Energy Release Rate in Terms of Complex Analytic Functions.
WATERVLIET ARSENAL N Y
Pagination or Media Count:
The energy release rate for two dimensional cracks subjected to either plane loading or anti-plane shear is most commonly computed by Irwins crack closure method or the path independent integrals used by Rice. In terms of analytic functions of a complex variable, these two approaches give two distinct expressions for the energy release rate. For instance, for plane problem the energy release rate is given in terms of one analytic function using Irwins approach while the same is expressed in terms of two analytic functions by the method of path independent integrals. For special cases, such as Mode I crack, these two expressions lead to identical results. However, the identity for the general case has not been established. In this report we have shown that the expression of energy release rate for plane problem in terms of two analytic functions can be further reduced to the same expression obtained by Irwins method in terms of only one analytic function and that the two distinct expressions of energy release rate for anti-plane problems are identical.
- Solid State Physics