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Publications in Math-Net.Ru |
Citations |
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2024 |
1. |
M. A. Fomchenkova, L. V. Stepanova, “Procedure of the overdeterministic method for finding the field expansion coefficients at the crack tip based on a finite element solution for the stress tensor components”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 30:2 (2024), 54–66 |
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2023 |
2. |
D. V. Chapliy, L. V. Stepanova, O. N. Belova, “Parametric analysis of the stress-strain and continuity fields
at the crack tip under creep regime taking into account
the processes of damage accumulation using UMAT”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 27:3 (2023), 509–529 |
3. |
K. A. Mushankova, L. V. Stepanova, “Experience in modeling inclined cracks in materials with cubic crystal structure”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 29:4 (2023), 106–116 |
4. |
Y. S. Bykova, L. V. Stepanova, “Influence of the process of damage accumulation on the asymptotic behavior of stress fields under creep conditions of a sample with a central crack”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 29:4 (2023), 7–25 |
5. |
K. A. Mushankova, L. V. Stepanova, “Influence of high-order terms in the solution generalizing the approach of M. Williams, taking into account the anisotropy of the material”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 29:2 (2023), 30–39 |
1
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6. |
D. V. Chapliy, L. V. Stepanova, O. N. Belova, “Effect of damage accumulation on the asymptotic behavior of stresses ahead the crack tip”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 29:1 (2023), 47–63 |
1
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7. |
L. V. Stepanova, D. A. Semenov, G. S. Anisimov, “Application of holography method for the restoration of the Williams series near the crack tip”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 29:1 (2023), 15–46 |
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2021 |
8. |
K. A. Mushankova, L. V. Stepanova, “Molecular dynamic modeling of stress fields in plates with a central crack made of materials with a face-centered cubic lattice”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 27:4 (2021), 68–82 |
2
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9. |
R. M. Zhabbarov, L. V. Stepanova, “Comparative analysis of stress state in the vicinity of the crack-tips and notches using truncated Williams series expansion”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 27:4 (2021), 30–67 |
1
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10. |
O. N. Belova, D. V. Chapliy, L. V. Stepanova, “Application of the UMAT subroutine for solving continuum mechanics problems (overview)”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 27:3 (2021), 46–73 |
1
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2020 |
11. |
L. V. Stepanova, K. N. Aldebeneva, “Photoelastic study of a double edge notched plate for determination of the Williams series expansion”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 26:4 (2020), 56–67 |
1
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12. |
O. N. Belova, L. V. Stepanova, D. V. Chapliy, “Computer simulation of crack growth. Molecular dynamics method”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 26:4 (2020), 44–55 |
13. |
O. N. Belova, L. V. Stepanova, “Determination of the coefficients of asymptotic crack — tip stress expansion. Mixed mode loading of the plate”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 26:3 (2020), 40–62 |
2
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14. |
L. V. Stepanova, R. M. Zhabbarov, “Refined analysis of steady state creep of a rotating disk and a plate with a central hole under uniform tensile load by the quazilinearization method”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 26:1 (2020), 78–94 |
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2019 |
15. |
L. V. Stepanova, “Asymptotic analysis of the crack tip stress field (consideration of higher order terms)”, Sib. Zh. Vychisl. Mat., 22:3 (2019), 345–361 ; Num. Anal. Appl., 12:3 (2019), 284–296 |
10
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16. |
L. V. Stepanova, O. N. Belova, V. A. Turkova, “Determination of the Williams series expansion's coefficients using digital photoelasticity method and finite element method”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 25:3 (2019), 62–82 |
5
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17. |
O. N. Belova, L. V. Stepanova, “Studying the crack distribution by the molecular dynamics method in a copper plate”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 25:3 (2019), 39–61 |
18. |
V. S. Dolgikh, A. V. Pulkin, E. A. Mironova, A. A. Peksheva, L. V. Stepanova, “Theoretical and experimental investigation of crack propagation direction. Part II”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 25:2 (2019), 55–74 |
1
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19. |
V. S. Dolgikh, A. V. Pulkin, E. A. Mironova, A. A. Peksheva, L. V. Stepanova, “Theoretical and experimental investigation of crack propagation direction. Part I”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 25:2 (2019), 30–54 |
1
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20. |
L. V. Stepanova, “Influence of the higher order terms in Williams’ series expansion of the stress field on the stress-strain state in the vicinity of the crack tip. Part II”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 25:1 (2019), 80–96 |
5
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21. |
L. V. Stepanova, “Influence of the higher order terms in Williams’ series expansion of the stress field on the stress-strain state in the vicinity of the crack tip. Part I”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 25:1 (2019), 63–79 |
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2017 |
22. |
L. V. Stepanova, V. S. Dolgikh, “Digital processing of the results of optoelectronic measurements.
The photoelasticity method and its application for determination
of coefficients of the multiparameter asymptotic Williams expansion of the stress field”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:4 (2017), 717–735 |
8
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23. |
L. V. Stepanova, R. M. Zhabbarov, “Quazilinearization method for the solution to the problem of plate with the central circular hole under creep regime”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 2017, no. 2, 44–50 |
1
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24. |
L. V. Stepanova, V. S. Dolgikh, “Experimental determination of coefficients of a multiparameter decomposition of field of crack tip stresses: photoelasticity method”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 2017, no. 1, 59–68 |
1
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2016 |
25. |
L. V. Stepanova, E. M. Yakovleva, “Asymptotics of eigenvalues of the nonlinear eigenvalue problem arising from the near mixed-mode crack-tip stress-strain field problems”, Sib. Zh. Vychisl. Mat., 19:2 (2016), 207–222 ; Num. Anal. Appl., 9:2 (2016), 159–170 |
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2015 |
26. |
L. V. Stepanova, S. A. Igonin, “Rabotnov damageparameter and description of delayed fracture: Results, current status, application to fracture mechanics, and prospects”, Prikl. Mekh. Tekh. Fiz., 56:2 (2015), 133–145 ; J. Appl. Mech. Tech. Phys., 56:2 (2015), 282–292 |
13
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27. |
L. V. Stepanova, S. A. Igonin, “Asymptotics of the near crack-tip stress field of a fatigue growing crack in damaged materials: numerical experiment and analytical solution”, Sib. Zh. Vychisl. Mat., 18:2 (2015), 201–217 ; Num. Anal. Appl., 8:2 (2015), 168–181 |
25
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28. |
L. V. Stepanova, E. M. Yakovleva, “Mixed-mode loading of the structural elements with defect”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 19:2 (2015), 358–381 |
1
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29. |
L. V. Stepanova, E. M. Yakovleva, “Asymptotics of the stress field near a crack tip under mixed-mode loading: small parameter method”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2015, no. 10(132), 77–90 |
1
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30. |
L. V. Stepanova, P. S. Roslyakov, “Multiparametric analysis of the stress field near the crack tip”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2015, no. 10(132), 52–76 |
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2014 |
31. |
L. V. Stepanova, E. M. Adylina, “Stress-strain state in the vicinity of a crack tip under mixed loading”, Prikl. Mekh. Tekh. Fiz., 55:5 (2014), 181–194 ; J. Appl. Mech. Tech. Phys., 55:5 (2014), 885–895 |
25
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32. |
L. V. Stepanova, E. M. Adylina, “Stress Field Near the Mixed Mode Crack Tip under Plane Stress Conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(34) (2014), 109–124 |
1
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33. |
L. V. Stepanova, S. A. Igonin, “Description of deterioration processes: damage parameter of Y. N. Rabotnov: historical remarks, fundamental results and contemporary state”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014, no. 3(114), 97–114 |
1
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2013 |
34. |
L. V. Stepanova, E. M. Adylina, “Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(31) (2013), 156–168 |
5
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35. |
S. A. Igonin, L. V. Stepanova, “Asymptotics of stress and continuity fields near a fatigue growing crack in a damaged medium in conditions of state of plane stress”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, no. 9/2(110), 97–108 |
3
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36. |
T. E. Gerasimova, P. N. Lomakov, L. V. Stepanova, “Numerical photomechanics: numerical processing of photoelasticity experiments and its application to the problems of fracture mechanics problems”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, no. 9/2(110), 63–73 |
2
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37. |
L. V. Stepanova, E. M. Adylina, “Self-similar solution to the problem of mixed deformation of plate with a crack tip in a damaged medium”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, no. 9/1(110), 76–93 |
1
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2012 |
38. |
E. M. Adylina, L. V. Stepanova, “On development of multiscale fracture models”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 9(100), 70–83 |
9
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39. |
E. M. Adulina, S. A. Igonin, L. V. Stepanova, “About a non-linear task on eigenvalues incurring from the analysis of tensions at the fatigue crack tip”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 3/1(94), 83–102 |
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2011 |
40. |
L. V. Stepanova, “Refined study of stress-strain state near the crack tip under cyclic loading in a damaged medium”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 2(83), 105–115 |
12
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2009 |
41. |
L. V. Stepanova, “Asymptotics of stresses and strain rates near the tip of a transverse shear crack in a material whose behavior is described by a fractional-linear law”, Prikl. Mekh. Tekh. Fiz., 50:1 (2009), 165–176 ; J. Appl. Mech. Tech. Phys., 50:1 (2009), 137–146 |
8
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42. |
L. V. Stepanova, T. B. Elekina, “Combined mode loading (normal tracture model and in-plane shear) of the element of construction with in a material with the linear-fractional creep principle”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, no. 2(68), 123–139 |
2
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43. |
L. V. Stepanova, “Eigenvalue analysis for a rack in a power-law material”, Zh. Vychisl. Mat. Mat. Fiz., 49:8 (2009), 1399–1415 ; Comput. Math. Math. Phys., 49:8 (2009), 1332–1347 |
25
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2008 |
44. |
L. V. Stepanova, “Eigenvalues of the antiplane-shear crack problem for a power-law material”, Prikl. Mekh. Tekh. Fiz., 49:1 (2008), 173–180 ; J. Appl. Mech. Tech. Phys., 49:1 (2008), 142–147 |
10
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45. |
L. V. Stepanova, “Refined estimatation of the mode II crack tip stress field at plane stress conditions for a steady state creep linear-fractional law”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(17) (2008), 94–109 |
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2007 |
46. |
A. V. Skopintsev, L. V. Stepanova, “Исследование собственных чисел в задаче о трещине отрыва”, Matem. Mod. Kraev. Zadachi, 1 (2007), 244–249 |
47. |
L. V. Stepanova, M. E. Fedina, “Analysis of eigenvalues for problem on the transverse shear crack in material with power defining law”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(15) (2007), 60–68 |
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2006 |
48. |
A. V. Skopintsev, L. V. Stepanova, “Исследование собственных чисел в задаче о неподвижной трещине”, Matem. Mod. Kraev. Zadachi, 1 (2006), 201–206 |
49. |
L. V. Stepanova, N. A. Khomutskikh, “Собственные значения в задаче о трещине антиплоского сдвига в материале со степенным определяющим законом”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 43 (2006), 124–131 |
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2005 |
50. |
L. V. Stepanova, M. E. Fedina, “Asymptotic behavior of the far stress field in the problem of crack growth in a damaged medium under creep conditions”, Prikl. Mekh. Tekh. Fiz., 46:4 (2005), 133–145 ; J. Appl. Mech. Tech. Phys., 46:4 (2005), 570–580 |
6
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2002 |
51. |
L. V. Stepanova, M. E. Fedina, “Self-similar solution of the antiplane shear fracture problem in a coupled formulation (creep––damage)”, Prikl. Mekh. Tekh. Fiz., 43:5 (2002), 114–123 ; J. Appl. Mech. Tech. Phys., 43:5 (2002), 731–738 |
1
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1999 |
52. |
Yu. N. Radaev, L. V. Stepanova, “On the influence of the remote plastic zone on opening mode crack growth”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 7 (1999), 70–85 |
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2024 |
53. |
L. V. Stepanova, M. N. Osipov, M. E. Fedina, N. V. Voropaeva, A. N. Krutov, V. V. Bondarenko, “In memory of Vladimir Ivanovich Astafyev (30.11.1948 – 08.02.2024)”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 30:1 (2024), 7–22 |
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