Abstract
Using conformal mapping techniques and the theory of Cauchy singular integral equations, we prove that the internal stresses inside a non-elliptical inhomogeneity can remain uniform despite the presence of a nearby finite mode III Dugdale crack in the surrounding matrix which is subjected to a uniform remote loading. Our numerical results indicate that: (i) the existence of the two plastic zones in the vicinity of the “crack tips” significantly influences the non-elliptical shape of the inhomogeneity; (ii) the changes in the two plastic zone length ratios are quite different as the remote loading increases; (iii) at a critical remote loading, one plastic zone vanishes while the other plastic zone occupies practically the entire crack length.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.