To the modelling of the fatigue cracks propagation in a thin isotropic plates under biaxial asymmetric tension-compression

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DOI:

https://doi.org/10.17721/1812-5409.2019/1.35

Abstract

The modelling of the fatigue fracture process of the thin isotropic infinite plates with cracks under external biaxial asymmetric cyclic loading is considered. The solution of the problem is based on the joint consideration of the fracture mechanics and continuous damage mechanics concepts and using two types of equivalent stress criteria’s. The first one reduces an asymmetrical cyclic load to the equivalent symmetric cyclic load in time of the rupture. The second one reduces a plane stress state in the vicinity of the top crack to a single-axial one. The obtained system of equations of the model a relatively equivalent stress intensity factor allows us to determine the duration of the incubation stage and the rate of fatigue crack propagation in plates with different stress concentrators. The calculated dependences of the crack length, which extends from the circular hole, from the number of load cycles in the infinite aluminum plate with a circular hole at the variation of the parameters of the asymmetrical cycle and the coefficient of the biaxiality loading are constructed.

Key words: fatigue crack, biaxial asymmetric cyclic loading, damage.

Pages of the article in the issue: 154-157

Language of the article: Ukrainian

References

GOLUB, V.P. and PLASHСHYNSKA, A.V. (1994) Model` ustalostnogo razrusheniya tonkikh izotropnykh plastin s treshсhinamy pri osevom nagruzhenii Prikl. Mehkanika. 30(7). p. 53-63.

GOLUB, V.P., PELYKH, V.N. and POGREBNYAK, A.D. (2010) Prognozirovanie ustalostnoj dolgovechnosti prizmaticheskikh metallicheskikh sterzhnej pri asimmetrichnom rastyazhenii-szhatii metodom ekvivalentnykh napryazheniy. Visnyk NTUU «KPI». Mashynobuduvannya. 58. p. 177-182.

TANAKA, K. (1974) Fatigue crack propagation from a crack inclined to the cyclic tensile axis. Eng. Fract. Mech. 6. p. 493-507.

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

EFTIS, J. and SUBRAMONIAN, N. (1978) The inclined crack under biaxial load. Eng. Fract. Mech. 10. p.43-67.

KAMINSKYJ, A.A. (1982) Khrupkoe razrushenie vblizi otverstij. Kyiv: Naukova dumka.

No 1 (2019)

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How to Cite

Plashchynska, A. (2019). To the modelling of the fatigue cracks propagation in a thin isotropic plates under biaxial asymmetric tension-compression. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (1), 154–157. https://doi.org/10.17721/1812-5409.2019/1.35

Issue

No. 1 (2019)

Section

Differential equations, mathematical physics and mechanics

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