Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 45, Issue 18-19, Pages 4879-4901Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2008.04.020
Keywords
notch; stress distribution; antiplane shear loading; torsion; notch stress intensity factor; strain energy density
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Funding
- EPSRC [EP/F023464/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/F023464/1] Funding Source: researchfish
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Closed-form Solutions are developed for the stress fields induced by circumferential hyperbolic and parabolic notches in axisymmetric shafts under torsion and uniform antiplane shear loading. The boundary Value problem is formulated by using complex potential functions and two different coordinate systems, providing two classes Of solutions. It is also demonstrated that some Solutions of linear elastic fracture and notch mechanics reported ill the literature can be derived as special cases of the general solutions proposed herein. Finally the analytical frame is Used to link the Mode III notch stress intensity factor to the maximum shear stress at the notch tip, as well as to give closed-form expressions for the strain energy averaged over a finite size volume surrounding the notch root. (C) 2008 Published by Elsevier Ltd.
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