Crack tip integrals and domain integral representations for three-dimensional crack problems

C. F. Shih*, B. Moran, T. Nakamura

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

7 Scopus citations


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 languageEnglish (US)
Pages (from-to)125-139
Number of pages15
JournalAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
StatePublished - 1988
Externally publishedYes
EventThe Joint ASME/SES Applied Mechanics and Engineering Sciences Conference - Berkeley, CA, USA
Duration: Jun 20 1988Jun 22 1988

ASJC Scopus subject areas

  • Mechanical Engineering


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