Implementation of the Quasi-Brittle Damage Model for 2024 Aluminum Alloy under Periodic Loading

Document Type: Original Article

Authors

1 Department of Mechanical Engineering, University of Bu-Ali Sina, Hamedan, Iran

2 Department of Mechanical Engineering, Shush Branch, Islamic Azad University, Shush, Iran

Abstract

Damage mechanics is one of the most important parts of mechanical engineering that determines the time life for different mechanical elements. The most various models that have been provided so far in damage mechanics, are related to ductile or brittle damage. Nowadays, the investigation of materials by ductile-brittle damage behavior has been considered by researchers. Kintzel quasi-brittle damage model is one of the best damage models in this field. Therefore, in this paper, due to the application of 2024 Al alloy in different industries especially aerospace and the ductile-brittle damage behavior of this alloy, the implementation of the Kintzel quasi-brittle damage model is presented. For this purpose, by writing an explicit user subroutine VUMAT in finite element software (ABAQUS), a test sample under periodic loading has been modeled. The results of this research showed that the complete failure occurs after the 12th cycle under a periodic loading. Also, 2024 Al alloy showed a good ultimate tensile strength (about 400 MPa) under periodic loading. The magnitude of ductile and brittle damage variables are 0.23 and 0.38, respectively.

Keywords

Main Subjects


[1]    Chabanet, O., Steglich, D., Besson, J., Heitmann, V., Hellman, D., and Brocks, W., Predicting Crack Growth Resistance of Aluminium Sheets, Computational Materials Science, Vol. 26, 2003, pp. 1- 12.

[2]    Kachanov, L. M., Time of the Rupture Process Under Creep Conditions, Nank SSR Otd Tech Nauk, Vol. 8, 1958, pp. 26- 31.

[3]    Verhoosel C. V., Remmers J. J., Gutierrez M. A., and Deborst, R., Computational Homogenization for Adhesive and Cohesive Failure in Quasi‚ÄźBrittle Solids, International Journal for Numerical Methods in Engineering, Vol. 83, No. 8-9, 2010, pp. 1155-1179.

[4]    Lemaitre, J., Chaboche, J. L., Mechanics of Solid Materials, 2rd ed, Cambridge University Press, 1994.

[5]    Lemaitre, J., Desmorat, R., Engineering Damage Mechanics: Ductile, Creep, Fatigue and Brittle Failures, Springer Science & Business Media, 2005.

[6]    Lemaitre, J., A Course on Damage Mechanics, Springer Science & Business Media, 2012.

[7]    Gurson, A. L., Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media, Journal of Engineering Materials and Technology, Vol. 99, No. 1, 1977, pp. 2-15.

[8]    Tvergaard, V., Needleman, A., Analysis of the Cup-Cone Fracture in a Round Tensile Bar, Acta Metallurgica, Vol. 32, No. 1, 1984, pp. 157-169.

[9]    Rice, J. R., Tracey, D. M., On the Ductile Enlargement of Voids in Triaxial Stress Fields, Journal of the Mechanics and Physics of Solids, Vol. 17, No. 3, 1969, pp. 201-217.

[10] Quan, G., Heerens, J., and Brocks, W., Distribution Characteristics of Constituent Particles in Thick Plate of 2024 Al-T351, Praktische Metallographie, Vol. 41, No. 6, 2004, pp. 304-313.

[11] Steglich, D., Brocks, W., Heerens, J., and Pardeon, T., Anisotropic Ductile Fracture of Al 2024 Alloys, Engineering Fracture Mechanics, Vol. 75, No. 12, 2008, pp. 3692-3706.

[12] Vyshnevskyy, A., Khan, S., and Mosler, J., An Investigation on Low Cycle Lifetime of Al2024 Alloy, Key Engineering Materials, Vol. 417, 2010, pp. 289-292.

[13] Vyshnevskyy, A., Khan, S., and Mosler, J., Low Cycle Lifetime Assessment of Al2024 Alloy, International Journal of Fatigue, Vol. 32, No. 8, 2010, pp. 1270-1277.

[14] Khan, S., Kintzel, O., and Mosler, J., Experimental and Numerical Lifetime Assessment of Al 2024 Sheet, International Journal of Fatigue, Vol. 37, 2012, pp. 112-122.

[15] Kintzel, O., Khan, S., and Mosler, J., A Novel Isotropic Quasi-Brittle Damage Model Applied to LCF Analyses of Al2024, International Journal of Fatigue, Vol. 32, No. 12, 2010, pp. 1948-1959.

[16] Kintzel, O., Mosler, J., A Coupled Isotropic Elasto-Plastic Damage Model Based on Incremental Minimization Principles, Technische Mechanik, Vol. 30, No. 1-3, 2010, pp. 177-184.

[17] Berto, F., Lazzarin, P., Recent Developments in Brittle and Quasi-Brittle Failure Assessment of Engineering Materials by Means of Local Approaches, Materials Science and Engineering, Vol. 75, 2014, pp. 1-48.

[18] Ren, X., Zeng, S., and Li, J., A Rate-Dependent Stochastic Damage–Plasticity Model for Quasi-Brittle Materials, Computational Mechanics, Vol. 55, No. 2, 2015, pp. 267-285.

[19] Wang, Y., Waisman, H., From Diffuse Damage to Sharp Cohesive Cracks: A Coupled XFEM Framework for Failure Analysis of Quasi-Brittle Materials, Computer Methods in Applied Mechanics and Engineering, Vol. 299, 2016, pp. 57-89.

[20] Riccardi, F., Kishta, E., and Richard, B., A Step-by-Step Global Crack-Tracking Approach in E-FEM Simulations of Quasi-Brittle Materials, Engineering Fracture Mechanics, Vol. 170, 2017, pp. 44-58.

[21] Pereira, L. F., Weerheijm, J., and Sluys, L. J., A Numerical Study on Crack Branching in Quasi-Brittle Materials with a New Effective Rate-Dependent Nonlocal Damage Model, Engineering Fracture Mechanics, Vol. 182, 2017, pp. 689-707.