Multi-scale CAFE Modelling for Hot Deformation of Aluminium Alloys

  • M. F. Abbod
  • I. C. Howard
  • D. A. Linkens
  • M. Mahfouf
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3991)


The multi-Scale CAFE modelling system utilises Cellular Automata, Finite Elements and a Hybrid Modelling technique which combines neuro-fuzzy models and physical equations to simulate hot deformation of Al-1%Mg aluminium alloys using the commercial finite element software package ABAQUSTM. This paper addresses the issue of capturing microstructural details and providing macro linkage by simulating two phenomena. The first defines a suitable length scale such that numerical models are sufficient in detail and are appropriate in terms of computational time. The second is the feasibility using Cellular Automata (CA) as an additional technique that can be used in conj-unction with a conventional Finite Elements (FE) representation to model material heterogeneity and related properties. This is done by identifying an abstract scale in between the micro and macro scales, termed the “mesoscale” to obtain a multi-scale CAFE modelling technique that utilises the CA technique to represent initial and evolving microstructural features at an appropriate length obtained using an overlying FE mesh.


Aluminium Alloy Cellular Automaton Cellular Automaton Plane Strain Compression Microstructural Detail 
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  1. 1.
    Beynon, J.H., Das, S., Howard, I.C., Palmiere, E.J., Chterenlikht, A.: The Combination of Cellular Automata and Finite Elements for the Study of Fracture: The CAFE Model of Fracture. In: 14th European Conference on Fracture - ECF 14, Cracow, Poland (2002)Google Scholar
  2. 2.
    Busso, E.P.: A Continuum Theory for Dynamic Recrystallisation with Icrostructure-Related Length Scales. International Journal of Plasticity 14(4-5), 319–353 (1998)MATHCrossRefGoogle Scholar
  3. 3.
    Dutta, K.: Finite Element Modelling of Hot Rolling. PhD Thesis. The University of Sheffield (1996)Google Scholar
  4. 4.
    Jonas, J.J., Sellars, C.M., McG Tegart, W.J.: Strength and Structure Under Hot Working Conditions. Metallurgical Reviews 130, 1–24 (1969)Google Scholar
  5. 5.
    Marthinsen, K., Nes, E.: A General Model for Metal Plasticity. Material Science and Engineering A234-236, 1095–1098 (1997)CrossRefGoogle Scholar
  6. 6.
    Sellars, C.M., Whiteman, J.A.: Recrystallisation and Grain Growth in Hot Rolling. Metal Science, 187–194 (1979)Google Scholar
  7. 7.
    Zhu, Q., Abbod, M.F., Talamantes-Silva, J., Sellars, C.M., Linkens, D.A., Beynon, J.H.: Hybrid Modelling of Aluminium-Magnesium Alloys During Thermomechanical Processing in Terms of Physically-Based, Neuro-Fuzzy and Finite Elements Models. Acta. Mat. 51, 5051–5062 (2003)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • M. F. Abbod
    • 1
    • 4
  • I. C. Howard
    • 3
    • 4
  • D. A. Linkens
    • 2
    • 4
  • M. Mahfouf
    • 2
    • 4
  1. 1.School of Engineering and DesignBrunel UniversityUxbridgeUK
  2. 2.Department of Automatic Control and Systems EngineeringUniversity of SheffieldSheffield
  3. 3.Department of Mechanical EngineeringUniversity of SheffieldSheffieldUK
  4. 4.IMMPETUS Institute for Microstructural and Mechanical Process EngineeringThe University of Sheffield 

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