On the method of the damage accumulation analysis in front of the fatigue crack in thin plates

Authors

DOI:

https://doi.org/10.17721/1812-5409.2021/3.16

Keywords:

fatigue crack, damage, thin plate, asymmetric load cycle

Abstract

The problem on modeling the process of damage accumulation along the fracture front at fatigue in a thin isotropic plate is considered. The solution of the problem is based on joined of the concepts of fracture mechanics and mechanics of continuous damage. A numerical solution of the integral equation of crack front motion is proposed. Consideration of this equation as a superposition of a set of recurrent equations for each moment allows us to model the jumping nature of the fatigue crack growth and take into account the history of damage accumulation in the plate material during loading. A numerical solution of the test problem on the fatigue crack propagation in a thin plate made of aluminum alloy 7075-T6 with uniaxial asymmetric cyclic tension-compression is obtained. The constructed dependences of the fatigue crack length on the number of load cycles agree satisfactorily with the experimental data.

Pages of the article in the issue: 89 - 92

Language of the article: Ukrainian

References

GOLUB V.P, PLASHCHINSKAYA A.V. (1994) Fatigue fracture model for thin isotropic plates with cracks in axial loading. International applied mechanics, 30 (7). P. 520-529.

GOLUB V.P, PLASHCHINSKAYA A.V. (2018) On the theory of growth of fatique mode I cracks in thin isotropic plates of finite size under uniaxial tension-compression. International Applied Mechanics, 54 (2). – P. 188-206.

GOLUB V.P., PELYKH V.N., POGREBNYAK A.D. (2010). Prognozirovanie ustalostnoy dolgovechnosti prizmaticheskikh metallicheskikh sterzhney pri asimmetrichnom rastyazhenii-szhatii metodom ekvivalentnykh napryazheniy. Visnyk nacional`nogo tekhnichnogo universytetu Ukrayiny` „KPI”, 58, p. 177-182.

RICE J.R. (1967) Mechanics of crack tip deformation and extension by fatigue. ASTM STP 415, Fatigue Crack Propagation. – P. 247-309.

NEWMAN J.C., JR. (1992) FASTRAN-II – A fatigue crack growth structural analysis program. – NASA-TM-104159. – 103 p.

HUDSON C.M., SCARDINA J.T. (1967). Effect of stress ratio on fatigue-crack growth in 7075-T6 aluminum-alloy sheet. NASA TMX-60125.

No 3 (2021)

Downloads

Published

2021-12-07

How to Cite

Plashchynska, A. V. (2021). On the method of the damage accumulation analysis in front of the fatigue crack in thin plates. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (3), 89–92. https://doi.org/10.17721/1812-5409.2021/3.16

Issue

No. 3 (2021)

Section

Differential equations, mathematical physics and mechanics

License

Authors who publish with this journal agree to the following terms:

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).