Westergaard Method for a Periodic Array of Cracks Under Concentrated Forces
Chapter
Abstract
Consider an infinite periodic array of equally spaced cracks along the x-axis with each crack subjected to a pair of concentrated forces at the center of the crack (Figure 1). Verify that the Westergaard function is
$$
{{\rm Z}_{\rm I}} = \frac{{{\rm P}\sin \left( {\pi a/W} \right)}}{{W{{\left( {\sin \left( {\pi z/W} \right)} \right)}^2}}}{\left[ {1 - {{\left( {\frac{{\sin \left( {\pi a/W} \right)}}{{\sin \left( {\pi z/W} \right)}}} \right)}^2}} \right]^{ - 1/2}}
$$
(1)
Keywords
Stress Intensity Intensity Factor Fracture Mechanics Stress Intensity Factor Equilibrium Equation
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References
- [1]E.E. Gdoutos (1993) Fracture Mechanics — An Introduction, Kluwer Academic Publishers, Dordrecht, Boston, London.Google Scholar
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© Springer Science+Business Media Dordrecht 2003