A multi-linear constitutive relation considering the temperature effect on quasi-static mode I delamination in UD/MD laminates

IF 6.3 2区材料科学 Q1 MATERIALS SCIENCE, COMPOSITES

Composite Structures Pub Date : 2024-11-05 DOI:10.1016/j.compstruct.2024.118691

Luohuan Zou , Yu Gong , Dingli Tian , Yuting Gao , Jianyu Zhang , Libin Zhao , Ning Hu

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引用次数: 0

Abstract

In this study, a multi-linear constitutive relation taking into account temperature and fiber bridging is proposed for characterizing delamination behavior in composite laminates under various temperature conditions. An approach combining analytical solution and J-integral is also established for determining the cohesive parameters in the multi-linear constitutive relation. To validate the proposed constitutive relation, mode I quasi-static delamination experiments of unidirectional (UD) and multidirectional (MD) carbon/bismaleimide laminates are carried out at 25 ℃ (room temperature), 80 °C and 130 ℃. The experimental results show that the increasing temperature resulted in a monotonic increase in the fracture toughness of the UD laminates while affect the fracture toughness of MD laminates slightly. A FE model is established with the implementation of the proposed multi-linear constitutive relation using UMAT subroutine. Good agreements between the experimental and simulated results demonstrate the validity of the proposed constitutive relation, with the relative difference of peak load between predicted and experimental values less than 8.2 % and the relative difference of initial and steady-state fracture toughness between predicted and tested results less than 15 %. This study provides the possibility to numerically study the temperature effect on the delamination behavior of laminates and has promising applications in the damage tolerance design of composite structures.

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考虑温度对 UD/MD 层板准静态 I 模式分层影响的多线性组合关系

本研究提出了一种考虑温度和纤维桥接的多线性构成关系，用于描述各种温度条件下复合材料层压板的分层行为。此外，还建立了一种结合分析求解和 J 积分的方法，用于确定多线性构成关系中的内聚参数。为了验证所提出的构成关系，在 25 ℃（室温）、80 ℃ 和 130 ℃ 下对单向（UD）和多向（MD）碳/双马来酰亚胺层压板进行了模式 I 准静态分层实验。实验结果表明，温度升高导致 UD 层压板的断裂韧性单调上升，而对 MD 层压板的断裂韧性影响较小。通过使用 UMAT 子程序实现所提出的多线性构成关系，建立了一个有限元模型。实验结果和模拟结果之间的良好一致性证明了所提出的构成关系的有效性，预测值和实验值之间的峰值载荷相对差异小于 8.2%，预测值和测试结果之间的初始和稳态断裂韧性相对差异小于 15%。这项研究为数值研究温度对层压板分层行为的影响提供了可能，在复合材料结构的损伤容限设计中具有广阔的应用前景。

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来源期刊

Composite Structures 工程技术-材料科学：复合

CiteScore

12.00

自引率

12.70%

发文量

1246

审稿时长

78 days

期刊介绍： The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials. The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.