Numerical simulation of damage accumulation and fatigue crack growth in elastic materials

Authors

  • Igor Konstantinovich Korolev Institute for Problems in Mechanical Engineering RAS
  • Sergey Vladimirovich Petinov Institute for Problems in Mechanical Engineering RAS, St.-Petersburg State Polytechnical University
  • Alexander Borisovich Freidin Institute for Problems in Mechanical Engineering RAS

DOI:

https://doi.org/10.7242/1999-6691/2009.2.3.21

Keywords:

damage accumulation, fatigue crack growth, FEM simulation, crack path, mesh type

Abstract

A FEM-based procedure for simulation of fatigue crack growth in the field of progressive damage is developed. A new finite element grid is suggested in this procedure to consider damage accumulation and fatigue crack growth based on a unified point approach. The grid design allows saving information on accumulated damage and «natural» tracing of a growing crack, which is a laborious task in the case of standard FEM-procedures. With application of the proposed grid, the fatigue behavior of a thin rectangular plate with randomly distributed initial defects under cyclic loading conditions is analyzed. Defects in the material structure are modeled by the elements with negligibly small stiffness. Fatigue properties are described by the Basquin equation. The trajectories of growing cracks and damage accumulation in the plate are presented for different phases of fatigue life.

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References

Afanas’ev N.N. Statisticeskaa teoria ustalostnoj procnosti metallov. - Kiev: Izd-vo AN USSR, 1953. - 128s.
Glinka G. A Cumulative model of fatigue crack growth // Int. Journal of Fatigue. - 1982. - V. 4, No 2. - P. 59-67. DOI
Ellyin F, Fakinlede C.O. Probabilistic simulation of fatigue crack growth by damage accumulation // Engineering Fracture Mechanics. - 1985. - V. 22, No 4. - P. 697-712. DOI
Petinov S.V., Letova T.I., Yermolaeva N.S. FEM modeling of the aluminium alloy microplasticity. // Advanced Light Alloys and Composites. NATO ASI Series / Ed. by R. Ciach. - Kluwer Academic Publishers, Dordrecht, 1998. - P. 427-433.
Miner M.A. Cumulative damage in fatigue // Journal of Applied Mechanics. - 1945. - V. 12; Trans. ASME - V. 67. - P. A159-A164.
Basquin O.H. The exponential law of endurance tests // Proc. of ASTM. - 1910. - V. 10, Part II. - P. 625.
Offshore installation: guidance on the design, construction and installation. // UK Department of Energy. - London: HMSO. - 1990. - 536p.
A series of reports on the development of a unified procedure for fatigue design of ship structures // IACS-ABS. - 1996-1998.
Spravocnik po koefficientam intensivnosti naprazenij / Pod red. U. Murakami. - M.: Mir, 1990 - T. 1. - 448s.
Aamodt B. Application of the Finite Element to Fracture Mechanics. // Dep. of Structural Mechanics. - Trondheim, NTH, - 1974. - P. 117.

Published

2009-07-01

Issue

Section

Articles

How to Cite

Korolev, I. K., Petinov, S. V., & Freidin, A. B. (2009). Numerical simulation of damage accumulation and fatigue crack growth in elastic materials. Computational Continuum Mechanics, 2(3), 34-43. https://doi.org/10.7242/1999-6691/2009.2.3.21