федеральное государственное автономное образовательное учреждение высшего образования
«Самарский национальный исследовательский университет имени академика С.П. Королева»

Stepanova, Larisa V.

  • Department of Mathematical Modelling in Mechanics, head
2024
  • 1 Stepanova L.V., Mushankova K.A. Atomistic and continuum Ascertainment of The crack tip stress fields in anisotropic elastic cubic media // Theoretical and Applied Fracture Mechanics 2024. — Vol. 133.
  • 2 Stepanova L.V., Mushankova K.A. ATOMISTIC AND CONTINUAL DETERMINATION OF STRESS FIELDS AT A CRACK TIP IN ANISOTROPIC ENVIRONMENT WITH CUBIC SYSTEM [АТОМИСТИЧЕСКОЕ И КОНТИНУАЛЬНОЕ ОПРЕДЕЛЕНИЕ ПОЛЕЙ НАПРЯЖЕНИЙ У ВЕРШИНЫ ТРЕЩИНЫ В АНИЗОТРОПНЫХ СРЕДАХ С КУБИЧЕСКОЙ СИНГОНИЕЙ] // Problems of Strength and Plasticity 2024. — Vol. 86. Issue 1. № 1. — P. 15-25
  • 3 Anisimov G.S., Stepanova L.V. EXPERIMENTAL DETERMINATION OF CRACK-TIP FIELDS: HOLOGRAPHIC INTERFEROMETRY METHOD AND DIGITAL IMAGE CORRELATION METHOD // PNRPU Mechanics Bulletin 2024. — Vol. 2024. Issue 3. № 3. — P. 39-56
  • 4 Chapliy D.V., Belova O.N., Stepanova L.V. etc. ASYMPTOTIC BEHAVIOUR OF THE CRACK TIP FIELDS UNDER CREEP REGIME TAKING INTO ACCOUNT DAMAGE ACCUMULATION PROCESSES // PNRPU Mechanics Bulletin 2024. — Vol. 2024. Issue 3. № 3. — P. 17-38
2014
  • 1 Stepanova L.V., Igonin S.A. Описание рассеянного разрушения: параметр разрушения: параметр поврежденности Ю.Н. Работнова: историческая справка, фундаментальные результаты и современное состояние // Vestnik of Samara State University 2014. — № № 3(114). — P. 97-114
  • 2 Stepanova L.V., Adylina E.M. . Поле напряжений у вершины трещины при смешанном нагружении в условиях плоского напряженного состояния // Journal of Samara State Technical University. Ser. Physical and Mathematical Sciences 2014. — № № 1(34). — P. 109-124
  • 3 Stepanova L.V., Adylina E.M. Self-similar solutions to the creep crack problems in a damaged medium under mixed-mode loading conditions // Procedia Materials Science 2014. — № V. 3. — P. 948-954
  • 4 Stepanova L.V., Adylina E.M. Self-similar solutions to the creep crack problems in a damaged medium under mixed-mode loading conditions // 20th European Conference on Fracture. Fracture at all scales. 30th June -04th July, 2014, Trondheim, Norway . — 2014. — P. 1-1
  • 5 Turkova V.A., Stepanova L.V. Cyclic Loading of Structures in Damaged Materials // 20th European Conference on Fracture. Fracture at all scales.. — 2014. — P. 1-1
  • 6 Stepanova L.V., Yakovleva E.M. Mixed-mode loading of the cracked plate under plane stress conditions // PNRPU Mechanics Bulletin 2014. — Vol. 2014. Issue 3. — P. 129-162
  • 7 Stepanova L.V., Igonin S.A. Perturbation method for solving the nonlinear eigenvalue problem arising from fatigue crack growth problem in a damaged medium // Applied Mathematical Modelling 2014. — Vol. 38. Issue 14. — P. 3436-3455
  • 8 Stepanova, Larisa, Igonin, Sergey Higher-order asymptotic solution for the fatigue crack growth problem based on continuum damage mechanics // 20TH EUROPEAN CONFERENCE ON FRACTURE. — 2014. — Vol. 3. — P. 421-427
  • 9 Stepanova, Larisa, Adulina, Ekaterina Self-similar solutions to the creep crack problem in a damaged medium under mixed loading conditions // 20TH EUROPEAN CONFERENCE ON FRACTURE. — 2014. — Vol. 3. — P. 948-954
  • 10 Stepanova L.V., Adylina E.M. Stress-strain state in the vicinity of a crack tip under mixed loading // Journal of Applied Mechanics and Technical Physics 2014. — Vol. 55. Issue 5. — P. 885-895
2001
  • 1 Radayev Y.N., Stepanova L.V. On the effect of the residual stresses on the crack opening displacement in a cracked sheet // International Journal of Fracture 2001. — Vol. 107. Issue 4. — P. 329-360
2005
  • 1 Stepanova L.V., Fedina M.E. Asymptotic behavior of the far stress field in the problem of crack growth in a damaged medium under creep conditions // Journal of Applied Mechanics and Technical Physics 2005. — Vol. 46. Issue 4. — P. 570-580
2006
  • 1 Stepanova L.V., Fedina M.E. Similarity solutions of creep - Damage coupled problems in fracture mechanics // Fracture of Nano and Engineering Materials and Structures - Proceedings of the 16th European Conference of Fracture. — 2006. — P. 157-158
2008
  • 1 Stepanova L. Eigenspectra and orders of stress singularity at a mode I crack tip for a power-law medium // Comptes Rendus - Mecanique 2008. — Vol. 336. Issue 1-2. — P. 232-237
  • 2 Stepanova L.V., Fedina M.Ye. Self-similar solution of a tensile crack problem in a coupled formulation // Journal of Applied Mathematics and Mechanics 2008. — Vol. 72. Issue 3. — P. 360-368
  • 3 Stepanova L.V. Eigenvalues of the antiplane-shear crack problem for a power-law material // Journal of Applied Mechanics and Technical Physics 2008. — Vol. 49. Issue 1. — P. 142-147
2009
  • 1 Stepanova L.V. Eigenvalue analysis for a crack in a power-law material // Computational Mathematics and Mathematical Physics 2009. — Vol. 49. Issue 8. — P. 1332-1347
  • 2 Stepanova L.V. 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 // Journal of Applied Mechanics and Technical Physics 2009. — Vol. 50. Issue 1. — P. 137-146
2012
  • 1 Stepanova L. An intermediate asymptotic solution of the coupled creep-damage crack problem in similarity variable // 19th European Conference on Fracture: Fracture Mechanics for Durability, Reliability and Safety, ECF 2012. — 2012. —
  • 2 Adulina E., Stepanova L. Nonlinear eigenvalue problems arising from nonlinear fracture mechanics analysis // 19th European Conference on Fracture: Fracture Mechanics for Durability, Reliability and Safety, ECF 2012. — 2012. —
2015
  • 1 Stepanova L.V., Igonin S.A. Rabotnov damageparameter and description of delayed fracture: Results, current status, application to fracture mechanics, and prospects // Journal of Applied Mechanics and Technical Physics 2015. — Vol. 56. Issue 2. — P. 282-292
  • 2 Stepanova L.V., Roslyakov P.S. Многопарметрический анализ поля напряжений у вершины трещины // Vestnik SamGU 2015. — № № 10(132). — P. 52-76
  • 3 Stepanova L.V., Roslyakov P.S. Complete asymptotic expansion m. williams near the crack tips of collinear cracks of equal lengths in an infinite plane medium // PNRPU Mechanics Bulletin 2015. — Vol. 2015. Issue 4. — P. 188-225
  • 4 Stepanova L.V., Yakovleva E.M., Mironova E.A. Asymptotic self-similar solutions of the creep crack problems in a damaged materials under mixed mode loading // The Second International Conference on Damage Mechanics. — 2015. — P. 1-1
  • 5 Stepanova L.V., Igonin S.A. Asymptotics of the near-crack-tip stress field of a growing fatigue crack in damaged materials: Numerical experiment and analytical solution // Numerical Analysis and Applications 2015. — Vol. 8. Issue 2. — P. 168-181
  • 6 Stepanova L.V., Roslyakov P.S., Gerasimova T.E. A Photoelastic Study for Multiparametric Analysis of The Near Crack Tip Stress Field // ESMC 2015 European Solid Mechanics Conference. — 2015. — P. 1-2
  • 7 Stepanova L.V., Yakovleva E.M., Mironova E.A. Asymptotic Stress Fields in the Vicinity of the Mixed-Mode Crack Under Plane Stress Conditions for a Power-law Hardening Material: Applications to a Damage Accumulation Process in the Vicinity of the Crack Tip // ESMC 2015 9th Europena Solid Mechanics Conference. — 2015. — P. 1-2
  • 8 Stepanova L.V., Yakovleva E.M. Asymptotic stress field in the vicinity of a mixed-mode crack under plane stress conditions for a power-law hardening material // Journal of Mechanics of Materials and Structures 2015. — Vol. 10. Issue 3. — P. 367-393
  • 9 Stepanova L.V., Yakovleva E., Mironova E.A. Asymptotic self-similar solution of the creep crack problems in damaged materials under mixed mode loading // Applied Mechanics and Materials 2015. — № V. 784. — P. 145-152
  • 10 Stepanova L.V., Yakovleva E.M. О смешанном нагружении элементов конструкций с дефектом // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences 2015. — № Т.19. № 2. — P. 358-381
2023
  • 1 Zhabbarov R.M., Stepanova L.V. An approximate analytical solution to a nonlinear problem of steady state creep of a holed plane medium under uniaxial tension by the quasilinearization method // AIP Conference Proceedings. — 2023. — Vol. 2627.
  • 2 Stepanova L.V., Belova O.N. Atomistic evaluation of stress intensity factors and higher-order terms of 2D Williams series expansion by molecular dynamics method // AIP Conference Proceedings. — 2023. — Vol. 2627.
  • 3 Stepanova L.V., Belova O.N. IDENTIFICATION OF STRESS INTENSITY FACTORS, T-STRESSES AND HIGHER-ORDER COEFFICIENTS OF REGULAR TERMS IN THE WILLIAMS SERIES EXPANSION THROUGH MOLECULAR DYNAMICS SIMULATIONS // PNRPU Mechanics Bulletin 2023. — Vol. 2023. Issue 2. № 2. — P. 47-77
  • 4 Chapliy D.V., Stepanova L.V., Belova O.N. 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; [Параметрическое исследование полей, ассоциированных с вершиной трещины, в условиях ползучести с учетом процессов накопления поврежденности с использованием UMAT] // Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta, Seriya Fiziko-Matematicheskie Nauki 2023. — Vol. 27. Issue 3. № 3. — P. 509-529
  • 5 Stepanova L.V., Mushankova K.A., Belova O.N. Identification of Linear Elastic Fracture Mechanics Parameters Through the Atomistic Simulation Based Analysis // Procedia Structural Integrity. — 2023. — Vol. 50. — P. 275-283
  • 6 Belova O.N., Stepanova L.V. MODELLING THE CRACK PROPAGATION AND ANALYSIS OF THE INCLINED CRACK PATH IN THE PIPE WITH THE EXTENDED FINITE ELEMENT METHOD AND MOLECULAR DYNAMICS METHOD // Problems of Strength and Plasticity 2023. — Vol. 85. Issue 4. № 4. — P. 491-499
2016
  • 1 Turkova V. A. , Stepanova L.V. Finite element analysis of biaxial cyclic tensile loading of elasto-plastic plate with central elliptical hole // PNRPU Mechanics Bulletin 2016. — Vol. 2016. Issue 3. — P. 207-221
  • 2 Stepanova L., Yakovleva E. Stress-strain state near the crack tip under mixed-mode loading: Asymptotic approach and numerical solutions of nonlinear eigenvalue problems // AIP Conference Proceedings. — 2016. — Vol. 1785.
  • 3 Larisa S., Pavel R., Pavel L. A Photoelastic Study for Multiparametric Analysis of the Near Crack Tip Stress Field under Mixed Mode Loading // Procedia Structural Integrity. — 2016. — Vol. 2. — P. 1797-1804
  • 4 Stepanova L.V., Yakovleva E.M. Asymptotics of eigenvalues of the nonlinear eigenvalue problem arising from the near mixed-mode crack-tip stress-strain field problems // Numerical Analysis and Applications 2016. — Vol. 9. Issue 2. — P. 159-170
  • 5 Stepanova L., Roslyakov P. Multi-parameter description of the crack-tip stress field: Analytic determination of coefficients of crack-tip stress expansions in the vicinity of the crack tips of two finite cracks in an infinite plane medium // International Journal of Solids and Structures 2016. — Vol. 100-101. — P. 11-28
  • 6 Stepanova L., Roslyakov P. Complete Williams asymptotic expansion of the stress field near the crack tip: Analytical solutions, interference-optic methods and numerical experiments // AIP Conference Proceedings. — 2016. — Vol. 1785.
  • 7 Stepanova L., Roslyakov P. Complete Williams Asymptotic Expansion Near the Crack Tips of Collinear Cracks of Equal Lengths in an Infinite Plane Medium // Procedia Structural Integrity. — 2016. — Vol. 2. — P. 1789-1796
  • 8 Larisa S., Yakovleva E. M. Asymptotic Stress Field in the Vicinity of the Mixed-Mode Crack in Damaged Materials under Creep Conditions // Procedia Structural Integrity. — 2016. — Vol. 2. — P. 793-800
2017
  • 1 Stepanova L.V. The generalized fracture criteria based on the multi-parameter representation of the crack tip stress field // AIP Conference Proceedings. — 2017. — Vol. 1915.
  • 2 Stepanova L.V., Dolgikh V.S., Turkova V. A. Digital photoelasticity for calculating coefficients of the Williams series expansion in plate with two collinear cracks under mixed mode loading // CEUR Workshop Proceedings. — 2017. — Vol. 1904. — P. 200-208
  • 3 Stepanova L.V. Modeling of crack growth under mixed-mode loading by a molecular dynamics method and a linear fracture mechanics approach // AIP Conference Proceedings. — 2017. — Vol. 1915.
  • 4 Stepanova L.V. Estimation of the crack propagation direction angle for two collinear cracks of different lengths in an infinite isotropic linear elastic plane // AIP Conference Proceedings. — 2017. — Vol. 1915.
  • 5 Stepanova, LV, Dolgikh, V. S. 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 // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences 2017. — Vol. 21. Issue 4. — P. 717-735
  • 6 Stepanova L.V., Bronnikov S.A., Belova O.N. Estimation of crack propagation direction angle under Mixed-Mode loading (Mode I and Mode II): Generalized fracture mechanics criteria and atomistic modeling (molecular dynamics method) // PNRPU Mechanics Bulletin 2017. — Vol. 4. — P. 189-213
  • 7 Popkov V.I., Sterenberg A.M., Stepanova L.V. etc. Mineral and raw material resource geomodeling of geo-physical synergy in zhiguli dislocation. Evaluation of reservoir uncertainty // Engineering Geophysics 2017. — 2017. —
  • 8 Stepanova L., Mironova E. Intermediate asymptotic behavior of the stress and damage fields in the vicinity of the mixed-mode crack tip under creep regime // CEUR Workshop Proceedings. — 2017. — Vol. 1904. — P. 141-150
  • 9 Peksheva A.A., Stepanova L.V. Nonlinear eigenvalue problems in fracture mechanics: Eigenspectra and Eigenfunctions // CEUR Workshop Proceedings. — 2017. — Vol. 1904. — P. 280-288
  • 10 Stepanova L.V., Mironova E.A. Intermediate stress asymptotics in the vicinity of the crack tip in a damaed power law material under mixed mode loading // ICF 2017 - 14th International Conference on Fracture. — 2017. — Vol. 2. — P. 163-164
  • 11 Stepanova L.V. Influence of higher-order terms of the Williams expansion on the crack-tip stress field for mixed-mode loadings: Asymptotic solutions and interference-optical methods of solid mechanics // ICF 2017 - 14th International Conference on Fracture. — 2017. — Vol. 2. — P. 110-111
  • 12 Stepanova L.V., Peksheva A.A. Eigenfunctions of the nonlinear eigenvalue problem arising from problems of determining crack tip stress field in power-law materials under mode III loading // ICF 2017 - 14th International Conference on Fracture. — 2017. — Vol. 2. — P. 114-115
  • 13 Stepanova L.V., Dolgich V.S. The investigation of crack's parameters of the Williams series asymptotic expansion using photoelasticity method // ICF 2017 - 14th International Conference on Fracture. — 2017. — Vol. 2. — P. 530-531
  • 14 Stepanova L., Roslyakov P., Gerasimova T. Complete williams asymptotic expansion near the crack tips of collinear cracks of equal lengths in an infinite plane // Solid State Phenomena. — 2017. — Vol. 258 SSP. — P. 209-212
2018
  • 1 Stepanova L.V., Frolov K.V. Finite element study of mixed mode loading of the cracked semicircular disc under bending // PNRPU Mechanics Bulletin 2018. — Issue 3. — P. 128-137
  • 2 Stepanova L., Bronnikov S. Mathematical modeling of the crack growth in linear elastic isotropic materials by conventional fracture mechanics approaches and by molecular dynamics method: Crack propagation direction angle under mixed mode loading // Journal of Physics: Conference Series. — 2018. — Vol. 973. Issue 1.
  • 3 Stepanova L. Asymptotic methods and their applications in nonlinear fracture mechanics: A review // Journal of Physics: Conference Series. — 2018. — Vol. 1096. Issue 1.
  • 4 Stepanova L.V., Belova O.N. Estimation of crack propagation direction angles under mixed mode loading in linear elastic isotropic materials by generalized fracture mechanics criteria and by molecular dynamics method // Journal of Physics: Conference Series. — 2018. — Vol. 1096. Issue 1.
  • 5 Stepanova L.V., Dolgikh V.S. Interference-optical methods in mechanics for the multi-parameter description of the stress fields in the vicinity of the crack tip // Journal of Physics: Conference Series. — 2018. — Vol. 1096. Issue 1.
  • 6 Stepanova L. Intermediate self-similar asymptotic presentation of stress and damage fields in the vicinity of mixed mode crack tip under creep regime // Procedia Structural Integrity. — 2018. — Vol. 13. — P. 255-260
  • 7 Turkova V. A. , Stepanova L.V. Evaluation of damage accumulation zone in the vicinity of the crack tip: FEM analysis via UMAT procedure // Journal of Physics: Conference Series. — 2018. — Vol. 1096. Issue 1.
  • 8 Stepanova L.V. Computational simulation of the damage accumulation processes in cracked solids by the user procedure umat of simulia abaqus // PNRPU Mechanics Bulletin 2018. — Issue 3. — P. 71-86
  • 9 Turkova V. A. , Stepanova L. Finite element analysis of the biaxial cyclic tensile loading of the elastoplastic plate with the central hole: Asymptotic regimes // Journal of Physics: Conference Series. — 2018. — Vol. 973. Issue 1.
  • 10 Stepanova L.V., Roslyakov P.S. Complete asymptotic expansion M. Williams near the crack tips of collinear cracks of equal lengths in an infinite plane medium // PNRPU Mechanics Bulletin 2018. — Vol. 2018. Issue 3-4. — P. 121-145
2019
  • 1 Larisa S., Sergey B. A computational study of the mixed-mode crack behavior by molecular dynamics method and the multi-parameter crack field description of classical fracture mechanics // Procedia Structural Integrity. — 2019. — Vol. 23. — P. 322-327
  • 2 Stepanova L.V. Asymptotic Analysis of the Crack Tip Stress Field (Consideration of Higher Order Terms) // Numerical Analysis and Applications 2019. — Vol. 12. Issue 3. — P. 284-296
  • 3 Stepanova L. Computational and experimental study of mixed mode loading of the cracked semi-circular disc under bending // Journal of Physics: Conference Series. — 2019. — Vol. 1368. Issue 4.
  • 4 Popkov V.I., Pchela K.V., Shterenberg A.M. etc. “3-D day and 3-D night” 4D geomechanics in integrated models of geology, virtually selected phase windows of formations, hydro-fracturing and filtration capacity properties of facies with in the Volga-Urals-Sakhalin region // Tyumen 2019: 6th Conference. — 2019. —
  • 5 Stepanova L.V., Bronnikov S.A. Molecular Dynamics Modeling of Crack Propagation // Journal of Physics: Conference Series. — 2019. — Vol. 1368. Issue 4.
  • 6 Stepanova L. Computational simulation of damage accumulation processes in cracked bodies by the UMAT procedure of SIMULIA Abaqus // Journal of Physics: Conference Series. — 2019. — Vol. 1368. Issue 4.
2020
  • 1 Stepanova L., Bronnikov S.A. A computational study of the mixed–mode crack behavior by molecular dynamics method and the multi – Parameter crack field description of classical fracture mechanics // Theoretical and Applied Fracture Mechanics 2020. — Vol. 109.
  • 2 Stepanova L.V., Aldebeneva K.N. Photoelastic study of a double edge notched plate for determination of the Williams series expansion // Вестник Самарского университета. Естественнонаучная серия 2020. — Vol. 26. № 4. — P. 56-67
  • 3 Stepanova L.V., Dolgikh V.S. Evaluation of the SIF, T-stress, and Higher-Order Coefficient Values of Cracked Triangular Specimens under Mixed Mode Loadings by the Digital Photoelasticity Method // AIP Conference Proceedings. — 2020. — Vol. 2315.
  • 4 Stepanova L.V., Belova O.N. A computational study of mixed-mode crack growth: Molecular dynamics method // AIP Conference Proceedings. — 2020. — Vol. 2315.
  • 5 Stepanova L.V., Zhabbarov R.M. Quasilinearization method for analytical solutions to nonlinear problems of solid mechanics: A plate with a central circular hole under the creep regime // AIP Conference Proceedings. — 2020. — Vol. 2315.
  • 6 Zhabbarov R.M., Stepanova L.V. Experimental evaluation of coefficients of multi-parameter asymptotic expansion of the crack-tip stress field using digital photoelasticity // Procedia Structural Integrity. — 2020. — Vol. 28. — P. 1774-1780
  • 7 Stepanova L.V., Zhabbarov R.M. Approximate solutions to nonlinear problems of solid mechanics by quasilinearization method // Procedia Structural Integrity. — 2020. — Vol. 28. — P. 2277-2282
  • 8 Stepanova L.V. The algorithm for the determination of the Williams asymptotic expansion coefficients for notched semidiscs using the photoelasticity method and finite element method // AIP Conference Proceedings. — 2020. — Vol. 2216.
  • 9 Stepanova L.V. Experimental determination and finite element analysis of coefficients of the multi-parameter williams series expansion in the vicinity of the crack tip in linear elastic materials. Part i // PNRPU Mechanics Bulletin 2020. — Vol. 2020. Issue 4. — P. 237-249
  • 10 Stepanova L.V., Zhabbarov R.M. Asymptotic crack-tip fields in perfect plasticity under mixed mode loading // Procedia Structural Integrity. — 2020. — Vol. 28. — P. 1781-1786
  • 11 Zhabbarov R.M., Stepanova L.V. Numerical determination of coefficients of multi-parameter asymptotic expansion of the crack-tip stress field using FEM // Procedia Structural Integrity. — 2020. — Vol. 28. — P. 1768-1773
  • 12 Dolgikh V.S., Stepanova L.V. A photoelastic and numeric study of the stress field in the vicinity of two interacting cracks: Stress intensity factors, T-stresses and higher order terms // AIP Conference Proceedings. — 2020. — Vol. 2216.
  • 13 Stepanova L.V. Asymptotic stress fields in the vicinity of the crack in perfectly plastic solids under mixed mode loading // PNRPU Mechanics Bulletin 2020. — Vol. 2020. Issue 3. — P. 73-89
2021
  • 1 Stepanova L.V. Higher-order coefficients of the Williams series expansion for near crack-tip fields and their extraction from FEM experiments and digital photoelasticity method // Journal of Physics: Conference Series. — 2021. — Vol. 1745. Issue 1.
  • 2 Stepanova L.V., Yakovleva E.M. Nonlinear eigenproblems arising from nonlinear fracture mechanics boundary value problems // Procedia Structural Integrity. — 2021. — Vol. 37. Issue C. — P. 908-919
  • 3 Stepanova L.V. Asymptotic stress fields near the crack tip in perfect plastic materials under mixed mode loading (plane strain conditions) // Journal of Physics: Conference Series. — 2021. — Vol. 1745. Issue 1.
  • 4 Stepanova L.V., Belova O.N. A molecular dynamics simulation analysis of mixed mode crack growth // AIP Conference Proceedings. — 2021. — Vol. 2371.
  • 5 Stepanova L.V. Methods of perturbation theory and their applications in nonlinear fracture mechanics: From the pioneering studies by Hutchinson, Rice and Rosengren until today // Material Design and Processing Communications 2021. — Vol. 3. Issue 6.
  • 6 Stepanova L.V., Belova O.N. The digital photoelasticity method and finite element analysis for determination of the multi-point crack-tip field series expansions for notched semi-disks // Journal of Physics: Conference Series. — 2021. — Vol. 1745. Issue 1.
  • 7 Belova O.N., Stepanova L.V. Photoelastic evaluation of stress fields and coefficients of multi-parameter asymptotic expansion of the crack-tip stress field // Procedia Structural Integrity. — 2021. — Vol. 32. Issue C. — P. 32-41
  • 8 Mushankova Karina Artemovna, Stepanova L.V. Молекулярно-динамическое моделирование полей напряжений в пластинах с центральной трещиной из материалов с гранецентрированной кубической решеткой // Vestnik of Samara University. Natural Science Series 2021. — Vol. 27. № 4. — P. 68-82
  • 9 Stepanova L.V. Experimental determination and finite element analysis of coefficients of the multi-parameter williams series expansion in the vicinity of the crack tip in linear elastic materials. Part ii // PNRPU Mechanics Bulletin 2021. — Vol. 2021. Issue 1. — P. 72-85
  • 10 Stepanova L.V., Belova O.N., Bronnikov S.A. Determination of continuum fracture mechanics parameters fro molecular dynamics simulations // World Congress in Computational Mechanics and ECCOMAS Congress. — 2021. — Vol. 100. — P. 1-7
  • 11 Belova O.N., Stepanova L.V. Computational and experimental identification of coefficients of the Williams series expansion by considering higher order terms in the cracked specimens through digital image analysis // Procedia Structural Integrity. — 2021. — Vol. 40. Issue C. — P. 46-60
  • 12 Stepanova L.V., Peksheva A.A. Mixed mode fracture in perfect plastic materials for plane stress conditions // Journal of Physics: Conference Series. — 2021. — Vol. 1745. Issue 1.
  • 13 Mironov A. V. , Petrova D. M. , Bakhareva Y. etc. Extracting fracture mechanics parameters (higher-order coefficients of Williams series expansion) from FEM analysis and digital photoelasticity method // Journal of Physics: Conference Series. — 2021. — Vol. 1902. Issue 1.
  • 14 Belova O.N., Stepanova L.V. Importance of the Higher Order Terms of the Williams series expansion: Experimental Aspects and Finite Element Simulations // Procedia Structural Integrity. — 2021. — Vol. 39. Issue C. — P. 770-785
  • 15 Stepanova L.V., Dolgikh V.S. Assessment of the SIF, T-stress and higher-order coefficient values of the cracked specimens with two interacting cracks or notches under mixed mode loadings by digital photoelasticity method // AIP Conference Proceedings. — 2021. — Vol. 2371.
  • 16 Stepanova L.V., Yakovleva E.M. Nonlinear Eigenvalues Problems Engendered by Nonlinear Fracture Mechanics Boundary Value Problems // Procedia Structural Integrity. — 2021. — Vol. 39. Issue C. — P. 735-747
  • 17 Stepanova L.V., Belova O.N., Bronnikov S.A. Atomistic determination of fracture mechanics parameters // Procedia Structural Integrity. — 2021. — Vol. 32. Issue C. — P. 261-272
  • 18 Belova O.N., Stepanova L.V. Holographic interferometry experiments and numerical analyses of the stress field on the Williams series expansion: Higher - Order terms // Procedia Structural Integrity. — 2021. — Vol. 39. Issue C. — P. 761-769
  • 19 Belova O.N., Stepanova L.V., Kosygina L.N. Experimental study on the interaction between two cracks by digital photoelasticity method: Construction of the Williams series expansion // Procedia Structural Integrity. — 2021. — Vol. 37. Issue C. — P. 888-899
  • 20 Stepanova L.V., Zhabbarov R.M. An effective scheme for solving a class of nonlinear boundary value problems of stress concentration through quasilinearisation approach // Procedia Structural Integrity. — 2021. — Vol. 37. Issue C. — P. 920-925
  • 21 Stepanova L., Belova O. An Over-deterministic Method Based on Atomistic Stress Fields: Higher Order Terms of the Williams power expansion // Procedia Structural Integrity. — 2021. — Vol. 39. Issue C. — P. 748-760
  • 22 Stepanova L.V., Zhabbarov R.M. Quasilinearization technique for solving nonlinear problems of solid mechanics // AIP Conference Proceedings. — 2021. — Vol. 2371.
  • 23 Stepanova L., Belova O. Stress intensity factors of continuum fracture mechanics at the nanoscale // Procedia Structural Integrity. — 2021. — Vol. 37. Issue C. — P. 900-907
  • 24 Stepanova L.V., Belova O.N. Computation of conventional fracture mechanics parameters via molecular dynamics simulations // Procedia Structural Integrity. — 2021. — Vol. 40. Issue C. — P. 392-405
2022
  • 1 Stepanova L.V., Belova O.N. Stress intensity factors, T-stresses and higher order coefficients of the Williams series expansion and their evaluation through molecular dynamics simulations // Mechanics of Advanced Materials and Structures 2022. —
  • 2 Stepanova L.V., Belova O.N. Coefficients of the williams power expansion of the near crack tip stress field in continuum linear elastic fracture mechanics at the nanoscale // Theoretical and Applied Fracture Mechanics 2022. — Vol. 119.
1996
  • 1 Astafev V. I. , Stepanova L.V., Shesterikov S.A. Crack tip asymptotic character of anti-plane stress and strain rate for linear fractional constitutive relations // Theoretical and Applied Fracture Mechanics 1996. — Vol. 24. Issue 3. — P. 263-268