Stepanova Larisa Valentinovna

Publications in Math-Net.Ru

1. 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
2. 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. Experience in modeling inclined cracks in materials with cubic crystal structure
   
   Vestnik SamU. Estestvenno-Nauchnaya Ser., 29:4 (2023),  106–116
4. 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. 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
6. Effect of damage accumulation on the asymptotic behavior of stresses ahead the crack tip
   
   Vestnik SamU. Estestvenno-Nauchnaya Ser., 29:1 (2023),  47–63
7. 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
8. 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
9. 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
10. Application of the UMAT subroutine for solving continuum mechanics problems (overview)
    
    Vestnik SamU. Estestvenno-Nauchnaya Ser., 27:3 (2021),  46–73
11. 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
12. Computer simulation of crack growth. Molecular dynamics method
    
    Vestnik SamU. Estestvenno-Nauchnaya Ser., 26:4 (2020),  44–55
13. 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
14. 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
15. Asymptotic analysis of the crack tip stress field (consideration of higher order terms)
    
    Sib. Zh. Vychisl. Mat., 22:3 (2019),  345–361
16. 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
17. Studying the crack distribution by the molecular dynamics method in a copper plate
    
    Vestnik SamU. Estestvenno-Nauchnaya Ser., 25:3 (2019),  39–61
18. Theoretical and experimental investigation of crack propagation direction. Part II
    
    Vestnik SamU. Estestvenno-Nauchnaya Ser., 25:2 (2019),  55–74
19. Theoretical and experimental investigation of crack propagation direction. Part I
    
    Vestnik SamU. Estestvenno-Nauchnaya Ser., 25:2 (2019),  30–54
20. 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
21. 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
22. 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
23. 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
24. 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
25. 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
26. 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
27. 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
28. 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
29. 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
30. Multiparametric analysis of the stress field near the crack tip
    
    Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2015, no. 10(132),  52–76
31. Stress-strain state in the vicinity of a crack tip under mixed loading
    
    Prikl. Mekh. Tekh. Fiz., 55:5 (2014),  181–194
32. 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
33. 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
34. 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
35. 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
36. 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
37. 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
38. On development of multiscale fracture models
    
    Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 9(100),  70–83
39. 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
40. 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
41. 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
42. 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
43. Eigenvalue analysis for a rack in a power-law material
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:8 (2009),  1399–1415
44. Eigenvalues of the antiplane-shear crack problem for a power-law material
    
    Prikl. Mekh. Tekh. Fiz., 49:1 (2008),  173–180
45. 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
46. Исследование собственных чисел в задаче о трещине отрыва
    
    Matem. Mod. Kraev. Zadachi, 1 (2007),  244–249
47. 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
48. Исследование собственных чисел в задаче о неподвижной трещине
    
    Matem. Mod. Kraev. Zadachi, 1 (2006),  201–206
49. 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
50. 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
51. Self-similar solution of the antiplane shear fracture problem in a coupled formulation (creep––damage)
    
    Prikl. Mekh. Tekh. Fiz., 43:5 (2002),  114–123
52. 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


53. In memory of Vladimir Ivanovich Astafyev (30.11.1948 – 08.02.2024)
    
    Vestnik SamU. Estestvenno-Nauchnaya Ser., 30:1 (2024),  7–22