{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:27:13Z","timestamp":1760243233895,"version":"build-2065373602"},"reference-count":44,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2014,12,9]],"date-time":"2014-12-09T00:00:00Z","timestamp":1418083200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Based on the principle of maximum entropy method (MEM) for quantitative texture analysis, the differential evolution (DE) algorithm was effectively introduced. Using a DE-optimized algorithm with a faster but more stable convergence rate of iteration reliable complete orientation distributions (C-ODF) have been obtained for deep-drawn IF steel sheets and the recrystallized aluminum foils after cold-rolling, which are designated as showing a macroscopic cubic-orthogonal symmetry. With special reference to the data processing, no more other assumptions are required for DE-optimized MEM except that the system entropy approach the maximum.<\/jats:p>","DOI":"10.3390\/e16126477","type":"journal-article","created":{"date-parts":[[2014,12,9]],"date-time":"2014-12-09T10:18:35Z","timestamp":1418120315000},"page":"6477-6496","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["An Evolutionary Algorithm for the Texture Analysis of Cubic System Materials Derived by the Maximum Entropy Principle"],"prefix":"10.3390","volume":"16","author":[{"given":"Dapeng","family":"Wang","sequence":"first","affiliation":[{"name":"School of Materials Science and Engineering, Shenyang Aerospace University, Shenyang 110136, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dazhi","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Information  Science and Engineering, Northeastern University, Shenyang 110189, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Baolin","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Materials Science and Engineering, Shenyang Aerospace University, Shenyang 110136, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fu","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Materials and Metallurgy, Northeastern University, Shenyang 110189, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhide","family":"Liang","sequence":"additional","affiliation":[{"name":"School of Materials and Metallurgy, Northeastern University, Shenyang 110189, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2014,12,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1080\/14786440108520972","article-title":"Quantitative measurement of preferred orientation in rolled Uranium","volume":"43","author":"Harris","year":"1952","journal-title":"Philos. 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