ionic fracture fluid leak-off

    Shelukhin, V. & Epov, M., 19 Feb 2019, In: Fluids. 4, 1, 16 p., 32.

    Research output: Contribution to journalArticlepeer-review

  43. Kaplan's penalty operator in approximation of a diffusion-absorption problem with a one-sided constraint

    Sazhenkova, T. V. & Sazhenkov, S. A., 1 Jan 2019, In: Сибирские электронные математические известия. 16, p. 236-248 13 p.

    Research output: Contribution to journalArticlepeer-review

  44. Large strain integral-based nonlocal simulation of ductile damage with application to mode-I fracture

    Shutov, A. V. & Klyuchantsev, V. S., Sept 2021, In: International Journal of Plasticity. 144, 103061.

    Research output: Contribution to journalArticlepeer-review

  45. Lateral-Concentration Inhomogeneities in Flows of Suspensions of Rod-like Particles: The Approach of the Theory of Anisotropic Micropolar Fluid

    Shelukhin, V., Dec 2023, In: Mathematics. 11, 23, 4740.

    Research output: Contribution to journalArticlepeer-review

  46. Magnesium silicates at high dynamic loading

    Maevskiy, K. K., 2022, In: Вестник Томского государственного университета. Математика и механика. 79, p. 111-119 9 p.

    Research output: Contribution to journalArticlepeer-review

  47. Modelling of cyclic creep in the finite strain range using a nested split of the deformation gradient

    Shutov, A. V., Larichkin, A. Y. & Shutov, V. A., Sept 2017, In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 97, 9, p. 1083-1099 17 p.

    Research output: Contribution to journalArticlepeer-review

  48. Multiscale analysis of a model problem of a thermoelastic body with thin inclusions

    Sazhenkov, S. A., Fankina, I. V., Furtsev, A. I., Gilev, P. V., Gorynin, A. G., Gorynina, O. G., Karnaev, V. M. & Leonova, E. I., 2021, In: Siberian Electronic Mathematical Reports. 18, p. 282-318 37 p.

    Research output: Contribution to journalArticlepeer-review

  49. Noncoercive problems for elastic bodies with thin elastic inclusions

    Khludnev, A. & Fankina, I., 15 Sept 2023, In: Mathematical Methods in the Applied Sciences. 46, 13, p. 14214-14228 15 p.

    Research output: Contribution to journalArticlepeer-review

  50. Numerical Modeling of Carbides Behavior under High-Energy Loading

    Маевский, К. К., Dec 2023, In: Technical Physics. 68, Suppl 3, p. S466-S472 7 p.

    Research output: Contribution to journalArticlepeer-review

  51. Numerical Simulation of Thermodynamic Parameters of Carbon

    Mayevskii, K. K., 2022, In: High Temperature. 60, p. S194-S199

    Research output: Contribution to journalArticlepeer-review

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