A unified anisotropic phase field model for progressive failure of fiber-reinforced composite materials

IF 5 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY
Yuanfeng Yu , Chi Hou , Meiying Zhao
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引用次数: 0

Abstract

Fiber-reinforced composite materials have gained considerable traction in various applications due to their exceptional properties, but the multicomponent nature makes their failure modes more complex, so the research of failure mechanism for composites is very important for the safety of the structure in use. In this work, a new unified anisotropic phase field model is proposed. Firstly, a new crack surface density function is developed, drawing on the characteristics of both double and single phase field models, as well as the fracture behavior of composites. This new function retains the advantages of the previous models. Meanwhile, to more accurately portray failure behavior in matrix-dominated fractures, a new mixed-mode damage evolution driving force is presented. In addition, the analytical solution of the model is derived, and the relationships between the model parameters and stress and strain, together with crack bandwidth, are established. Furthermore, 2D and 3D Hashin failure criteria are derived from the phase field model, and the damage initiation criterion and evolution law of the model are constructed. Finally, the new model is validated by some examples, and the influences of the model parameters on the load-displacement response and the crack pattern are analyzed. The simulation results align well with the experimental findings, theoretical analyses, and reference numerical results, demonstrating the validity and accuracy of the presented model.
纤维增强复合材料渐进破坏的统一各向异性相场模型
纤维增强复合材料以其优异的性能得到了广泛的应用,但复合材料的多组分特性使其失效模式更为复杂,因此研究复合材料的失效机理对结构的安全使用具有重要意义。本文提出了一种新的统一的各向异性相场模型。首先,结合双相场模型和单相场模型的特点以及复合材料的断裂行为,建立了新的裂纹表面密度函数;这个新功能保留了以前型号的优点。同时,为了更准确地描述基质主导断裂的破坏行为,提出了一种新的混合模式损伤演化驱动力。推导了模型的解析解,建立了模型参数与应力应变及裂纹带宽的关系。在此基础上,推导了相场模型的二维和三维哈辛破坏准则,构建了模型的损伤起裂准则和演化规律。最后通过算例对新模型进行了验证,并分析了模型参数对荷载-位移响应和裂缝形态的影响。仿真结果与实验结果、理论分析和参考数值结果吻合良好,验证了模型的有效性和准确性。
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来源期刊
Journal of The Mechanics and Physics of Solids
Journal of The Mechanics and Physics of Solids 物理-材料科学:综合
CiteScore
9.80
自引率
9.40%
发文量
276
审稿时长
52 days
期刊介绍: The aim of Journal of The Mechanics and Physics of Solids is to publish research of the highest quality and of lasting significance on the mechanics of solids. The scope is broad, from fundamental concepts in mechanics to the analysis of novel phenomena and applications. Solids are interpreted broadly to include both hard and soft materials as well as natural and synthetic structures. The approach can be theoretical, experimental or computational.This research activity sits within engineering science and the allied areas of applied mathematics, materials science, bio-mechanics, applied physics, and geophysics. The Journal was founded in 1952 by Rodney Hill, who was its Editor-in-Chief until 1968. The topics of interest to the Journal evolve with developments in the subject but its basic ethos remains the same: to publish research of the highest quality relating to the mechanics of solids. Thus, emphasis is placed on the development of fundamental concepts of mechanics and novel applications of these concepts based on theoretical, experimental or computational approaches, drawing upon the various branches of engineering science and the allied areas within applied mathematics, materials science, structural engineering, applied physics, and geophysics. The main purpose of the Journal is to foster scientific understanding of the processes of deformation and mechanical failure of all solid materials, both technological and natural, and the connections between these processes and their underlying physical mechanisms. In this sense, the content of the Journal should reflect the current state of the discipline in analysis, experimental observation, and numerical simulation. In the interest of achieving this goal, authors are encouraged to consider the significance of their contributions for the field of mechanics and the implications of their results, in addition to describing the details of their work.
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