Shear bands in polymer tubes under internal pressure

IF 3.4 3区 材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Mechanics of Materials Pub Date : 2025-03-04 DOI:10.1016/j.mechmat.2025.105315
Tianxiang Lan , Yaodong Jiang , Peidong Wu , Yueguang Wei
{"title":"Shear bands in polymer tubes under internal pressure","authors":"Tianxiang Lan ,&nbsp;Yaodong Jiang ,&nbsp;Peidong Wu ,&nbsp;Yueguang Wei","doi":"10.1016/j.mechmat.2025.105315","DOIUrl":null,"url":null,"abstract":"<div><div>The extensive emergence and frequent interaction of shear bands play a pivotal role in the behavior of ductile polymers under large deformations. This paper employs the finite element method to analyze the emergence and evolution of shear bands in polymer tubes under internal pressure. Assuming the tube is sufficiently long, plane strain conditions prevail in the axial direction. The behavior of polymers is represented by the classical elastic-viscoplastic constitutive model, which incorporates influences of pressure, strain rate and temperature on yielding and encompasses intrinsic softening and consequent orientation hardening. Simulations indicate that shear bands initially propagate in a spiral pattern, followed by widening, multiplication, and annihilation indications. These phenomena collectively contribute to the onset and expansion of necks. The competition between the propagation and multiplication of shear bands governs the unpredictability in the initiation sites of necking. Particular attention is paid to four interesting interactions between shear bands (i.e., “detour”, bifurcation, obstruction, “repulsion”) and their genesis mechanisms. The effects of material parameters, initial geometric imperfections, specimen thickness and loading method are systematically discussed. It is demonstrated that intrinsic softening facilitates the emergence and propagation of bands, while orientation hardening contributes to the widening of bands and the expansion of necks. The synergistic effect of intrinsic softening and orientational hardening modulates shear bands’ morphology, multiplication, competition and interaction. The initial imperfection wave number significantly affects the number of shear bands. Periodic symmetric imperfections result in a comparable number of clockwise and counterclockwise shear bands, followed by necks propagating bi-directionally along the specimen. Conversely, periodic asymmetric imperfections induce a unidirectional spiral configuration of shear bands, followed by necks propagating unidirectionally along the specimen. Compared with experiments, it is demonstrated that the constitutive model can qualitatively depict the onset and propagation of necks. The multiplication, bifurcation, “detour”, and obstruction of shear bands frequently observed in experiments can also be predicted well qualitatively.</div></div>","PeriodicalId":18296,"journal":{"name":"Mechanics of Materials","volume":"205 ","pages":"Article 105315"},"PeriodicalIF":3.4000,"publicationDate":"2025-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Materials","FirstCategoryId":"88","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167663625000778","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

Abstract

The extensive emergence and frequent interaction of shear bands play a pivotal role in the behavior of ductile polymers under large deformations. This paper employs the finite element method to analyze the emergence and evolution of shear bands in polymer tubes under internal pressure. Assuming the tube is sufficiently long, plane strain conditions prevail in the axial direction. The behavior of polymers is represented by the classical elastic-viscoplastic constitutive model, which incorporates influences of pressure, strain rate and temperature on yielding and encompasses intrinsic softening and consequent orientation hardening. Simulations indicate that shear bands initially propagate in a spiral pattern, followed by widening, multiplication, and annihilation indications. These phenomena collectively contribute to the onset and expansion of necks. The competition between the propagation and multiplication of shear bands governs the unpredictability in the initiation sites of necking. Particular attention is paid to four interesting interactions between shear bands (i.e., “detour”, bifurcation, obstruction, “repulsion”) and their genesis mechanisms. The effects of material parameters, initial geometric imperfections, specimen thickness and loading method are systematically discussed. It is demonstrated that intrinsic softening facilitates the emergence and propagation of bands, while orientation hardening contributes to the widening of bands and the expansion of necks. The synergistic effect of intrinsic softening and orientational hardening modulates shear bands’ morphology, multiplication, competition and interaction. The initial imperfection wave number significantly affects the number of shear bands. Periodic symmetric imperfections result in a comparable number of clockwise and counterclockwise shear bands, followed by necks propagating bi-directionally along the specimen. Conversely, periodic asymmetric imperfections induce a unidirectional spiral configuration of shear bands, followed by necks propagating unidirectionally along the specimen. Compared with experiments, it is demonstrated that the constitutive model can qualitatively depict the onset and propagation of necks. The multiplication, bifurcation, “detour”, and obstruction of shear bands frequently observed in experiments can also be predicted well qualitatively.

Abstract Image

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
求助全文
约1分钟内获得全文 去求助
来源期刊
Mechanics of Materials
Mechanics of Materials 工程技术-材料科学:综合
CiteScore
7.60
自引率
5.10%
发文量
243
审稿时长
46 days
期刊介绍: Mechanics of Materials is a forum for original scientific research on the flow, fracture, and general constitutive behavior of geophysical, geotechnical and technological materials, with balanced coverage of advanced technological and natural materials, with balanced coverage of theoretical, experimental, and field investigations. Of special concern are macroscopic predictions based on microscopic models, identification of microscopic structures from limited overall macroscopic data, experimental and field results that lead to fundamental understanding of the behavior of materials, and coordinated experimental and analytical investigations that culminate in theories with predictive quality.
期刊最新文献
Editorial Board Mechanism and prediction of screw dislocation strengthening by interstitials in advanced high-strength steels: Application to Fe–C and Fe–N alloys Shear bands in polymer tubes under internal pressure Batch active learning for microstructure–property relations in energetic materials Predictions of temperature-dependent material properties and auxeticity of graphene platelets
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1