Parametric Modelling of Rousselier ́s Damage Model Parameters with Instrumented Charpy Tests

Article Preview

Abstract:

This work presents Rousselier´s damage model parameters effect and their physical meaning on Charpy fracture propagation curves. Therefore, instrumented Charpy tests were performed at room test temperature to measure the load-displacement curve. The parameters were measured from a Grade A ship plate steel, employed for the construction of merchant ships. The effect of Rousselier´s model parameter was done by performing cellular automata finite element (CAFE) modelling, where Rousselier’s damage model was coded, and therefore Rousselier´s model parameters were incorporated using random number generators in the ductile arrays of cells, using Weibull distributions. Consequently, in each CAFE simulation, the model evaluates random values of Rousselier´s damage model parameters performing a more physically based modelling. The results showed that the present CAFE modelling was able to reproduce the hardening and fracture propagation regions of instrumented Charpy data. Furthermore, the present work showed a suitable Rousselier´s damage model parameters calibration procedure with Charpy data, and how each Rousselier´s model parameter can affect the hardening and fracture propagations regions when they are not properly calibrated, producing unrealistic results. Additionally, it can be observed that the present results can be used as a template for a better calibration of Rousselier´s damage model parameters in CAFE modelling.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

39-58

Citation:

Online since:

September 2023

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2023 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] G. Rousselier, Finite deformation constitutive relations including ductile fracture damage. Three dimensional constitutive relations and ductile fracture, Amsterdam North-Holland, (1981) 331-355.

DOI: 10.1016/b978-1-4832-8440-8.50105-8

Google Scholar

[2] G. Rousselier, J. C. Devaux, G. Mottel, G. Devesa, Nonlinear fracture mechanics ASTM, Elastic Plastic Fracture, Vol. II (1983).

DOI: 10.1520/stp27716s

Google Scholar

[3] G. Rousselier, Ductile fracture models and their potential in local approach of fracture, Nuclear Engineering and Design, 105 (1987) 97-111.

DOI: 10.1016/0029-5493(87)90234-2

Google Scholar

[4] G. Rousselier, J. C. Devaux, G. Mottel, G. Devesa, A methodology of ductile fracture analysis based on damage mechanics: an illustration of a local approach of fracture, Nonlinear Fracture Mechanics: Volume II - Elastic Plastic Fracture, ASTM STP 995, Philadelphia, (1989) 332-354.

DOI: 10.1520/stp27716s

Google Scholar

[5] M.K. Samal, On the application of Rousselier´s damage model to predict fracture resistance behavior of Zircaloy fuel pin specimens, Procedia Engineering 55 (2013) 710 – 715

DOI: 10.1016/j.proeng.2013.03.319

Google Scholar

[6] S. Arun, Finite element modelling of fracture & damage in austenitic stainless steel in nuclear power plant, PhD. Thesis, Faculty of Engineering and Physical Sciences, University of Manchester (2015)

Google Scholar

[7] A. Shterenlikht, 3D CAFE modelling of transitional ductile-brittle fracture in steels, PhD Thesis, Department of mechanical engineering, University of Sheffield (2003).

Google Scholar

[8] S.J. Wu, C.L. Davis, A. Shterenlikht, I.C. Howard, Modeling the ductile-brittle transition behavior in thermomechanically controlled rolled steels, Metallurgical and Materials Transactions A., 36A (2005) 989-997.

DOI: 10.1007/s11661-005-0292-z

Google Scholar

[9] A. Shterenlikht, I. C. Howard, The CAFE model of fracture - application to a TMCR steel, Fatigue Fract Engng Mater Struct, 29 (2006) 770-787.

DOI: 10.1111/j.1460-2695.2006.01031.x

Google Scholar

[10] R. Cuamatzi-Melendez, 3D Cellular Automata Finite Element modelling of ductile and cleavage fracture PH Thesis, Department of Mechanical Engineering, University of Sheffield (2008).

Google Scholar

[11] A. Shterenlikht, I. C. Howard, Cellular automata finite element (CAFE) modelling of transitional ductile-brittle fracture in steel, Proceedings of the 15th European Conference of Fracture (2015).

Google Scholar

[12] A. Shterenlikht, L. Margetts, Three-dimensional cellular automata modelling of cleavage propagation across crystal boundaries in polycrystalline microstructures, The Royal Society Publishing A471 (2015).

DOI: 10.1098/rspa.2015.0039

Google Scholar

[13] A. Shterenlikht, L. Margetts, L. Cebamanos, Modelling fracture in heterogeneous material on HPC system using a hybrid MPI/Fortran coarray multi-scale CAFE framework, Advances in Engineering Software Vol. 125 (2018) 155-166.

DOI: 10.1016/j.advengsoft.2018.05.008

Google Scholar

[14] L. Yang, A. Shterenlikht, X. Renc, J. Hea, Z. Zhanga, CAFE based multi-scale modelling of ductile-to-brittle transition of steel with a temperature dependent effective surface energy, Materials Science & Engineering A, 755 (2019) 220–230.

DOI: 10.1016/j.msea.2019.04.012

Google Scholar

[15] S. Hewitt, L. Margetts, A. Shterenlikht, A. Revell, A massively parallel multiscale CAFE framework for the modelling of fracture in heterogeneous materials under dynamic loading, Advances in Engineering Software Vol. 139 (2020) 102737.

DOI: 10.1016/j.advengsoft.2019.102737

Google Scholar

[16] L. Yang, P. Sakari, R. Xiaobo, H. Jianying, K. Jukka, Z. Zhang, A multi-barrier model assisted CAFE method for predicting ductile-to-brittle transition with application to a low-carbon ultrahigh-strength steel, Mechanics of Materials, 152 (2021) 103669.

DOI: 10.1016/j.mechmat.2020.103669

Google Scholar

[17] K. Teferra, D. J. Rowenhorst, Optimizing the cellular automata finite element model for additive manufacturing to simulate large microstructures, Acta Materialia (2021) 1-35.

DOI: 10.1016/j.actamat.2021.116930

Google Scholar

[18] A. Balasubramanian, L. Margetts, V. D. Vijayanand, M. Mostafavi, Statistical modeling of fracture using cellular automata finite element, Theoretical and Applied Fracture Mechanics Vol. 115 (2021) 103066.

DOI: 10.1016/j.tafmec.2021.103066

Google Scholar

[19] L. C. Pereira, J. C. Garcia de Blas, S. Griza, F. A. Ibrahim, Use of instrumented Charpy testing on the fracture toughness characterization of metallic materials, Tecnol Metal Mater Min 18 (2021).

DOI: 10.4322/2176-1523.20212469

Google Scholar

[20] F. Vodopivec, B. Arzensek, D. Kmetic, J. Vojvodic-Tuma, In the Charpy fracturing process, Materiali in Tehnologije, 37 (2003) 317-326.

Google Scholar

[21] EN ISO 14556:200 British Standard, Method for precision determination of Charpy V-notched impact energy for metals, BS131-6 (1987).

Google Scholar

[22] J. Faleskog, C.F. Shih, Micromechanics of coalescence - I. Synergetic effects of elasticity, plastic yielding and multi-size-scale voids, Journal of the Mechanics and Physics of Solids, 45 (1997) 21-50.

DOI: 10.1016/s0022-5096(96)00078-6

Google Scholar

[23] A.G. Franklin, Comparison between a quantitave microscopic and chemical methods for assessment of nonmetallic inclusions, J. Iron and Steel Institute, 207 (1969) 181-186.

Google Scholar

[24] R. Batisse, G. Bethmont, G. Devesa, G. Rousselier, Ductile fracture of a 508 Cl 3 steel in relation with inclusion content: The benefit of the local approach of fracture and continuum damage mechanics, Nuclear Engineering and Design, 105 (1987) 113-120.

DOI: 10.1016/0029-5493(87)90235-4

Google Scholar

[25] J. Von Newmann, Theory of self-reproducing automata, University of Illinois Press (1966).

Google Scholar

[26] Palisade, @RISK, The decision tools suite, URL: https://www.palisade.com/ (2007).

Google Scholar

[27] G. Bernaur, W. Brocks, Micro-mechanical modelling of ductile damage and tearing - results of European numerical round robin, Fatigue Fract Engng Mater Struct, 25 (2001) 363-384.

DOI: 10.1046/j.1460-2695.2002.00468.x

Google Scholar

[28] Z. H. Li, B. Bilby, I. C. Howard, A study of the internal parameters of ductile damage theory, Fatigue Fract Engng Mater Struct, 17 (1994) 1075-1087.

DOI: 10.1111/j.1460-2695.1994.tb00836.x

Google Scholar