CRACK PROPAGATION LAWS CORRESPONDING TO A GENERALIZED EL HADDAD EQUATION

Crack Propagation Laws Corresponding to a Generalized EL Haddad Equation
M. Ciavarella

International Journal of Aerospace and Lightweight Structures (IJALS)

Editor-In-Chief
Tiejun WANG, Xi'an Jiaotong University, China

Editors
K. J. BADCOCK, University of Liverpool, UK
Daining FANG, Peking University, China
Zishun LIU, Institute of High Performance Computing, Singapore

ISSN: 2010-4286 (Print)
ISSN: 2010-4294 (Online)

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Volume: 1, Issue: 1 (2011) 

The El Haddad equation permits to deal simply with both short and long cracks, and we

have recently suggested a generalization for finite life, defining a “finite life intrinsic crack

size”, as a power law of number of cycles to failure. Here, we derive the corresponding

crack propagation law, finding that it shows features similar to Paris’ law in the limit of

long cracks, but shows some dependence of the “equivalent” C,m Paris’ material’s “con-

stants” with applied stress range. The increase of crack propagation speed is obtained

for short cracks, but additional size effects are derived, which may require quantitative

validation, and correspond to the intrinsic difference with respect to the standard Paris’

law.