Paper online: An improved semi-analytical solution for stress at round-tip notches (Engineering Fracture Mechanics)

Liu, M., Gan, Y., Hanaor, D., Liu, B., and Chen, C. (2015) An improved semi-analytical solution for stress at round-tip notches. Engineering Fracture Mechanics149, 134-142. [DOI]

Abstract: In order to investigate the brittle failure of key-hole-notched components, the stress distribution at notch tips is studied numerically and theoretically. A semi-analytical formula is developed for the maximum notch-tip-stress, incorporating crack-tip-blunting, stress-concentration and stress-equilibrium. Stress distributions in notched plates are simulated by the finite-element method, showing improved accuracy of the formula relative to established solutions. Application of the developed equation to components containing U-notches and blunt V-notches, is explored, demonstrating its broad applicability. When combined with stress-based failure criteria, the semi-analytical model can be employed to assess brittle failure in notched components with significance toward fracture in heterogeneous materials.

Keywords: Key-hole notches; Crack tip blunting; Stress concentration; Stress equilibrium; Failure criterion


Figure: (a) Standard crack (black solid line) and Key-hole notch (red dash line) together with their Cartesian coordinate system; and (b) the tip stress distributions along the bisector for the crack (black solid line) and notch (red dot-dash line). (For interpretation of the references to color in this figure legend, the reader is referred to the web version of this article.)

This entry was posted in Publications and tagged , , . Bookmark the permalink. Post a comment or leave a trackback: Trackback URL.

Post a Comment

Your email is never published nor shared. Required fields are marked *

You may use these HTML tags and attributes <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>