Elastoplastic modeling of fatigue cracks
https://doi.org/10.25206/1813-8225-2024-189-20-27
EDN: QRGWHG
Abstract
The presented work provides a detailed analysis of modern approaches to creating elastoplastic models of surface crack growth that take into account the influence of the type of biaxial loading on the development of stresses and strains at the crack tip and, accordingly, on the crack growth rate. The use of the plastic stress intensity factor as a characteristic of resistance to cyclic deformation and fracture for biaxial loading conditions is substantiated. Continuum plasticity models are proposed to simulate the elastoplastic behavior of metal using numerical methods and, in particular, the finite element method.
About the Authors
K. A. VansovichRussian Federation
Vansovich Konstantin Aleksandrovich, Candidate of Technical Sciences, Associate Professor, Associate Professor of Oil and Gas Storage, Standardization and Certification Department
AuthorID (RSCI): 685945
Omsk
V. I. Yadrov
Russian Federation
Yadrov Viktor Ivanovich, Candidate of Technical Sciences, Associate Professor of Military Training Centre
AuthorID (RSCI): 891137
Omsk
References
1. Pokrovskiy A. M., Dubovitskiy E. I. Primeneniye metoda secheniy dlya opredeleniya koeffitsiyenta intensivnosti napryazheniy po frontu poluellipticheskoy poperechnoy krayevoy treshchiny v rastyanutoy polose [Sectioning method application to determine stress intensity factor along the front of a semi-elliptical transverse edge crack in a stretched flat bar] // Inzhenernyy zhurnal: nauka i innovatsii. Engineering Journal: Science and Innovation. 2019. No. 3 (87). P. 1–14. DOI: 10.18698/2308-6033-2019-3-1861. (In Russ.).
2. Chahardehi A., Brennan F. P., Han S. K. Surface Crack Shape Evolution Modelling using an RMS SIF approach // International Journal of Fatigue. 2010. Vol. 32, Issue 2. P. 297–301. (In Engl.).
3. Pham T. N., Rungamornrat J., Pansuk W. [et al.]. Analysis of Cracks in Isotropic Linear Elastic Half-space Under Various Boundary Conditions by Weakly Singular SGBEM. 2015. URL: http://www.i-asem.org/publication_conf/asem15/1.ISEM15/2t/T3B.8.SM106_1772F1.pdf (accessed: 01.06.2020). (In Engl.).
4. He M. Y., Hutchinson J. W. Surface crack subject to mixed mode loading // Engineering Fracture Mechanics. 2000. Vol. 65, no. 1. P. 1–14. DOI: 10.1016/S0013-7944(99)00129-0. (In Engl.).
5. Lee H. The 3D surface crack-front constraints in bimaterial joints // Nuclear Engineering and Design. 2003. No. 226 (2). P. 107–118. DOI: 10.1016/S0029-5493(03)00188-2. (In Engl.).
6. Ariatedja J. B., Mamat O. A Semi-elliptical Crack Modeling and Fracture Constraint on Failure Diagram // Journal of Applied Sciences. 2011. Vol. 11. P. 2006–2011. DOI:10.3923/jas.2011.2006.2011. (In Engl.).
7. Skvortsov Yu. V., Glushkov S. V. Modelirovaniye neskvoznykh poverkhnostnykh treshchin v tonkostennykh konstruktsiyakh [Modeling non-through surface cracks in the thin-walled structures] // Vestnik Samarskogo gosudarstvennogo aerokosmicheskogo universiteta. Bulletin of Samara State Aerospace University. 2011. No. 3 (27). P. 187–191. EDN: OWYQXP. (In Russ.).
8. Guchinskiy R. V., Petinov S. V. Prognozirovaniye razvitiya chetvert’ellipticheskoy treshchiny ustalosti s pomoshch’yu konechno-elementnogo modelirovaniya nakopleniya povrezhdeniy [Surface fatigue crack growth simulation based on the finite-element aided damage accumulation procedure] // Zhurnal Sibirskogo federal’nogo universiteta. Seriya: tekhnika i tekhnologii. Journal of Siberian Federal University. Series: Engineering and Technology. 2015. Vol. 8, no. 7. P. 890–900. DOI: 10.17516/1999-494X-2015-8-7-890-900. (In Russ.).
9. Guchinskiy R. V., Petinov S. V. Chislennoye modelirovaniye rasprostraneniya poluellipticheskoy treshchiny ustalosti na osnovanii otsenki nakopleniya povrezhdeniy [Numerical modeling of the semi-elliptical fatigue crack growth using damage accumulation approach] // Vychislitel’naya mekhanika sploshnykh sred. Computational Continuum Mechanics. 2015. Vol. 8, no. 4. P. 376–385. DOI: 10.7242/1999-6691/2015.8.4.32. (In Russ.).
10. Mutava J., Muvengei O., Njoroge K. [et al.]. Solutions to Pressure Vessel Failures: A Review // International Journal of Science, Engineering and Technology Research (IJSETR). 2017. Vol. 6, Issue 2. P. 201–207. (In Engl.).
11. Shlyannikov V., Zakharov A., Lyagova A. Surface and through thickness crack growth in cruciform pecimens subjected to biaxial loading // Procedia Structural Integrity. 2016. Vol. 2. P. 3248–3255. DOI: 10.1016/j.prostr.2016.06.405. (In Engl.).
12. Zakharov A. P., Shlyannikov V. N., Ishtyryakov I. S. Plasticheskiy koeffitsiyent intensivnosti napryazheniy v zadachakh mekhaniki razrusheniya [Plastic stress intensity factor in fracture mechanics] // Vestnik Permskogo natsional’nogo issledovatel’skogo politekhnicheskogo universiteta. Mekhanika. PNRPU Mechanics Bulletin. 2019. No. 2. P. 100–115. DOI: 10.15593/perm.mech/2019.2.08. (In Russ.).
13. Shi K., Cai L., Chen L. [et al.] A theoretical model of semielliptic surface crack growth // Chinese Journal of Aeronautics. 2014. Vol. 27, no. 3. P. 730–734. DOI:10.1016/j.cja.2014.04.012. (In Engl.).
14. Kolmogorov V. L., Bogatov A. A., Migachev B. A. [et al.]. Plastichnost’ i razrusheniye [Plasticity and destruction] / Ed. by V. L. Kolmogorova. Moscow, 1977. 336 p. (In Russ.).
15. Malinin N. N. Prikladnaya teoriya plastichnosti i polzuchesti [Applied theory of plasticity and creep]. 2nd ed., reprint. and additional. Moscow, 1975. 399 p. (In Russ.).
16. Vansovich K. A. Uprugoplasticheskaya model’ rosta ustalostnykh poverkhnostnykh treshchin v tolstostennykh konstruktsiyakh pri dvukhosnom nagruzhenii [Elastic-plastic model of fatigue crack growth in the surface of thick-walled structures under biaxial loading] // Engineering Journal: Science and Innovation. Engineering Journal: Science and Innovation. 2017. No. 3. P. 1–16. (In Russ.).
17. Sobotka J. C., McClung R. C. Automatic 3D Crack Placement using the Python API in Abaqus CAE. URL: https://www.3ds.com/fileadmin/PRODUCTS-SERVICES/SIMULIA/Resources-center/PDF/2018-SAoE-Automatic_3D_Crack_Placement_using_the_Python_API_in_Abaqus_CAE.pdf (accessed: 01.06.2020). (In Engl.).
Review
For citations:
Vansovich KA, Yadrov VI. Elastoplastic modeling of fatigue cracks. Omsk Scientific Bulletin. 2024;(1):20-27. (In Russ.) https://doi.org/10.25206/1813-8225-2024-189-20-27. EDN: QRGWHG
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