Abstract
Self-consistent relations have been traditionally formulated with a uniform matrix. To represent the additional effect of plastic heterogeneity actually taking place in a polycrystal, a non-uniform distribution of body force is introduced into the matrix to calculate the inclusion-matrix interaction. This consideration allows us to extend the traditional relations to a new form which, when correlated with the characteristic length or grain size of the polycrystal, is capable of describing the grain- and/or specimen-size dependency. A geometrical interpretation on the implication of plastic constraint factor is offered; following this, the newly established self-consistent relation is seen to suggest that among others, a larger specimen will have a harder plastic response. Such a prediction, as illustrated in an application, was confirmed with experimental observations on the behavior of a low carbon steel.
Sign-in/Register to access full text options 
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.
