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All Theses

2010

Crack parallel to interface

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Determination Of Higher Order Coefficients For A Crack Parallel To An Interface, Venkata Lakshman Kolluru Aug 2010

Determination Of Higher Order Coefficients For A Crack Parallel To An Interface, Venkata Lakshman Kolluru

All Theses

A general method based on the singular integral equations is developed to
computationally determine the higher order coefficients in mixed mode fracture
mechanics. These 'k' and 'T' coefficients are defined with respect to a polar coordinate
system centered at a crack tip, and give asymptotic expressions for stresses and
displacements according to the William's eigenfunction expansions,
(r, ) (2r) k f (n, ) k f (n, ) IIk
ij
II
n
Ik
ij
I
n
n 0
2
1
n
ij      



1
(0, ) (2 ) ( , ) ( , …