Eloho Okotete , Alban Muslija , Judith K. Hohmann , Manfred Kohl , Steffen Brinckmann , Subin Lee , Christoph Kirchlechner
{"title":"通过优化桥梁缺口提高微尺度断裂试验中的裂纹稳定性","authors":"Eloho Okotete , Alban Muslija , Judith K. Hohmann , Manfred Kohl , Steffen Brinckmann , Subin Lee , Christoph Kirchlechner","doi":"10.1016/j.msea.2025.148479","DOIUrl":null,"url":null,"abstract":"<div><div>In micro cantilever fracture, a bridge notch geometry with material ligaments at the notch ends helps to reduce focused ion beam artefacts near the notch root by arresting initial cracks and promoting fracture from sharp, natural cracks. Thus, it significantly reduces the statistical scatter in fracture toughness, a common but undesirable feature in micro fracture testing. Although this concept has been validated in simulations and experiments, systematic investigations into the optimal geometry remain lacking. In this study, we experimentally examine the influence of bridge width and notch depth on the fracture toughness of micro cantilevers, using single crystalline silicon as a model material. We found that samples with thinner material bridges and deeper notches exhibit crack arrest before failure, while those with thicker bridges do not show crack arrest instead exhibit apparent toughening. Cantilevers with an optimized bridge notch geometry for crack arrest exhibit a <em>K</em><sub><em>IC</em></sub> of 1.09 ± 0.02 MPa m<sup>0.5</sup>, which agrees with previously reported fracture toughness for the Si (111) surface. Additionally, discrepancies between the bridge geometry in the experiment and the ideal structure resulted in a mismatch between the predicted and observed notch requirements for crack arrest. Our findings offer practical guidelines for designing bridge notch geometries to promote bridge failure, thus improving statistical analysis in micro fracture.</div></div>","PeriodicalId":385,"journal":{"name":"Materials Science and Engineering: A","volume":"939 ","pages":"Article 148479"},"PeriodicalIF":6.1000,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Enhanced crack stability in micro scale fracture testing via optimized bridge notches\",\"authors\":\"Eloho Okotete , Alban Muslija , Judith K. Hohmann , Manfred Kohl , Steffen Brinckmann , Subin Lee , Christoph Kirchlechner\",\"doi\":\"10.1016/j.msea.2025.148479\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In micro cantilever fracture, a bridge notch geometry with material ligaments at the notch ends helps to reduce focused ion beam artefacts near the notch root by arresting initial cracks and promoting fracture from sharp, natural cracks. Thus, it significantly reduces the statistical scatter in fracture toughness, a common but undesirable feature in micro fracture testing. Although this concept has been validated in simulations and experiments, systematic investigations into the optimal geometry remain lacking. In this study, we experimentally examine the influence of bridge width and notch depth on the fracture toughness of micro cantilevers, using single crystalline silicon as a model material. We found that samples with thinner material bridges and deeper notches exhibit crack arrest before failure, while those with thicker bridges do not show crack arrest instead exhibit apparent toughening. Cantilevers with an optimized bridge notch geometry for crack arrest exhibit a <em>K</em><sub><em>IC</em></sub> of 1.09 ± 0.02 MPa m<sup>0.5</sup>, which agrees with previously reported fracture toughness for the Si (111) surface. Additionally, discrepancies between the bridge geometry in the experiment and the ideal structure resulted in a mismatch between the predicted and observed notch requirements for crack arrest. Our findings offer practical guidelines for designing bridge notch geometries to promote bridge failure, thus improving statistical analysis in micro fracture.</div></div>\",\"PeriodicalId\":385,\"journal\":{\"name\":\"Materials Science and Engineering: A\",\"volume\":\"939 \",\"pages\":\"Article 148479\"},\"PeriodicalIF\":6.1000,\"publicationDate\":\"2025-05-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Materials Science and Engineering: A\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0921509325007038\",\"RegionNum\":2,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Materials Science and Engineering: A","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0921509325007038","RegionNum":2,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
Enhanced crack stability in micro scale fracture testing via optimized bridge notches
In micro cantilever fracture, a bridge notch geometry with material ligaments at the notch ends helps to reduce focused ion beam artefacts near the notch root by arresting initial cracks and promoting fracture from sharp, natural cracks. Thus, it significantly reduces the statistical scatter in fracture toughness, a common but undesirable feature in micro fracture testing. Although this concept has been validated in simulations and experiments, systematic investigations into the optimal geometry remain lacking. In this study, we experimentally examine the influence of bridge width and notch depth on the fracture toughness of micro cantilevers, using single crystalline silicon as a model material. We found that samples with thinner material bridges and deeper notches exhibit crack arrest before failure, while those with thicker bridges do not show crack arrest instead exhibit apparent toughening. Cantilevers with an optimized bridge notch geometry for crack arrest exhibit a KIC of 1.09 ± 0.02 MPa m0.5, which agrees with previously reported fracture toughness for the Si (111) surface. Additionally, discrepancies between the bridge geometry in the experiment and the ideal structure resulted in a mismatch between the predicted and observed notch requirements for crack arrest. Our findings offer practical guidelines for designing bridge notch geometries to promote bridge failure, thus improving statistical analysis in micro fracture.
期刊介绍:
Materials Science and Engineering A provides an international medium for the publication of theoretical and experimental studies related to the load-bearing capacity of materials as influenced by their basic properties, processing history, microstructure and operating environment. Appropriate submissions to Materials Science and Engineering A should include scientific and/or engineering factors which affect the microstructure - strength relationships of materials and report the changes to mechanical behavior.