{"title":"具有变弯矩的板在腐蚀性介质中发生蠕变断裂","authors":"A.M. Lokoshchenko, L.V. Fomin","doi":"10.1016/j.jappmathmech.2016.06.006","DOIUrl":null,"url":null,"abstract":"<div><p>The dissipated fracture of a rectangular plate<span> with bending under conditions of a time-varying plane stress state taking account of the effect of an aggressive medium is investigated. A method for determining the time up to the fracture of such a plate when it is successively bent in different planes is proposed. Using Rabotnov's kinetic theory, the times up to fracture are compared in the case of scalar and vector damage parameters using a power creep model. The deviations of the sum of the partial times from unity are investigated in the case of piece-wise constant relations between the level of the bending moment and time. An analogy with the results of experiments on the creep strength of rods with a piecewise-constant tensile stress is shown.</span></p></div>","PeriodicalId":49686,"journal":{"name":"Pmm Journal of Applied Mathematics and Mechanics","volume":"80 2","pages":"Pages 198-204"},"PeriodicalIF":0.0000,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2016.06.006","citationCount":"3","resultStr":"{\"title\":\"Creep fracture of plates with variable bending moments in the presence of an aggressive medium\",\"authors\":\"A.M. Lokoshchenko, L.V. Fomin\",\"doi\":\"10.1016/j.jappmathmech.2016.06.006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The dissipated fracture of a rectangular plate<span> with bending under conditions of a time-varying plane stress state taking account of the effect of an aggressive medium is investigated. A method for determining the time up to the fracture of such a plate when it is successively bent in different planes is proposed. Using Rabotnov's kinetic theory, the times up to fracture are compared in the case of scalar and vector damage parameters using a power creep model. The deviations of the sum of the partial times from unity are investigated in the case of piece-wise constant relations between the level of the bending moment and time. An analogy with the results of experiments on the creep strength of rods with a piecewise-constant tensile stress is shown.</span></p></div>\",\"PeriodicalId\":49686,\"journal\":{\"name\":\"Pmm Journal of Applied Mathematics and Mechanics\",\"volume\":\"80 2\",\"pages\":\"Pages 198-204\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.jappmathmech.2016.06.006\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pmm Journal of Applied Mathematics and Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S002189281630079X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pmm Journal of Applied Mathematics and Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S002189281630079X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Creep fracture of plates with variable bending moments in the presence of an aggressive medium
The dissipated fracture of a rectangular plate with bending under conditions of a time-varying plane stress state taking account of the effect of an aggressive medium is investigated. A method for determining the time up to the fracture of such a plate when it is successively bent in different planes is proposed. Using Rabotnov's kinetic theory, the times up to fracture are compared in the case of scalar and vector damage parameters using a power creep model. The deviations of the sum of the partial times from unity are investigated in the case of piece-wise constant relations between the level of the bending moment and time. An analogy with the results of experiments on the creep strength of rods with a piecewise-constant tensile stress is shown.
期刊介绍:
This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.