具有变弯矩的板在腐蚀性介质中发生蠕变断裂

Q3 Mathematics
A.M. Lokoshchenko, L.V. Fomin
{"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,&nbsp;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,&nbsp;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}
引用次数: 3

摘要

研究了考虑侵蚀介质影响的时变平面应力状态下矩形弯曲板的耗散断裂问题。提出了一种确定这种板在不同平面上连续弯曲时的断裂时间的方法。利用Rabotnov的动力学理论,利用功率蠕变模型比较了标量损伤参数和矢量损伤参数下的断裂时间。在弯矩水平与时间之间存在分段常数关系的情况下,研究了部分时间总和与单位的偏差。与分段恒拉应力下棒的蠕变强度实验结果相似。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
CiteScore
0.70
自引率
0.00%
发文量
0
审稿时长
6-12 weeks
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.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信