{"title":"A long crack in a long clamped strip","authors":"Gregory J. Rodin","doi":"10.1007/s10704-025-00867-x","DOIUrl":null,"url":null,"abstract":"<div><p>The Mode I problem for a semi-infinite crack in an infinite clamped strip, introduced by James R. Rice, is ideal for demonstrating the power of energy methods. This configuration is also appealing to experimentalists, as it is characterized by the energy release rate that does not change as the crack grows. However, under plane strain conditions, the problem leads to an anomalous solution for the energy release rate for incompressible materials. This anomaly is explained and resolved by considering the problem for a long crack in a long strip. The new solution is valid for compressible, nearly incompressible, and incompressible materials.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 3","pages":""},"PeriodicalIF":2.5000,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Fracture","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10704-025-00867-x","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The Mode I problem for a semi-infinite crack in an infinite clamped strip, introduced by James R. Rice, is ideal for demonstrating the power of energy methods. This configuration is also appealing to experimentalists, as it is characterized by the energy release rate that does not change as the crack grows. However, under plane strain conditions, the problem leads to an anomalous solution for the energy release rate for incompressible materials. This anomaly is explained and resolved by considering the problem for a long crack in a long strip. The new solution is valid for compressible, nearly incompressible, and incompressible materials.
由James R. Rice提出的半无限裂纹在无限夹持条中的I型问题,是证明能量方法的力量的理想方法。这种结构对实验家也很有吸引力,因为它的特点是能量释放率不会随着裂纹的增长而改变。然而,在平面应变条件下,该问题导致不可压缩材料能量释放率的异常解。通过考虑长条形中长裂纹的问题来解释和解决这种异常。新解适用于可压缩、几乎不可压缩和不可压缩材料。
期刊介绍:
The International Journal of Fracture is an outlet for original analytical, numerical and experimental contributions which provide improved understanding of the mechanisms of micro and macro fracture in all materials, and their engineering implications.
The Journal is pleased to receive papers from engineers and scientists working in various aspects of fracture. Contributions emphasizing empirical correlations, unanalyzed experimental results or routine numerical computations, while representing important necessary aspects of certain fatigue, strength, and fracture analyses, will normally be discouraged; occasional review papers in these as well as other areas are welcomed. Innovative and in-depth engineering applications of fracture theory are also encouraged.
In addition, the Journal welcomes, for rapid publication, Brief Notes in Fracture and Micromechanics which serve the Journal''s Objective. Brief Notes include: Brief presentation of a new idea, concept or method; new experimental observations or methods of significance; short notes of quality that do not amount to full length papers; discussion of previously published work in the Journal, and Brief Notes Errata.