{"title":"橡胶基体中的刚性填料颗粒:多极膨胀的有效力常数","authors":"G. Raos, G. Allegra, L. Assecondi, C. Croci","doi":"10.1016/S1089-3156(99)00067-7","DOIUrl":null,"url":null,"abstract":"<div><p>After reviewing our recently proposed analogy between filled phantom rubbers and the electrostatics of conductors in a dielectric<span> medium, we describe a general and open-ended algorithm for the evaluation of the force constant (=capacity) matrix between spherical filler particles. The method is based on the multipolar expansion of a charge distribution and of its electrostatic potential. Its performance is assessed by applying it to randomly dispersed hard spheres at volume fractions between 0.1 and 0.3.</span></p></div>","PeriodicalId":100309,"journal":{"name":"Computational and Theoretical Polymer Science","volume":"10 1","pages":"Pages 149-157"},"PeriodicalIF":0.0000,"publicationDate":"2000-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1089-3156(99)00067-7","citationCount":"7","resultStr":"{\"title\":\"Rigid filler particles in a rubber matrix: effective force constants by multipolar expansion\",\"authors\":\"G. Raos, G. Allegra, L. Assecondi, C. Croci\",\"doi\":\"10.1016/S1089-3156(99)00067-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>After reviewing our recently proposed analogy between filled phantom rubbers and the electrostatics of conductors in a dielectric<span> medium, we describe a general and open-ended algorithm for the evaluation of the force constant (=capacity) matrix between spherical filler particles. The method is based on the multipolar expansion of a charge distribution and of its electrostatic potential. Its performance is assessed by applying it to randomly dispersed hard spheres at volume fractions between 0.1 and 0.3.</span></p></div>\",\"PeriodicalId\":100309,\"journal\":{\"name\":\"Computational and Theoretical Polymer Science\",\"volume\":\"10 1\",\"pages\":\"Pages 149-157\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S1089-3156(99)00067-7\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computational and Theoretical Polymer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1089315699000677\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational and Theoretical Polymer Science","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1089315699000677","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Rigid filler particles in a rubber matrix: effective force constants by multipolar expansion
After reviewing our recently proposed analogy between filled phantom rubbers and the electrostatics of conductors in a dielectric medium, we describe a general and open-ended algorithm for the evaluation of the force constant (=capacity) matrix between spherical filler particles. The method is based on the multipolar expansion of a charge distribution and of its electrostatic potential. Its performance is assessed by applying it to randomly dispersed hard spheres at volume fractions between 0.1 and 0.3.
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