Abstract

Randomly distributed non-overlapping perfectly conducting spheres are embedded in a conducting matrix with the concentration of inclusions f. Jeffrey (1973) suggested an analytical formula valid up to O(f3) for macroscopically isotropic random composites. A conditionally convergent sum arose in the spatial averaging. In the present chapter, we apply a method of functional equations to random composites and correct Jeffrey's formula. The main revision concerns the proper investigation of the conditionally convergent sum. An algorithm to symbolic computation of the effective conductivity tensor is developed and performed up to O(f103). The results of this chapter are based on the paper (Mityushev and Nawalaniec, 2019).

Full Text
Paper version not known

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 call

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.