Numerical Computation of Maximum Shear Stress Intensity for a Nearly Circular Crack Subject to Shear Loading

  • Koo Lee Feng UPM
  • Nik Mohd Asri Nik Long UPM
  • Eshkuvatov Zainidin K UPM
  • Wong Tze Jin UPM
Keywords: maximum shear intensity, nearly circular crack, conformal mapping, shear load

Abstract

Maximum shear stress intensity for nearly circular cracks subjected to equal and opposite shear stresses are considered. A hypersingular integral equation containing the crack opening displacement is formulated. Conformal mapping technique is employed to transform the obtained hypersingular equation into a similar equation over a circular crack. A suitable collocation points are chosen to reduce the hypersingular integral equation into a system of linear equations. Numerical solution of the linear equations and the corresponding maximum shear intensity is obtained and presented graphically. Our results seem to agree with the existing asymptotic solution.

Author Biographies

Koo Lee Feng, UPM
Department of Basic Science and Engineering, Faculty of Agriculture and Food
Sciences, Universiti Putra Malaysia Bintulu Campus, 97008 Bintulu, Sarawak,
Malaysia.
Nik Mohd Asri Nik Long, UPM
Department of Mathematics and Institute for Mathematical Research,
University Putra Malaysia, 43400 Serdang, Selangor, Malaysia.
Eshkuvatov Zainidin K, UPM
Department of Mathematics and Institute for Mathematical Research,
University Putra Malaysia, 43400 Serdang, Selangor, Malaysia.
Wong Tze Jin, UPM
Department of Basic Science and Engineering, Faculty of Agriculture and Food
Sciences, Universiti Putra Malaysia Bintulu Campus, 97008 Bintulu, Sarawak,
Malaysia.
Published
2012-12-20
How to Cite
Feng, K. L., Nik Long, N. M. A., Zainidin K, E., & Jin, W. T. (2012). Numerical Computation of Maximum Shear Stress Intensity for a Nearly Circular Crack Subject to Shear Loading. Journal of Science and Technology, 4(2). Retrieved from https://publisher.uthm.edu.my/ojs/index.php/JST/article/view/602
Section
Articles