{"title":"蠕变柔度与应力松弛相互转换的计算机程序","authors":"S. Shanbhag","doi":"10.1122/8.0000695","DOIUrl":null,"url":null,"abstract":"Numerical interconversion of linear viscoelastic functions is an important problem in rheology. This work focuses on interconversion between creep compliance (J) and relaxation modulus (G) via the convolution relation. A discrete spectrum or Prony series is used to describe both the source (G or J) and the target (J or G) of the interconversion. A previously developed numerical template [Loy et al.,J. Rheol.59(5), 1261 (2015)] is modified to bypass singularities. It is released as an open-source computer program called PSI (Prony series interconversion). PSI is tested on a variety of materials including viscoelastic solids and liquids and used for both G→J and J→G interconversions. It is fast and numerically stable for input data that span over 20 decades in time. It fills a gap in the existing software landscape for conversion of linear viscoelastic functions.","PeriodicalId":16991,"journal":{"name":"Journal of Rheology","volume":" ","pages":""},"PeriodicalIF":3.0000,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A computer program for interconversion between creep compliance and stress relaxation\",\"authors\":\"S. Shanbhag\",\"doi\":\"10.1122/8.0000695\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Numerical interconversion of linear viscoelastic functions is an important problem in rheology. This work focuses on interconversion between creep compliance (J) and relaxation modulus (G) via the convolution relation. A discrete spectrum or Prony series is used to describe both the source (G or J) and the target (J or G) of the interconversion. A previously developed numerical template [Loy et al.,J. Rheol.59(5), 1261 (2015)] is modified to bypass singularities. It is released as an open-source computer program called PSI (Prony series interconversion). PSI is tested on a variety of materials including viscoelastic solids and liquids and used for both G→J and J→G interconversions. It is fast and numerically stable for input data that span over 20 decades in time. It fills a gap in the existing software landscape for conversion of linear viscoelastic functions.\",\"PeriodicalId\":16991,\"journal\":{\"name\":\"Journal of Rheology\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":3.0000,\"publicationDate\":\"2023-07-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Rheology\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1122/8.0000695\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Rheology","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1122/8.0000695","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
A computer program for interconversion between creep compliance and stress relaxation
Numerical interconversion of linear viscoelastic functions is an important problem in rheology. This work focuses on interconversion between creep compliance (J) and relaxation modulus (G) via the convolution relation. A discrete spectrum or Prony series is used to describe both the source (G or J) and the target (J or G) of the interconversion. A previously developed numerical template [Loy et al.,J. Rheol.59(5), 1261 (2015)] is modified to bypass singularities. It is released as an open-source computer program called PSI (Prony series interconversion). PSI is tested on a variety of materials including viscoelastic solids and liquids and used for both G→J and J→G interconversions. It is fast and numerically stable for input data that span over 20 decades in time. It fills a gap in the existing software landscape for conversion of linear viscoelastic functions.
期刊介绍:
The Journal of Rheology, formerly the Transactions of The Society of Rheology, is published six times per year by The Society of Rheology, a member society of the American Institute of Physics, through AIP Publishing. It provides in-depth interdisciplinary coverage of theoretical and experimental issues drawn from industry and academia. The Journal of Rheology is published for professionals and students in chemistry, physics, engineering, material science, and mathematics.