基于静水应力的韧性断裂变分相场模型

IF 2.1 3区工程技术 Q3 MECHANICS

Meccanica Pub Date : 2025-06-25 DOI:10.1007/s11012-025-01971-x

Anne-Sophie Sur, Laura De Lorenzis, Corrado Maurini, Odd Sture Hopperstad

{"title":"基于静水应力的韧性断裂变分相场模型","authors":"Anne-Sophie Sur, Laura De Lorenzis, Corrado Maurini, Odd Sture Hopperstad","doi":"10.1007/s11012-025-01971-x","DOIUrl":null,"url":null,"abstract":"<div><p>We model ductile fracture for geometrically linear deformations by coupling plasticity and phase-field fracture models in a variationally consistent framework. The main aim of the proposed model is to account for the effect of stress triaxiality, in order to accurately reproduce ductile fracture, in particular, the instant and location of fracture initiation. For this purpose, we couple the modified Cam-Clay plasticity model with a phase-field fracture model. We study the behaviour of the model analytically in terms of homogeneous material responses, and numerically on plane-strain and axisymmetric specimens under tension with different notches.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":"60 8","pages":"2151 - 2175"},"PeriodicalIF":2.1000,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11012-025-01971-x.pdf","citationCount":"0","resultStr":"{\"title\":\"A variational phase-field model for ductile fracture depending on hydrostatic stresses\",\"authors\":\"Anne-Sophie Sur, Laura De Lorenzis, Corrado Maurini, Odd Sture Hopperstad\",\"doi\":\"10.1007/s11012-025-01971-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We model ductile fracture for geometrically linear deformations by coupling plasticity and phase-field fracture models in a variationally consistent framework. The main aim of the proposed model is to account for the effect of stress triaxiality, in order to accurately reproduce ductile fracture, in particular, the instant and location of fracture initiation. For this purpose, we couple the modified Cam-Clay plasticity model with a phase-field fracture model. We study the behaviour of the model analytically in terms of homogeneous material responses, and numerically on plane-strain and axisymmetric specimens under tension with different notches.</p></div>\",\"PeriodicalId\":695,\"journal\":{\"name\":\"Meccanica\",\"volume\":\"60 8\",\"pages\":\"2151 - 2175\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2025-06-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s11012-025-01971-x.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Meccanica\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11012-025-01971-x\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Meccanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s11012-025-01971-x","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}

引用次数: 0

摘要

我们在变分一致的框架中通过耦合塑性和相场断裂模型来模拟几何线性变形的韧性断裂。该模型的主要目的是考虑应力三轴性的影响，以便准确地再现韧性断裂，特别是断裂起裂的瞬间和位置。为此，我们将修正的Cam-Clay塑性模型与相场断裂模型相耦合。我们从均匀材料响应的角度对模型的行为进行了解析研究，并对平面应变和轴对称试样在不同缺口的拉伸下的行为进行了数值研究。

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

A variational phase-field model for ductile fracture depending on hydrostatic stresses

We model ductile fracture for geometrically linear deformations by coupling plasticity and phase-field fracture models in a variationally consistent framework. The main aim of the proposed model is to account for the effect of stress triaxiality, in order to accurately reproduce ductile fracture, in particular, the instant and location of fracture initiation. For this purpose, we couple the modified Cam-Clay plasticity model with a phase-field fracture model. We study the behaviour of the model analytically in terms of homogeneous material responses, and numerically on plane-strain and axisymmetric specimens under tension with different notches.

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

Meccanica 物理-力学

CiteScore

4.70

自引率

3.70%

发文量

151

审稿时长

7 months

期刊介绍： Meccanica focuses on the methodological framework shared by mechanical scientists when addressing theoretical or applied problems. Original papers address various aspects of mechanical and mathematical modeling, of solution, as well as of analysis of system behavior. The journal explores fundamental and applications issues in established areas of mechanics research as well as in emerging fields; contemporary research on general mechanics, solid and structural mechanics, fluid mechanics, and mechanics of machines; interdisciplinary fields between mechanics and other mathematical and engineering sciences; interaction of mechanics with dynamical systems, advanced materials, control and computation; electromechanics; biomechanics. Articles include full length papers; topical overviews; brief notes; discussions and comments on published papers; book reviews; and an international calendar of conferences. Meccanica, the official journal of the Italian Association of Theoretical and Applied Mechanics, was established in 1966.