Stepanova, Larisa V.

2025

• 1 Stepanova L.V., Mushankova K.A. EFFECTS OF TERMS OF HIGH ORDER IN SYNTHESIZED POLYNOMIAL SERIES APPROXIMATION FOR FIELDS ASSOCIATED WITH THE CRACK TIP IN ANISOTROPIC MEDIA. PART 1. COMPARISON OF EXACT AND ASYMPTOTIC SOLUTIONS FOR DETERMINING STRESSES AT THE CRACK TIP // PNRPU Mechanics Bulletin 2025. — Vol. 2025. Issue 1. № 1. — P. 59-81

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., 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
• 3 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
• 4 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
• 5 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
• 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., 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
• 8 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
• 9 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
• 10 Stepanova L.V., Roslyakov P.S. Многопарметрический анализ поля напряжений у вершины трещины // Vestnik SamGU 2015. — № № 10(132). — P. 52-76

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.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
• 2 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
• 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. 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
• 2 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

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. —

2014

• 1 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
• 2 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
• 3 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
• 4 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
• 5 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
• 6 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
• 7 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
• 8 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
• 9 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
• 10 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

2016

• 1 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
• 2 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
• 3 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
• 4 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
• 5 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.
• 6 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.
• 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 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

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 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
• 3 Stepanova L.V., Fomchenkova M.A. ON THE ACCURACY OF TRUNCATED EXPANSIONS AT THE CRACK TIP IN ANISOTROPIC MATERIALS; [О ТОЧНОСТИ УСЕЧЕННЫХ РАЗЛОЖЕНИЙ ПОЛЕЙ У ВЕРШИНЫ ТРЕЩИНЫ В АНИЗОТРОПНЫХ МАТЕРИАЛАХ] // Problems of Strength and Plasticity 2024. — Vol. 86. Issue 4. № 4. — P. 403-420
• 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
• 5 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

2017

• 1 Peksheva A.A., Stepanova L.V. Nonlinear eigenvalue problems in fracture mechanics: Eigenspectra and Eigenfunctions // CEUR Workshop Proceedings. — 2017. — Vol. 1904. — P. 280-288
• 2 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
• 3 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
• 4 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
• 5 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.
• 6 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. —
• 7 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
• 8 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
• 9 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
• 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. 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.
• 12 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
• 13 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.
• 14 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

2018

• 1 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.
• 2 Stepanova L. Asymptotic methods and their applications in nonlinear fracture mechanics: A review // Journal of Physics: Conference Series. — 2018. — Vol. 1096. Issue 1.
• 3 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
• 4 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
• 5 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.
• 6 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
• 7 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
• 8 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.
• 9 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.
• 10 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.

2019

• 1 Stepanova L.V., Bronnikov S.A. Molecular Dynamics Modeling of Crack Propagation // Journal of Physics: Conference Series. — 2019. — Vol. 1368. Issue 4.
• 2 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.
• 3 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
• 4 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
• 5 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. —
• 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 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.
• 2 Stepanova L.V., Belova O.N. A computational study of mixed-mode crack growth: Molecular dynamics method // AIP Conference Proceedings. — 2020. — Vol. 2315.
• 3 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.
• 4 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
• 5 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.
• 6 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
• 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 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
• 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., 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
• 11 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.
• 12 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
• 13 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.

2021

• 1 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
• 2 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.
• 3 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.
• 4 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.
• 5 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.
• 6 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
• 7 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
• 8 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.
• 9 Stepanova L.V., Zhabbarov R.M. Quasilinearization technique for solving nonlinear problems of solid mechanics // AIP Conference Proceedings. — 2021. — Vol. 2371.
• 10 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
• 11 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
• 12 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.
• 13 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
• 14 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
• 15 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
• 16 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
• 17 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
• 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 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
• 20 Stepanova L.V., Belova O.N. A molecular dynamics simulation analysis of mixed mode crack growth // AIP Conference Proceedings. — 2021. — Vol. 2371.
• 21 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
• 22 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
• 23 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.
• 24 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

2022

• 1 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.
• 2 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. —

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., 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
• 3 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
• 4 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
• 5 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.
• 6 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

1996

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