Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-24T02:46:01.310Z Has data issue: false hasContentIssue false
  • English
  • Français

Closed form Solution for Degenerate Scale Problem of Joukowcki Airfoil Configuration in Antiplane Elasticity

Published online by Cambridge University Press:  01 May 2013

Y. Z. Chen
Y. Z. Chen*
Affiliation:
Division of Engineering Mechanics, Jiangsu University, Zhenjiang, Jiangsu, P. R. China
*
*[email protected]
Get access

Abstract

This paper provides a closed form solution for degenerate scale problem of the Joukowcki thin airfoil configuration in antiplane elasticity. The solution depends on a conformal mapping function for the Joukowcki thin airfoil configuration.

Keywords

Degenerate scaleAntiplane elasticityIllness boundary value condition
Type
Technical Note
Information
Journal of Mechanics , Volume 29 , Issue 4 , December 2013 , pp. N21 - N23
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Chen, J. T., Lin, J. H., Kuo, S. R. and Chiu, Y. P., “Analytical Study and Numerical Experiments for Degenerate Scale Problems in Boundary Element Method Using Degenerate Kernels and Circulants,” Engineering Analysis with Boundary Elements, 25, pp. 819–828 (2001).Google Scholar
2.Chen, J. T., Kuo, S. R. and Lin, J. H., “Analytical Study and Numerical Experiments for Degenerate Scale Problems in the Boundary Element Method of Two-dimensional Elasticity,” International Journal for Numerical Methods in Engineering, 54, pp. 1669–1681 (2002).Google Scholar
3.Chen, J. T., Lee, C. F., Chen, I. L. and Lin, J. H., “An Alternative Method for Degenerate Scale Problems in Boundary Element Methods for the Two-dimensional Laplace Equation,” Engineering Analysis with Boundary Elements, 26, pp. 559–569 (2002).CrossRefGoogle Scholar
4.Chen, J. T., Lin, S. R. and Chen, K. H., “Degenerate Scale Problem When Solving Laplace's Equation by BEM and Its Treatment,” International Journal for Numerical Methods in Engineering, 62, pp. 233–261 (2005).Google Scholar
5.Vodicka, R. and Mantic, V., “On Invertibility of Elastic Single-layer Potential Operator,” Journal of Elasticity, 74, pp. 147–173 (2004).Google Scholar
6.Chen, Y. Z., Lin, X. Y. and Wang, Z. X., “Evaluation of the Degenerate Scale for BIE in Plane Elasticity and Antiplane Elasticity by Using Conformal Mapping,” Engineering Analysis with Boundary Elements, 33, pp. 147–158 (2009).Google Scholar
7.Chen, Y. Z., Lin, X. Y. and Wang, Z. X., “Degenerate Scale Problem for Plane Elasticity in a Multiply Connected Region with Outer Elliptic Boundary,” Archives of Applied Mechanics, 80, pp. 1055–1067 (2010).Google Scholar
8.Schinzinger, R. and Laura, P. A. A., Conformal Mapping: Methods and Applications, Dover Publications, New York (2003).Google Scholar