Abstract

Abstract A new method is proposed for the analysis of an elastic space weakened by a flat crack of arbitrary shape under the action of a uniform normal pressure. The method is based on an integral representation for the reciprocal distance between two points obtained earlier by the author. A simple but yet accurate relationship is established between the crack face displacements and the applied pressure for an arbitrary flat crack. Specific formulae are derived for a crack in the shape of a polygon, a rectangle, a rhombus, a cross, a circular sector and a circular segment. All the formulae are checked against the solutions known in the literature, and their accuracy is confirmed. A similar approach can be used for the analysis of a crack under a general polynomial loading.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.