Abstract
A radial crack emanating from a semi-circular notch is of significant engineering importance. Accurate determination of key fracture mechanics parameters is essential for damage tolerance design and fatigue crack growth life predictions. The purpose of this paper is to provide an efficient and accurate closed-form weight function approach to the calculation of crack surface displacements for a radial crack emanating from a semi-circular notch in a semi-infinite plate. Results are presented for two load conditions: remote applied stress and uniform stress segment applied to crack surfaces. Based on a correction of stress intensity factor ratio, highly accurate analytical equations of crack surface displacements under the two load conditions are developed by fitting the data obtained with the weight function method. It is demonstrated that the Wu-Carlsson closed-form weight functions are very efficient, accurate and easy-to-use for calculating crack surface displacements for arbitrary load conditions. The method will facilitate fatigue crack closure and other fracture mechanics analyses where accurate crack surface displacements are required.
Highlights
In fracture mechanics analysis and fatigue crack growth life predictions for structural components, the strip-yield model [1] have been employed for crack configurations like middle-crack tension [1,2,3,4,5] and compact specimens [6,7,8]
The primary advantage in using this model is that the plastic-zone size and crack surface displacements are obtained by superposition of two elastic problems: a crack in a plate subjected to a remote uniform stress and a uniform stress applied over a segment of the crack surfaces
The motivation of the present paper is to explore an analytical approach, based on the closed-form weight functions, to the calculation of crack surface displacements for a radial crack emanating from a semi-circular notch in a semi-infinite plate
Summary
In fracture mechanics analysis and fatigue crack growth life predictions for structural components, the strip-yield model (modified Dugdale models) [1] have been employed for crack configurations like middle-crack tension [1,2,3,4,5] and compact specimens [6,7,8]. Reference [9] discussed the application of the model to analyze double radial cracks emanating from a circular hole. Crack surface displacements for various load conditions, preferably in analytical form, which are needed in crack-closure-based fatigue crack growth life prediction models and other fracture mechanics analyses, are rarely available. The motivation of the present paper is to explore an analytical approach, based on the closed-form weight functions, to the calculation of crack surface displacements for a radial crack emanating from a semi-circular notch in a semi-infinite plate. The analytical equations of the crack surface displacement can contribute to a more rapid and reliable fatigue crack growth life predictions for a radial crack emanating from a semi-circular notch in a semi-infinite plate. Figure. Crack geometry. (a) A radial crack emanating from a semi-circular notch in a semi-infinite plate. (b) Middle crack in an infinite plate
Sign-in/Register to view highlights & summary 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 callDisclaimer: 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.
