Creep damage laws for bonded joints under pure mode I loading

IF 5 2区 工程技术 Q1 ENGINEERING, MECHANICAL Theoretical and Applied Fracture Mechanics Pub Date : 2024-02-27 DOI:10.1016/j.tafmec.2024.104346
R.F.M. Couto , M.F.S.F. de Moura , A.G. Magalhães , R.D.F. Moreira
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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.

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纯 I 模式加载下粘接接头的蠕变损伤规律
如今,粘接接头已成为一个新兴领域,应用于多个行业,尤其是航空领域。有关粘接接头机械性能分析的研究已经发展起来,同时建立了纯模式 I 和 II 以及混合模式 I + II 的断裂特征。尽管在分析准静态和疲劳条件下的粘接接头方面取得了重大进展,但很少有研究涉及蠕变等其他机械现象。在蠕变分析方面,金属材料的损伤建模,包括内聚区建模(CZM)的使用都取得了进展。本研究介绍了对 Kachanov-Rabotnov 和 Liu-Murakami 损伤模型的改编,在考虑蠕变加载时,通过使用麦克斯韦、Voigt-Kelvin 和 Burgers 构成方程,将流变参数包括在内。此外,还考虑了蠕变现象引起的其他应力退化效应,包括基于幂律和正弦双曲线的模型。推导出 12 个损伤模型: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)、刘村卡米-麦克斯韦(LMM)、刘村卡米-沃伊特-开尔文(LMVK)、刘村卡米-伯格斯(LMB)、刘村卡米-麦克斯韦-双曲(LMMH)、刘村卡米-沃伊特-开尔文-双曲(LMVKH)和刘村卡米-伯格斯-双曲(LMBH)。推导出的损伤定律不仅适用于粘合剂,也适用于一般的韧性聚合物。在 CZM 中演示了衍生定律的实施,能够模拟纯 I 模式加载下的一级、二级和三级蠕变阶段。此外,还进行了参数分析,评估了各参数引起的蠕变损伤率水平及其对蠕变曲线形状的影响。本研究为使用 CZM 进一步分析蠕变加载的粘合剂粘接接头奠定了理论基础,未来还可考虑混合模式 I + II。
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来源期刊
Theoretical and Applied Fracture Mechanics
Theoretical and Applied Fracture Mechanics 工程技术-工程:机械
CiteScore
8.40
自引率
18.90%
发文量
435
审稿时长
37 days
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.
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