{"title":"非格林弹性非线性弹性体的一类本构关系边值问题的解","authors":"R. Bustamante","doi":"10.1093/qjmam/hbw007","DOIUrl":null,"url":null,"abstract":"Several boundary value problems are solved for a new class of constitutive equation, where the left Cauchy–Green stretch tensor is given as a non-linear function of the Cauchy stress tensor. Some constitutive inequalities and restrictions are proposed as well.","PeriodicalId":92460,"journal":{"name":"The quarterly journal of mechanics and applied mathematics","volume":"69 3","pages":"257-279"},"PeriodicalIF":0.8000,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/qjmam/hbw007","citationCount":"6","resultStr":"{\"title\":\"Solutions of some boundary value problems for a class of constitutive relations for non-linear elastic bodies that is not Green elastic\",\"authors\":\"R. Bustamante\",\"doi\":\"10.1093/qjmam/hbw007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Several boundary value problems are solved for a new class of constitutive equation, where the left Cauchy–Green stretch tensor is given as a non-linear function of the Cauchy stress tensor. Some constitutive inequalities and restrictions are proposed as well.\",\"PeriodicalId\":92460,\"journal\":{\"name\":\"The quarterly journal of mechanics and applied mathematics\",\"volume\":\"69 3\",\"pages\":\"257-279\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2016-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1093/qjmam/hbw007\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The quarterly journal of mechanics and applied mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/8210311/\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The quarterly journal of mechanics and applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/8210311/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solutions of some boundary value problems for a class of constitutive relations for non-linear elastic bodies that is not Green elastic
Several boundary value problems are solved for a new class of constitutive equation, where the left Cauchy–Green stretch tensor is given as a non-linear function of the Cauchy stress tensor. Some constitutive inequalities and restrictions are proposed as well.