Stress Fields and Energy Analysis during the Fracture of Composite Materials

Article Preview

Abstract:

The present study evaluates stress fields, the stress intensity factor and energy release rates at the time of the cracking in a composite material. Our problems are formulated using two materials having different parameters such as the shearing modulus and the Poissons ratio. After having determined the displacement and stress fields, one homogenized the latter in order to allow comparing the results with those of other researchers. During the propagation of the main crack, the surrounding dislocation induces two effects: amplification effect which increases the stress at the main crack-tip and a shielding effect which reduces the propagation of the main crack. Finally, Energy Release Rates (ERR) associated to the different transformation inside the damage zone is evaluated on the basis of the superposition of all energies: the energy due to the main crack, the energy due to the existing dislocation and the energy due to the interaction.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

524-533

Citation:

Online since:

February 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Tong-Yi Zhang, M. Li, Interaction of an edge dislocation with an interfacial Crack, International Journal of Applied Mechanics, Vol. 72, Pages 2226, (1992).

Google Scholar

[2] N. I. Mushkelishvili, Some basic problems of mathematical theory of elasticity, Noordhoff International Publishing, Holland, (1953).

Google Scholar

[3] C. F. Shih and R. J. Asaro, Interaction of semi-infinite interface crack and multiple finite, Journal of Applied Mechanics, Vol. 55, p.299 (1988).

Google Scholar

[4] Z. Suo, Singularities interacting with interface and cracks, Intern. Journal of Solids and Structures, Vol. 25, p.1133 (1989).

Google Scholar

[5] J. Dundurs, In Mathematical Theory of Dislocation, New York, pp.70-115 (1969).

Google Scholar

[6] G. Sih, Handbook of stress intensity factors for researchers and engineers, Institute of Fracture and Solid of Mechanics, Lehigh University, Bethlehem, USA (1973).

Google Scholar

[7] N. Recho, Rupture par fissuration des structures, Vol. 14, p.384, Paris (1995).

Google Scholar

[8] M. Chabaat, S. Djouder & M. Touati: Semi-Empirical Stress Analysis of a Brittle Material in a Vicinity of a Stress Concentrator , International Journal of Applied Mechanics and Materials, Vol. 3-4, pp.243-252, (2005).

DOI: 10.4028/www.scientific.net/amm.3-4.243

Google Scholar

[9] A . Griffith, The phenomena of rupture and flow in solid, Philosophical translation, Royal Soc of London, Series A, Vol. 221, (1920).

Google Scholar

[10] J. Rice, A path-independent integral and the approximate analyses of strain concentration by notches and cracks, Journal of Applied Mechanics, Vol. 35, pp.379-386 (1968).

DOI: 10.1115/1.3601206

Google Scholar

[11] G. Irwin, Analyses of stresses and strains near the end of crack traversing a plate, Journal of Applied Mechanics, Vol. 24 (1957).

DOI: 10.1115/1.4011547

Google Scholar