An Exact Analytical Solution for Star-Shaped Cracks

Article Preview

Abstract:

Using the method of complex analysis and by constructing conformal mapping, the study investigates the plane elasticity problem of star-shaped cracks and provides an analytical solution for the stress intensity factor (SIF) of crack-tip type I and II. Problems of the classic Griffith crack, the cross-shaped crack, concurrent uniformly distributed three-cracks and symmetrical eight-cracks are also simulated.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

458-463

Citation:

Online since:

March 2015

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2015 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] N. Hacebe, K. Yoshikawa, M. ueda, and T. Nakamura: Archive of Applied Mechanics Vol. 64 (1994), pp.295-306.

Google Scholar

[2] Yunyun Zeng: The complex variable method for solving the circular arc crack problem (Beijing Institute of Technology, Beijing 2006).

Google Scholar

[3] Huaimin Guo, Guanting Liu, and Jiandong Pi: Acta Mechanica Solida Sinica Vol. 28 (2007), pp.308-312 (in Chinese).

Google Scholar

[4] Junhong Guo, Guanting Liu: Acta Mechanica Sinica Vol. 39 (2007), pp.699-703 (in Chinese).

Google Scholar

[5] Zhilun Xu: Elastic Mechanics (Higher Education Press, Beijing 1990).

Google Scholar

[6] Tianyou Fan: Foundation of Fracture Theory (Science Press, Beijing 2003).

Google Scholar

[7] Tada H, Paris P C, and Irwin G R: The Stress Analysis of Cracks Handbook (Del Research. Corporation, Pennsylvania 1973).

Google Scholar

[8] Griffith A A: Philosophical Transactions of the Royal Society of London, Sereis A Vol. 221 (1921), pp.163-198.

Google Scholar