无限大各向同性板中单孔产生的两个不对称径向裂纹应力强度因子的一般解析解

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2024-11-26 DOI:10.1016/j.tws.2024.112759

Shengfan Bi, Yong Huang, Hao Wang

{"title":"无限大各向同性板中单孔产生的两个不对称径向裂纹应力强度因子的一般解析解","authors":"Shengfan Bi, Yong Huang, Hao Wang","doi":"10.1016/j.tws.2024.112759","DOIUrl":null,"url":null,"abstract":"<div><div>Thin-walled perforated structures are widely used in modern industry, where cracks may emanate from the hole edges due to structural loads and manufacturing processes, potentially reducing the reliability of the structure. This paper presents a general solution for stress intensity factors (SIFs) of two asymmetrical radial cracks emanating from a single hole in an infinite isotropic plate, utilizing complex variable theory. Hole shapes, including quasi-square, parabolic, and pentagonal, etc., are considered as instances, and SIFs at crack tips and stress distributions around the hole edge are provided. The analytical solutions are compared with existing literature and finite element method (FEM) results, which confirm the reliability. Under uniaxial tension or pure shear, for quasi-square, parabolic, and pentagonal shapes with equal crack lengths <span><math><mrow><mo>(</mo><mi>a</mi><mo>/</mo><mi>H</mi><mo>=</mo><mn>0</mn><mo>.</mo><mrow><mn>5</mn><mo>)</mo></mrow></mrow></math></span>, the maximum stress occurs near the geometric vertices. As the crack length increases, the influence of the hole shape diminishes, causing SIF values to approach those of a Griffith crack.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"208 ","pages":"Article 112759"},"PeriodicalIF":5.7000,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"General analytical solution for stress intensity factors of two asymmetrical radial cracks emanating from a single hole in an infinite isotropic plate\",\"authors\":\"Shengfan Bi, Yong Huang, Hao Wang\",\"doi\":\"10.1016/j.tws.2024.112759\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Thin-walled perforated structures are widely used in modern industry, where cracks may emanate from the hole edges due to structural loads and manufacturing processes, potentially reducing the reliability of the structure. This paper presents a general solution for stress intensity factors (SIFs) of two asymmetrical radial cracks emanating from a single hole in an infinite isotropic plate, utilizing complex variable theory. Hole shapes, including quasi-square, parabolic, and pentagonal, etc., are considered as instances, and SIFs at crack tips and stress distributions around the hole edge are provided. The analytical solutions are compared with existing literature and finite element method (FEM) results, which confirm the reliability. Under uniaxial tension or pure shear, for quasi-square, parabolic, and pentagonal shapes with equal crack lengths <span><math><mrow><mo>(</mo><mi>a</mi><mo>/</mo><mi>H</mi><mo>=</mo><mn>0</mn><mo>.</mo><mrow><mn>5</mn><mo>)</mo></mrow></mrow></math></span>, the maximum stress occurs near the geometric vertices. As the crack length increases, the influence of the hole shape diminishes, causing SIF values to approach those of a Griffith crack.</div></div>\",\"PeriodicalId\":49435,\"journal\":{\"name\":\"Thin-Walled Structures\",\"volume\":\"208 \",\"pages\":\"Article 112759\"},\"PeriodicalIF\":5.7000,\"publicationDate\":\"2024-11-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Thin-Walled Structures\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0263823124011996\",\"RegionNum\":1,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, CIVIL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Thin-Walled Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0263823124011996","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}

引用次数: 0

摘要

薄壁穿孔结构广泛应用于现代工业，由于结构载荷和制造工艺的影响，孔口边缘可能产生裂缝，从而降低结构的可靠性。本文利用复变理论，给出了无限各向同性板上单孔产生的两个非对称径向裂纹的应力强度因子的一般解。以准正方形、抛物线形、五边形等孔形为例，给出了裂纹尖端的SIFs和孔边周围的应力分布。将解析解与已有文献和有限元计算结果进行了比较，验证了解析解的可靠性。在单轴拉伸或纯剪切作用下，裂纹长度相等的准正方形、抛物线形和五边形（a/H=0.5），最大应力出现在几何顶点附近。随着裂纹长度的增加，孔形的影响减小，使得SIF值接近Griffith裂纹的SIF值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

General analytical solution for stress intensity factors of two asymmetrical radial cracks emanating from a single hole in an infinite isotropic plate

Thin-walled perforated structures are widely used in modern industry, where cracks may emanate from the hole edges due to structural loads and manufacturing processes, potentially reducing the reliability of the structure. This paper presents a general solution for stress intensity factors (SIFs) of two asymmetrical radial cracks emanating from a single hole in an infinite isotropic plate, utilizing complex variable theory. Hole shapes, including quasi-square, parabolic, and pentagonal, etc., are considered as instances, and SIFs at crack tips and stress distributions around the hole edge are provided. The analytical solutions are compared with existing literature and finite element method (FEM) results, which confirm the reliability. Under uniaxial tension or pure shear, for quasi-square, parabolic, and pentagonal shapes with equal crack lengths

(a / H = 0 . 5)

, the maximum stress occurs near the geometric vertices. As the crack length increases, the influence of the hole shape diminishes, causing SIF values to approach those of a Griffith crack.

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

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.