Abstract
Abstract A general method is presented to calculate solid angles, in N dimensional spaces, associated with a given cone of vectors. This method is applied here to a study of the shape of a facetted crystal yield surface. The case of the Bishop and Hill yield polyhedron of fcc crystals undergoing a completely imposed strain is treated in detail. The probability of activating a given type of yield vertex is obtained from the ratios for the solid angles associated with the corresponding cone of normals. Some applications of this method to polycrystal plasticity problems are outlined, with the aim of predicting the anisotropic behaviour of textured polycrystals.
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.
