Effective toughness based on Eshelby transformation theory for heterogeneous composites

IF 3.4 3区工程技术 Q1 MECHANICS International Journal of Solids and Structures Pub Date : 2024-09-20 DOI:10.1016/j.ijsolstr.2024.113074

Yun Xu , Yao Long , Hengbing An , Jun Chen

{"title":"Effective toughness based on Eshelby transformation theory for heterogeneous composites","authors":"Yun Xu , Yao Long , Hengbing An , Jun Chen","doi":"10.1016/j.ijsolstr.2024.113074","DOIUrl":null,"url":null,"abstract":"<div><p>Predicting fracture toughness of heterogeneous composites is an important and challenging problem in physics and mechanics. The dependence of effective toughness on elastic properties of phases remains unclear. Considering that energy plays an essential role in crack propagation, an energy approach is proposed to obtain effective toughness in this study. We built the relationship between effective toughness and the homogenized local surface energy. The energy is constructed by generalizing Eshelby’s equivalent inclusion formulation to heterogeneous case, which couples physical features with elastic properties. An analytical formula of effective toughness can be derived for heterogeneous composites. Based on this formula, effects of toughness and elastic properties of the phases are discussed in depth, which reveals that how elastic heterogeneity can influence the effective toughness fundamentally. It is demonstrated that the predictions of concretes and metal toughening glasses agree well with experimental evidences.</p></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":null,"pages":null},"PeriodicalIF":3.4000,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Solids and Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020768324004335","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MECHANICS","Score":null,"Total":0}

引用次数: 0

Abstract

Predicting fracture toughness of heterogeneous composites is an important and challenging problem in physics and mechanics. The dependence of effective toughness on elastic properties of phases remains unclear. Considering that energy plays an essential role in crack propagation, an energy approach is proposed to obtain effective toughness in this study. We built the relationship between effective toughness and the homogenized local surface energy. The energy is constructed by generalizing Eshelby’s equivalent inclusion formulation to heterogeneous case, which couples physical features with elastic properties. An analytical formula of effective toughness can be derived for heterogeneous composites. Based on this formula, effects of toughness and elastic properties of the phases are discussed in depth, which reveals that how elastic heterogeneity can influence the effective toughness fundamentally. It is demonstrated that the predictions of concretes and metal toughening glasses agree well with experimental evidences.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

基于埃舍尔比转化理论的异质复合材料有效韧性

预测异质复合材料的断裂韧性是物理学和力学中一个重要而又具有挑战性的问题。有效韧性与各相弹性特性的关系仍不清楚。考虑到能量在裂纹扩展中起着至关重要的作用，本研究提出了一种能量方法来获得有效韧性。我们建立了有效韧性与均质化局部表面能之间的关系。能量是通过将 Eshelby 的等效包含公式推广到异质情况下而构建的，它将物理特征与弹性特性结合在一起。可以推导出异质复合材料的有效韧性分析公式。根据该公式，深入讨论了韧性和各相弹性特性的影响，揭示了弹性异质性如何从根本上影响有效韧性。结果表明，混凝土和金属增韧玻璃的预测结果与实验证据十分吻合。

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分钟内获得全文去求助

来源期刊

International Journal of Solids and Structures 物理-力学

CiteScore

6.70

自引率

8.30%

发文量

405

审稿时长

70 days

期刊介绍： The International Journal of Solids and Structures has as its objective the publication and dissemination of original research in Mechanics of Solids and Structures as a field of Applied Science and Engineering. It fosters thus the exchange of ideas among workers in different parts of the world and also among workers who emphasize different aspects of the foundations and applications of the field. Standing as it does at the cross-roads of Materials Science, Life Sciences, Mathematics, Physics and Engineering Design, the Mechanics of Solids and Structures is experiencing considerable growth as a result of recent technological advances. The Journal, by providing an international medium of communication, is encouraging this growth and is encompassing all aspects of the field from the more classical problems of structural analysis to mechanics of solids continually interacting with other media and including fracture, flow, wave propagation, heat transfer, thermal effects in solids, optimum design methods, model analysis, structural topology and numerical techniques. Interest extends to both inorganic and organic solids and structures.