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Coupling of Thermal and Mechanical Phenomena by Boundary Conditions in Numerical Modelling of Solidifying Castings

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Parallel Processing and Applied Mathematics (PPAM 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2328))

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Abstract

The paper deals with an approach to modelling of some thermo-mechanical phenomena in solidifying castings. Mathematical and numerical models of heat conduction and solid phase growth, as well as models of stress formation due to thermal loading and due to interactions between a casting and a mould are shown. The finite element method (FEM) is applied for building numerical models. The need for taking into account the thermal resistance of air gaps arising between the casting and the mould in thermal and mechanical computations is exposed. A simple solution of this problem consisting in coupling by boundary conditions of thermal and mechanical problems is proposed. Results of computer simulations carried out for 2D examples are presented.

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References

  1. Crisfield, M.A.: Non-linear finite element analysis of solids an structures. John Wiley & Sons, Chichester (1991).

    Google Scholar 

  2. Dalhuijsen, A.J., Segal, A.: Comparison of finite element techniques for solidification problems. Int. J. Numer. Meth. Engng. 23 (1986), 1807–1829

    Article  MATH  Google Scholar 

  3. Huang, H., Usmani, A. S.: Finite Element Analysis for Heat Transfer. Theory and Software. Springer-Verlag, London (1994)

    Google Scholar 

  4. Sczygiol, N.: Approaches to enthalpy approximation in numerical simulation of two-component alloy solidification. Computer Assisted Mechanics and Engineering Sciences 7 (2000) 717–734

    MATH  Google Scholar 

  5. Sczygiol, N., Szwarc, G.: Application of enthalpy formulations for numerical simulation of castings solidification. Computer Assisted Mechanics and Engineering Sciences 8 (2001) 99–120

    MATH  Google Scholar 

  6. Wood, W. L.: Practical time-stepping schemes. Clarendon Press, Oksford (1990)

    MATH  Google Scholar 

  7. Wyrzykowski, R, Sczygiol, N., Olas, T., Kanevski, J.: Parallel Finite Element Modelling of Solidification Processes. Lecture Notes in Computer Science 1557 (1999), 183–195

    Google Scholar 

  8. Zienkiewicz, O. C., Morgan, K.: Finite Elements and Approximation. John Wiley & Sons, New York (1983)

    MATH  Google Scholar 

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Authors and Affiliations

  1. Institute of Mechanics and Machine Design, Technical University of Częstochowa, Dabrowskiego 73, 42-200, Częstochowa, Poland

    Arkadiusz Nagórka, Norbert Sczygiol & Grzegorz Szwarc

Authors
  1. Arkadiusz Nagórka
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  2. Norbert Sczygiol
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  3. Grzegorz Szwarc
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Editor information

Editors and Affiliations

  1. Institute of Mathematics and Computer Science, Technical University of Czestochowa, Dabrowskiego 73, 42-200, Czestochowa, Poland

    Roman Wyrzykowski

  2. Computer Science Department, University of Tennessee, 122 Volunteer Blvd, Knoxville, TN, 37996-3450, USA

    Jack Dongarra

  3. Computer Science Department, Oklahoma State University, 700 N. Greenwood Ave., Tulsa, OK, 74106, USA

    Marcin Paprzycki

  4. DTU, UNI-C, Danish Computing Centre for Research and Education, Bldg. 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2002 Springer-Verlag Berlin Heidelberg

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Nagórka, A., Sczygiol, N., Szwarc, G. (2002). Coupling of Thermal and Mechanical Phenomena by Boundary Conditions in Numerical Modelling of Solidifying Castings. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2001. Lecture Notes in Computer Science, vol 2328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48086-2_79

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  • DOI: https://doi.org/10.1007/3-540-48086-2_79

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43792-5

  • Online ISBN: 978-3-540-48086-0

  • eBook Packages: Springer Book Archive

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