Abstract
Minimum energy principles and generalized polarization trial fields are used to derive bounds on the effective elastic moduli of d-dimensional random cell polycrystals, which are extensions of our earlier 3D (3-dimensional) results. The bounds are specialized to the 2D random aggregates of square-symmetric crystals, with numerical results for a number of particular crystals. Numerical finite element simulations for sufficiently large random aggregate samples of a particular 2D random polycrystal model show convergence toward the possible scatter interval for the effective elastic moduli enveloped by the new bounds, which are tighter than the classical Voigt–Reuss–Hill and Hashin–Shtrikman ones.
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.
