THE EFFECT OF CRITICAL TRACTION IN COHESIVE ZONE MODEL FOR FATIGUE CRACK GROWTH RETARDATIO

Hendery Dahlan(1*)

(1) Universitas Andalas
(*) Corresponding Author

Abstract

A cohesive zone model for simulation of fatigue crack growth is presented. The cohesive zone model is one of many alternative approaches used to simulate fatigue crack growth. The model incorporates a relationship between cohesive traction and separation in the zone ahead of a crack tip. The model introduces irreversibility into the constitutive relationships by means of damage accumulation with cyclic loading. The traction-separation relationship underpinning the cohesive zone model is not required to follow a predetermined path, but is dependent on irreversibility introduced by decreasing a critical cohesive traction parameter. The approach can simulate fatigue crack growth without the need for re-meshing and caters for single overloading. This study shows the retardation phenomenon occurring in elastic plastic-materials due to single overloading. Increasing the value of critical cohesive traction increases the extent of plastic zone at the crack tip which causes the fatigue crack growth to retard. Plastic materials can generate a significant plastic zone at the crack which is shown to be well captured by the cohesive zone model approach.

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References

Dugdale, D.S. 1960, Yielding of Steel Sheets Containing Slits. Journal of the Mechanics and Physics of Solids, 8, p. 100-108.

Barenblatt, G.I., 1962, The mathematical theory of equilibrium cracks in brittle fracture,. Advance Applied Mechanics, 7, p. 55-129.

Hillerborg, A., Modeer, M., Petersson, P.E.,1976, Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite element. Cement Concrete, 6, p. 773-781.

Siegmund, T., Needleman, A.,1997, A numerical study of dynamic crack growth in elastic-vicoplastic solids. Int. J. Solids Structure, 34, p. 769-787.

Needleman, A.,1990, An analysis of tensile decohesion along an interface. J. Mech. Phys. Solids, 38, p. 289-324. [6] Ortiz, M., Pandolfi, A., 1999, Finite-deformation irreversible cohesive elements for three-dimensional crack propagation analysis. Int. J. Numer. Meth. Eng., 44, p. 12671282.

Nguyen, O., Repetto, E. A., Ortiz, M. and Radovitzky, R. A., 2001, A cohesive model of fatigue crack growth. International Journal Fracture, 110, p. 351-369.

de-Andres, A., Perez, J. L., Ortiz, M., 1999, Elastoplastic Finite element analysis of three dimensional fatigue crack growth in aluminum shafts subjected to axial loading. International Journal of Solids and Structures, 36, p. 2231-2258.

Roe, K., L., Siegmund, T., 2003, an Irreversible Cohesive Zone Model for Interface Fatigue Crack Growth Simulation. Engineering Fracture Mechanics, 70, p.209-232. [10] Siegmund, T., 2004, A numerical study of transient fatigue crack growth by use of an irreversible cohesive zone model. International Journal of Fatigue, 26, p. 929-939. [11] Mohanty, J.R., Verma, B. B., Ray, P. K., 2009, Prediction of fatigue crack growth and residual life using an exponential model: Part II (mode-I overload induced retardation). International Journal of Fatigue, 31, p. 425–432.

Kim, K.S., Kim, S.C., Shim, C.S., & Park, J.Y., 2004, A studying on the effect of overload Ratio on Fatigue Crack Growth. Key Engineering Materials, p. 1159-1168.

Elber, W., 1970, Fatigue crack closure under cyclic tension. Journal Engineering Fracture. Mechanics, 2, p. 37-45. [14] Laverne, J., 2012, CZM cohesive behavior laws and load control, R7.02.11, Code Aster Documentation

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