{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,22]],"date-time":"2026-01-22T02:19:18Z","timestamp":1769048358246,"version":"3.49.0"},"reference-count":0,"publisher":"ECMS","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025,6,24]]},"abstract":"<jats:p>Consider a two-dimensional, two-component composite consisting of non-overlapping, identical circular disks embedded in a uniform host. The effective conductivity of these dispersed random composites can be determined using constructive homogenization theory, which assumes a strictly stationary distribution of inclusions. The Eisenstein summation method is applied to analyze conditionally convergent sums that arise during the homogenization process. Additionally, the Clausius-Mossotti approximation, which is valid for two-dimensional composites up to O(f3), is justified for random composites. This approach provides a robust framework for understanding the behavior of such materials and offers insights into the computation of their effective properties.<\/jats:p>","DOI":"10.7148\/2025-0323","type":"proceedings-article","created":{"date-parts":[[2025,7,23]],"date-time":"2025-07-23T12:36:52Z","timestamp":1753274212000},"page":"323-329","source":"Crossref","is-referenced-by-count":1,"title":["Constructive Homogenization Of Dispersed Random Composites. Part II. Computer Simulations"],"prefix":"10.7148","author":[{"given":"Vladimir","family":"Mityushev","sequence":"first","affiliation":[]},{"given":"Natalia","family":"Rylko","sequence":"additional","affiliation":[]}],"member":"4144","published-online":{"date-parts":[[2025,6,24]]},"event":{"name":"39th ECMS International Conference on Modelling and Simulation"},"container-title":["ECMS 2025 Proceedings edited by Marco Scarpa, Salvatore Cavalieri, Salvatore Serrano, Fabrizio De Vita"],"original-title":[],"deposited":{"date-parts":[[2025,7,23]],"date-time":"2025-07-23T12:36:56Z","timestamp":1753274216000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.scs-europe.net\/dlib\/2025\/2025-0323.html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,6,24]]},"references-count":0,"URL":"https:\/\/doi.org\/10.7148\/2025-0323","relation":{},"subject":[],"published":{"date-parts":[[2025,6,24]]}}}