Hostname: page-component-8448b6f56d-gtxcr Total loading time: 0 Render date: 2024-04-20T02:38:14.767Z Has data issue: false hasContentIssue false
  • English
  • Français

Study of Semi-Infinite Crack in a Sandwiched Orthotropic Strip

Published online by Cambridge University Press:  27 February 2020

Anuwedita Singh ,
S. Das  and
E-M. Craciun
Anuwedita Singh
Affiliation:
Department of Mathematical Sciences, Indian Institute of Technology(BHU), Varanasi-221005, India
S. Das*
Affiliation:
Department of Mathematical Sciences, Indian Institute of Technology(BHU), Varanasi-221005, India
E-M. Craciun
Affiliation:
Faculty of Mechanical, Industrial and Maritime Engineering, Ovidius University of Constanta, Bd. Mamaia 124, 900527, Romania
*
*Corresponding author (sdas.apm@itbhu.ac.in)
Get access

Abstract

The problem of semi-infinite crack situated in an orthotropic strip sandwiched between two identical half planes has been considered. The considered boundary value problem has been solved to convert it into the standard Wiener-Hopf equation by using Fourier transform technique, which has been solved to obtain analytical expressions for stress intensity factor and crack opening displacement. The variations of stress intensity factors and crack opening displacement are displayed graphically for different pair of orthortropic materials and for various depth of the strip of the composite media.

Keywords

Semi-infinite crackorthotropic composite mediastress intensity factorcrack opening displacement
Type
Research Article
Information
Journal of Mechanics , Volume 36 , Issue 2 , April 2020 , pp. 149 - 158
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

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

Irwin, G.R., “Analysis of stress and strain near the end of the crack traversing a plate,” ASME Journal of Applied Mechanics, 24, pp. 351–369 (1957).Google Scholar
Das, S., Debnath, L., “Interaction between Griffith cracks in a sandwiched orthotropic layer,” Applied Mathematics and Letters, 16, pp. 609–617 (2003).CrossRefGoogle Scholar
Lira-Vergara, E., Rubio-Gonzalez, C., “Dynamic stress intensity factor of interfacial finite cracks in orthotropic materials,” International Journal of Fracture, 135, pp. 285–309 (2005).CrossRefGoogle Scholar
Zhaung, L., Talreja, R., Vama, J., “Transverse crack formation in unidirectional composites by linking of fibre/matrix debond cracks,” Composites Part A: Applied Science and Manufacturing, 107, pp. 294–303 (2018).CrossRefGoogle Scholar
Abrahams, I. D., Lawrie, J.B., Scattering of flexural waves by a semi-infinite crack in an elastic plate carrying an electric current, Mathematics and Mechanics of Solids, 17, pp. 43–58 (2012).CrossRefGoogle Scholar
LU, N. C., Cheng, Y.H., Li, X. G., Cheng, J., “Dynamic propagation problem of mode-I semiinfinite crack subjected to superimpose loads,” Fatigue and Fracture of Engineering Materials and Structures, 33, pp. 141–148 (2009).CrossRefGoogle Scholar
Thompson, I., Abrahams, I.D., “Diffraction of flexural waves by cracks in orthotropic thin elastic plates. I Formal solution,” Proceedings of The Royal Society A., 461, pp. 3413–3436 (2005).CrossRefGoogle Scholar
Nilsson, F., “Dynamic stress intensity factors for finite strip problems,” International Journal of Fracture, 8, pp. 403–411 (1972).Google Scholar
Nilsson, F., Erratum to “Dynamic stress intensity factors for finite strip problems,” International Journal of Fracture, 9, pp. 477 (1973).Google Scholar
Georgiadis, H.G., Papadopoulos, G.A., “Determination of SIF in a cracked plane orthotropic strip by Wiener-Hopf technique,” International Journal of Fracture, 34, pp. 57–54 (1987).Google Scholar
Georgiadis, H.G., Papadopoulos, G. A., “Cracked orthotropic strip with clamped boundaries,” Journal of Applied Mathematics and Physics, 39, pp. 573–578 (1988).Google Scholar
Wang, C.Y., Rubio-Gonzalez, C., Mason, J. J., “The dynamic stress intensity factor for a semi-infinite crack in orthotropic materials with concentrated shear impact loads,” International Journal of Solids and Structures, 38, pp. 1265–1280 (2001).CrossRefGoogle Scholar
Carrier, G. F., Krook, M., Pearson, C. E., “Functions of Complex Variable,” McGraw Hill, New York (1966).Google Scholar
Noble, B., “Methods based on Wiener-Hopf technique”, Pergamon Press, New York (1958).Google Scholar
Basak, P., Mandal, S.C., “Semi-infinite moving crack in an orthotropic strip,” International Journal of Solids and Structures, 128, pp. 221–230 (2017).CrossRefGoogle Scholar
Itou, S., “Dynamic stress intensity factors around two coplanar Griffith cracks in an orthotropic layer sandwiched between two elastic half planes,” Engineering Fracture Mechanics, 34, pp. 1085–1095 (1989).CrossRefGoogle Scholar