{"title":"Creep damage laws for bonded joints under pure mode I loading","authors":"R.F.M. Couto , M.F.S.F. de Moura , A.G. Magalhães , R.D.F. Moreira","doi":"10.1016/j.tafmec.2024.104346","DOIUrl":null,"url":null,"abstract":"<div><p>Nowadays, adhesively bonded joints constitute an emergent area, being applied in several industries, especially in the aviation sector. Research has been developed on the analysis of the mechanical behaviour of bonded joints, while establishing fracture characterisation in pure modes I and II, and in mixed-mode I + II. Despite of the significant developments in analysing of bonded joints under quasi-static and fatigue conditions, few studies have addressed other mechanical phenomena such as creep. On creep analysis, developments have been presented on damage modelling of metallic materials, including the use of cohesive zone modelling (CZM). This study presents an adaptation of the Kachanov-Rabotnov and Liu-Murakami damage models, including rheological parameters by using Maxwell, Voigt-Kelvin, and Burgers constitutive equations when creep loading is considered. Other stress degradation effects due to creep phenomena are also considered, incorporating power law and sin-hyperbolic based models. Twelve damage models are derived: Kachanov-Rabotnov-Maxwell (KRM), Kachanov-Rabotnov-Voigt-Kelvin (KRVK), Kachanov-Rabotnov-Burgers (KRB), Kachanov-Rabotnov-Maxwell-Sun (KRMS), Kachanov-Rabotnov-Voigt-Kelvin-Sun (KRVKS), Kachanov-Rabotnov-Burgers-Sun (KRBS), Liu-Murakami-Maxwell (LMM), Liu-Murakami-Voigt-Kelvin (LMVK), Liu-Murakami-Burgers (LMB), Liu-Murakami-Maxwell-Hyperbolic (LMMH), Liu-Murakami-Voigt-Kelvin-Hyperbolic (LMVKH), and Liu-Murakami-Burgers-Hyperbolic (LMBH). Resulting damage laws are appropriate for adhesives, but also for ductile polymers in general. The implementation of the derived laws in CZM was demonstrated, being capable of modelling primary, secondary, and tertiary creep phases under pure mode I loading. A parametric analysis was also performed, assessing the level of creep damage rate induced by each parameter and their effect on the creep curve shape. A theoretical basis was established in this study for further analysis of creep loaded adhesively bonded joints using CZM, where mixed-mode I + II can be considered in the future.</p></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"131 ","pages":"Article 104346"},"PeriodicalIF":5.0000,"publicationDate":"2024-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0167844224000958/pdfft?md5=f2571e0531edf0ce986ce996bd51ebe0&pid=1-s2.0-S0167844224000958-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Applied Fracture Mechanics","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167844224000958","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Nowadays, adhesively bonded joints constitute an emergent area, being applied in several industries, especially in the aviation sector. Research has been developed on the analysis of the mechanical behaviour of bonded joints, while establishing fracture characterisation in pure modes I and II, and in mixed-mode I + II. Despite of the significant developments in analysing of bonded joints under quasi-static and fatigue conditions, few studies have addressed other mechanical phenomena such as creep. On creep analysis, developments have been presented on damage modelling of metallic materials, including the use of cohesive zone modelling (CZM). This study presents an adaptation of the Kachanov-Rabotnov and Liu-Murakami damage models, including rheological parameters by using Maxwell, Voigt-Kelvin, and Burgers constitutive equations when creep loading is considered. Other stress degradation effects due to creep phenomena are also considered, incorporating power law and sin-hyperbolic based models. Twelve damage models are derived: Kachanov-Rabotnov-Maxwell (KRM), Kachanov-Rabotnov-Voigt-Kelvin (KRVK), Kachanov-Rabotnov-Burgers (KRB), Kachanov-Rabotnov-Maxwell-Sun (KRMS), Kachanov-Rabotnov-Voigt-Kelvin-Sun (KRVKS), Kachanov-Rabotnov-Burgers-Sun (KRBS), Liu-Murakami-Maxwell (LMM), Liu-Murakami-Voigt-Kelvin (LMVK), Liu-Murakami-Burgers (LMB), Liu-Murakami-Maxwell-Hyperbolic (LMMH), Liu-Murakami-Voigt-Kelvin-Hyperbolic (LMVKH), and Liu-Murakami-Burgers-Hyperbolic (LMBH). Resulting damage laws are appropriate for adhesives, but also for ductile polymers in general. The implementation of the derived laws in CZM was demonstrated, being capable of modelling primary, secondary, and tertiary creep phases under pure mode I loading. A parametric analysis was also performed, assessing the level of creep damage rate induced by each parameter and their effect on the creep curve shape. A theoretical basis was established in this study for further analysis of creep loaded adhesively bonded joints using CZM, where mixed-mode I + II can be considered in the future.
期刊介绍:
Theoretical and Applied Fracture Mechanics'' aims & scopes have been re-designed to cover both the theoretical, applied, and numerical aspects associated with those cracking related phenomena taking place, at a micro-, meso-, and macroscopic level, in materials/components/structures of any kind.
The journal aims to cover the cracking/mechanical behaviour of materials/components/structures in those situations involving both time-independent and time-dependent system of external forces/moments (such as, for instance, quasi-static, impulsive, impact, blasting, creep, contact, and fatigue loading). Since, under the above circumstances, the mechanical behaviour of cracked materials/components/structures is also affected by the environmental conditions, the journal would consider also those theoretical/experimental research works investigating the effect of external variables such as, for instance, the effect of corrosive environments as well as of high/low-temperature.