On the number of fractured segments of spaghetti breaking dynamics

IF 3.2 3区工程技术 Q2 MECHANICS

Theoretical and Applied Mechanics Letters Pub Date : 2022-05-01 DOI:10.1016/j.taml.2022.100347

Yi Zhang, Xiang Li, Yuanfan Dai, Bo-Hua Sun

{"title":"On the number of fractured segments of spaghetti breaking dynamics","authors":"Yi Zhang, Xiang Li, Yuanfan Dai, Bo-Hua Sun","doi":"10.1016/j.taml.2022.100347","DOIUrl":null,"url":null,"abstract":"<div><p>Why are pieces of spaghetti generally broken into three to ten segments instead of two as one thinks? How can one obtain the desired number of fracture segments? To answer those questions, the fracture dynamics of a strand of spaghetti is modelled by elastic rod and numerically investigated by using finite-element software ABAQUS. By data fitting, two relations are obtained: the number of fracture segments in terms of rod diameter-length ratio and fracture limit curvature with the rod diameter. Results reveal that when the length is constant, the larger the diameter and/or the smaller the diameter-length ratio <span><math><mrow><mi>D</mi><mo>/</mo><mi>L</mi></mrow></math></span>, the smaller the limit curvature; and the larger the diameter-length ratio <span><math><mrow><mi>D</mi><mo>/</mo><mi>L</mi></mrow></math></span>, the fewer the number of fractured segments. The relevant formulations can be used to obtain the desired number of broken segments of spaghetti by changing the diameter-to-length ratio.</p></div>","PeriodicalId":46902,"journal":{"name":"Theoretical and Applied Mechanics Letters","volume":"12 4","pages":"Article 100347"},"PeriodicalIF":3.2000,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2095034922000277/pdfft?md5=a1ce7fb4eabf51ec3e3eb37f4590a64f&pid=1-s2.0-S2095034922000277-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Applied Mechanics Letters","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2095034922000277","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}

引用次数: 0

Abstract

Why are pieces of spaghetti generally broken into three to ten segments instead of two as one thinks? How can one obtain the desired number of fracture segments? To answer those questions, the fracture dynamics of a strand of spaghetti is modelled by elastic rod and numerically investigated by using finite-element software ABAQUS. By data fitting, two relations are obtained: the number of fracture segments in terms of rod diameter-length ratio and fracture limit curvature with the rod diameter. Results reveal that when the length is constant, the larger the diameter and/or the smaller the diameter-length ratio $D / L$ , the smaller the limit curvature; and the larger the diameter-length ratio $D / L$ , the fewer the number of fractured segments. The relevant formulations can be used to obtain the desired number of broken segments of spaghetti by changing the diameter-to-length ratio.

查看原文本刊更多论文

意大利面断裂动力学中断裂段数的研究

为什么意大利面通常被分成三到十段，而不是像人们想象的那样分成两段?如何获得所需的骨折段数?为了回答这些问题，采用弹性杆模拟了一股意大利面条的断裂动力学，并利用有限元软件ABAQUS进行了数值研究。通过数据拟合得到两种关系:裂缝段数与杆径长比的关系和裂缝极限曲率与杆径的关系。结果表明:当长度一定时，直径越大和/或径长比D/L越小，极限曲率越小;径长比D/L越大，裂缝段数越少。相关的公式可以通过改变意大利面条的直径与长度比来获得所需的破碎段数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Theoretical and Applied Mechanics Letters MECHANICS-

CiteScore

6.20

自引率

2.90%

发文量

545

审稿时长

12 weeks

期刊介绍： An international journal devoted to rapid communications on novel and original research in the field of mechanics. TAML aims at publishing novel, cutting edge researches in theoretical, computational, and experimental mechanics. The journal provides fast publication of letter-sized articles and invited reviews within 3 months. We emphasize highlighting advances in science, engineering, and technology with originality and rapidity. Contributions include, but are not limited to, a variety of topics such as: • Aerospace and Aeronautical Engineering • Coastal and Ocean Engineering • Environment and Energy Engineering • Material and Structure Engineering • Biomedical Engineering • Mechanical and Transportation Engineering • Civil and Hydraulic Engineering Theoretical and Applied Mechanics Letters (TAML) was launched in 2011 and sponsored by Institute of Mechanics, Chinese Academy of Sciences (IMCAS) and The Chinese Society of Theoretical and Applied Mechanics (CSTAM). It is the official publication the Beijing International Center for Theoretical and Applied Mechanics (BICTAM).