各向同性硬化弹塑性接触的数值模拟

Q4 Engineering
D. Cerlinca, S. Spinu
{"title":"各向同性硬化弹塑性接触的数值模拟","authors":"D. Cerlinca, S. Spinu","doi":"10.54684/ijmmt.2022.14.2.294","DOIUrl":null,"url":null,"abstract":"The contacts of mechanical components transmit loads that lead to subsurface stresses developing in the contacting bodies. In an efficient tribological design, these stresses are expected to remain under the yield strength of the softer contacting material. When this condition is not met, plastic flow occurs in the softer body. Under the assumption of isotropic hardening, the yield strength increases with the development of additional plastic strains. As plastic flow processes are dissipative and therefore path dependent, the elastic-plastic problem is unsolvable through analytical endeavours, but can be approached with a numerical algorithm capable of simulating the loading history. The Betti’s reciprocal theorem provides the theoretical framework for the application of superposition principle to elastic-plastic stresses and displacement. An algorithm consisting in three nested loops is assembled from the solutions of simpler problems: (1) the purely elastic rough contact problem, (2) the inclusion problem and (3) the problem of the plastic strain increment. The numerical simulations suggest that the residual stresses decrease the intensity of the total stresses, thus delaying additional plastic flow. With increasing load, the heart-shaped plastic strain volume advances toward the surface, enveloping a plastic core near the initial point of contact. Compared to the purely elastic case, the elastic-plastic pressure shows a flatter distribution, while the contact radius is increased.","PeriodicalId":38009,"journal":{"name":"International Journal of Modern Manufacturing Technologies","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"\\\"NUMERICAL SIMULATION OF ELASTIC-PLASTIC CONTACT WITH ISOTROPIC HARDENING \\\"\",\"authors\":\"D. Cerlinca, S. Spinu\",\"doi\":\"10.54684/ijmmt.2022.14.2.294\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The contacts of mechanical components transmit loads that lead to subsurface stresses developing in the contacting bodies. In an efficient tribological design, these stresses are expected to remain under the yield strength of the softer contacting material. When this condition is not met, plastic flow occurs in the softer body. Under the assumption of isotropic hardening, the yield strength increases with the development of additional plastic strains. As plastic flow processes are dissipative and therefore path dependent, the elastic-plastic problem is unsolvable through analytical endeavours, but can be approached with a numerical algorithm capable of simulating the loading history. The Betti’s reciprocal theorem provides the theoretical framework for the application of superposition principle to elastic-plastic stresses and displacement. An algorithm consisting in three nested loops is assembled from the solutions of simpler problems: (1) the purely elastic rough contact problem, (2) the inclusion problem and (3) the problem of the plastic strain increment. The numerical simulations suggest that the residual stresses decrease the intensity of the total stresses, thus delaying additional plastic flow. With increasing load, the heart-shaped plastic strain volume advances toward the surface, enveloping a plastic core near the initial point of contact. Compared to the purely elastic case, the elastic-plastic pressure shows a flatter distribution, while the contact radius is increased.\",\"PeriodicalId\":38009,\"journal\":{\"name\":\"International Journal of Modern Manufacturing Technologies\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Modern Manufacturing Technologies\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54684/ijmmt.2022.14.2.294\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Modern Manufacturing Technologies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54684/ijmmt.2022.14.2.294","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0

摘要

机械部件的接触传递载荷,从而在接触体中产生地下应力。在有效的摩擦学设计中,这些应力应保持在较软接触材料的屈服强度之下。当不满足这一条件时,软体发生塑性流动。在各向同性硬化假设下,屈服强度随附加塑性应变的发展而增加。由于塑性流动过程是耗散的,因此依赖于路径,弹塑性问题是无法通过解析努力解决的,但可以用能够模拟加载历史的数值算法来解决。贝蒂倒易定理为叠加原理在弹塑性应力和位移中的应用提供了理论框架。由三个嵌套循环组成的算法由简单问题的解组合而成:(1)纯弹性粗糙接触问题,(2)夹杂问题和(3)塑性应变增量问题。数值模拟结果表明,残余应力降低了总应力的强度,从而延缓了附加塑性流动。随着载荷的增加,心形的塑性应变体积向表面移动,在初始接触点附近包裹一个塑料芯。与纯弹性情况相比,弹塑性压力分布趋于平缓,接触半径增大。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
"NUMERICAL SIMULATION OF ELASTIC-PLASTIC CONTACT WITH ISOTROPIC HARDENING "
The contacts of mechanical components transmit loads that lead to subsurface stresses developing in the contacting bodies. In an efficient tribological design, these stresses are expected to remain under the yield strength of the softer contacting material. When this condition is not met, plastic flow occurs in the softer body. Under the assumption of isotropic hardening, the yield strength increases with the development of additional plastic strains. As plastic flow processes are dissipative and therefore path dependent, the elastic-plastic problem is unsolvable through analytical endeavours, but can be approached with a numerical algorithm capable of simulating the loading history. The Betti’s reciprocal theorem provides the theoretical framework for the application of superposition principle to elastic-plastic stresses and displacement. An algorithm consisting in three nested loops is assembled from the solutions of simpler problems: (1) the purely elastic rough contact problem, (2) the inclusion problem and (3) the problem of the plastic strain increment. The numerical simulations suggest that the residual stresses decrease the intensity of the total stresses, thus delaying additional plastic flow. With increasing load, the heart-shaped plastic strain volume advances toward the surface, enveloping a plastic core near the initial point of contact. Compared to the purely elastic case, the elastic-plastic pressure shows a flatter distribution, while the contact radius is increased.
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
International Journal of Modern Manufacturing Technologies
International Journal of Modern Manufacturing Technologies Engineering-Industrial and Manufacturing Engineering
CiteScore
0.70
自引率
0.00%
发文量
15
期刊介绍: The main topics of the journal are: Micro & Nano Technologies; Rapid Prototyping Technologies; High Speed Manufacturing Processes; Ecological Technologies in Machine Manufacturing; Manufacturing and Automation; Flexible Manufacturing; New Manufacturing Processes; Design, Control and Exploitation; Assembly and Disassembly; Cold Forming Technologies; Optimization of Experimental Research and Manufacturing Processes; Maintenance, Reliability, Life Cycle Time and Cost; CAD/CAM/CAE/CAX Integrated Systems; Composite Materials Technologies; Non-conventional Technologies; Concurrent Engineering; Virtual Manufacturing; Innovation, Creativity and Industrial Development.
×
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