A unified derivation of crack tip flux integrals and their associated domain representations is laid out in this paper. Using a general balance statement as the starting point, crack tip integrals which are valid for general material response and arbitrary crack tip motion are obtained. Our derivation emphasizes the viewpoint that crack tip integrals are direct consequences of momentum balance. Invoking appropriate restrictions on material response and crack tip motion, leads directly to integrals which are in use in crack analysis. Dissipation integrals are obtained in a similar manner. Our approach provides a framework for the derivation of crack tip integrals and allows them to be viewed from a common perspective. In fact, it will be easy to recognize that every crack tip integrals under discussion can be obtained immediately from the general result by appropriately identifying the terms in the general flux tensor.
|Original language||English (US)|
|Number of pages||15|
|Journal||American Society of Mechanical Engineers, Applied Mechanics Division, AMD|
|State||Published - 1988|
ASJC Scopus subject areas
- Mechanical Engineering