{"title":"通过重复等应变和等应力构造以及算术几何平均数计算两相弹性复合材料的有效杨氏模量","authors":"Jiashi Yang","doi":"arxiv-2409.09738","DOIUrl":null,"url":null,"abstract":"A relationship is established between the effective Youngs modulus of a\ntwo-phase elastic composite and a known mathematical mean value. Specifically,\nthe effective Youngs modulus of a composite obtained from repeated parallel and\nserial constructions is equal to the arithmetic-geometric mean of the Youngs\nmoduli of the component materials. This result also applies to electric\ncircuits with resistors in repeated parallel and serial connections.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"47 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effective Youngs Modulus of Two-Phase Elastic Composites by Repeated Isostrain and Isostress Constructions and Arithmetic-Geometric Mean\",\"authors\":\"Jiashi Yang\",\"doi\":\"arxiv-2409.09738\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A relationship is established between the effective Youngs modulus of a\\ntwo-phase elastic composite and a known mathematical mean value. Specifically,\\nthe effective Youngs modulus of a composite obtained from repeated parallel and\\nserial constructions is equal to the arithmetic-geometric mean of the Youngs\\nmoduli of the component materials. This result also applies to electric\\ncircuits with resistors in repeated parallel and serial connections.\",\"PeriodicalId\":501482,\"journal\":{\"name\":\"arXiv - PHYS - Classical Physics\",\"volume\":\"47 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Classical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.09738\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Classical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.09738","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Effective Youngs Modulus of Two-Phase Elastic Composites by Repeated Isostrain and Isostress Constructions and Arithmetic-Geometric Mean
A relationship is established between the effective Youngs modulus of a
two-phase elastic composite and a known mathematical mean value. Specifically,
the effective Youngs modulus of a composite obtained from repeated parallel and
serial constructions is equal to the arithmetic-geometric mean of the Youngs
moduli of the component materials. This result also applies to electric
circuits with resistors in repeated parallel and serial connections.
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