Abstract
Inclusion slip induced by eigenstrains in polycrystalline or composite materials is modeled by adding Somigliana dislocations along the matrix-inclusion interface. It is shown that the elastic strain energy of a slip inclusion is in the minimum state. Therefore, a general and simple method to determine the slip represented by the Burgers vector is developed through the principle of minimum strain energy. The corresponding surface dislocation density is then obtained analytically. Following the eigenstrain formulation, the associated elastic fields inside and outside a slip spherical inclusion are presented in closed form. The results show that strains and stresses in the slip inclusion are not uniform, in contrast to the perfectly bonded inclusions where Eshelby's solution holds. The results of this work can be readily utilized in the solution of numerous problems pertaining to slip such as grain boundary sliding in polycrystals and granular media, behavior of precipitates at high temperature, and debonding of fibers in composite materials.
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.