Abstract
A continued fraction representation for the effective conductivity tensor σ* of a two-dimensional polycrystal is derived. This representation is in terms of a sequence of positive definite symmetric matrices which characterize the underlying geometric structure of the material. The proof is accomplished by considering a particular basis for the Hilbert space of fields in the composite in which the linear operators relevant to determining the effective conductivity take simple forms as infinite matrices. These infinite matrices are then used in the variational definition of the effective conductivity to formulate the continued fraction. This continued fraction is used to derive upper and lower bounds on σ*.
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.
