THE FINITE DIFFERENCE METHOD APPLIED TO THE 1D THERMOELASTIC PROBLEM

Authors

  • Márcio Heron da Silveira Jr.
  • Carlos Eduardo Piaz
  • Janderson Cislinski
  • Adelcio Marciniak
  • Diego Sorg Jurgensen
  • Marcos Antônio Melo
  • Orestes Hacke
  • Mateus Rauen

DOI:

https://doi.org/10.26512/ripe.v2i26.20779

Keywords:

Finite Difference Method. Heat Conduction. Thermoelasticity. Experiment.

Abstract

In this paper the analytical and numerical solution are obtained for the problem of heating a metal bar by heat conduction in steady state at one of it’s ends. Initially the analytical solution for each variable of interest (displacements, strains and stresses) is demonstrated, as well as the temperature distribution. Then, numerical approximations are performed using the Finite Difference Method for uniform grids, which obtain the numerical solutions of the variables of interest with their respective error of discretization. It is also performed an experiment in the laboratory where the displacements, strains and temperature distribution is verified. Finally, the error generated by the Finite Difference Method is verified comparing the numerical solutions with the analytical and the experimental results

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References

Hacke, O., 2006.Verificação de Soluções Numéricas de Problemas Termoelásticos em Malhas Uniformes. Master Thesis. Universidade Federal do Paraná.

Incropera. F.P. and De-Witt, D.P., 1996 Fundamentals of Heat and Mass Transfer. John Wiley & Sons.

Hibbeler, R.C., 2010. Resistência dos Materiais. Pearson.

Tipler, P.A.; Mosca, G., 2008. Physics for Scientists and Engineers, Volume 1 (6th ed.). New York, NY: Worth Publishers.

Strickwerda, J. C., 1989. Finite Difference Schemes and Partial Differential Equations, Chapman & Hall.

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Published

2017-02-10

How to Cite

da Silveira Jr., M. H., Piaz, C. E., Cislinski, J., Marciniak, A., Jurgensen, D. S., Melo, M. A., … Rauen, M. (2017). THE FINITE DIFFERENCE METHOD APPLIED TO THE 1D THERMOELASTIC PROBLEM. Revista Interdisciplinar De Pesquisa Em Engenharia, 2(26), 53–57. https://doi.org/10.26512/ripe.v2i26.20779

Issue

Vol. 2 No. 26 (2016): UNDERGRADUATE POSTER SESSION (II)

Section

Artigos

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