A new exploration of mesoscopic structure in the nonlocal macro-meso-scale consistent damage model for quasi-brittle materials

IF 6.9 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Computer Methods in Applied Mechanics and Engineering Pub Date : 2024-10-16 DOI:10.1016/j.cma.2024.117456
Jianbing Chen, Jiankang Xie, Guangda Lu
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Abstract

In the present study, a new exploration of the mesoscopic structure is proposed for the nonlocal macro‑meso-scale consistent damage (NMMD) model, and the definition from mesoscopic damage to macroscopic damage in the original NMMD model is expanded. In the proposed model, material points are divided into two types: macroscopic and mesoscopic. For each macroscopic material point, there are mesoscopic material points within its influence domain, and every two different mesoscopic material points form a material point pair. The macroscopic damage at a macroscopic material point is also evaluated as the weighted average of mesoscale damage over material point pairs in the influence domain. However, compared with the original NMMD model, the mesoscale damage of material point pairs is determined by the motion of mesoscopic material points, rather than macroscopic material points. The macroscopic material points in the proposed model only represent the nonlocal effect and the macroscopic damage. Moreover, the shape of the influence domain and the arrangement of material point pairs are arbitrary and not fixed, i.e., the unified mesoscopic structure is abstract. To verify the proposed model, a specific mesoscopic structure is generated for quasi-brittle materials without considering the randomness of material properties. In this mesoscopic structure, the shape of the influence domain is a circle, and the mesoscopic material points are generated by the tangent sphere method. The numerical results indicate that the proposed model can accurately capture the crack patterns of quasi-brittle materials and exhibits excellent numerical robustness. Meanwhile, through a mode-I failure example, it is demonstrated that the computational efficiency of the proposed model is not lower than the original NMMD model. More importantly, the framework of mesoscopic structure modeling provides a new feasible approach for the extension of other models, e.g., virtual internal bond model and peridynamics. The urgent work within the NMMD model framework is to extend the proposed model to anisotropic, composite materials and dynamic crack simulation of large structures in the future.
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准脆性材料非局部宏观-介观尺度一致损伤模型的介观结构新探索
本研究对非局部宏观-介观尺度一致损伤(NMMD)模型的介观结构提出了新的探索,并扩展了原 NMMD 模型中从介观损伤到宏观损伤的定义。在所提出的模型中,材料点分为两种类型:宏观和中观。每个宏观材料点的影响域内都有介观材料点,每两个不同的介观材料点组成一个材料点对。宏观材料点的宏观损伤也是以影响域内材料点对的中观损伤的加权平均值来评估的。不过,与最初的 NMMD 模型相比,材料点对的中尺度损伤是由中观材料点的运动而不是宏观材料点的运动决定的。拟议模型中的宏观材料点仅代表非局部效应和宏观损伤。此外,影响域的形状和材料点对的排列是任意的,并不固定,即统一的介观结构是抽象的。为了验证所提出的模型,在不考虑材料属性随机性的情况下,为准脆性材料生成了一个特定的介观结构。在该介观结构中,影响域的形状为圆,介观材料点由切球法生成。数值结果表明,所提出的模型能准确捕捉准脆性材料的裂纹模式,并表现出优异的数值鲁棒性。同时,通过一个 I 型失效实例,证明了所提出模型的计算效率并不比原始 NMMD 模型低。更重要的是,介观结构建模框架为其他模型(如虚拟内结合模型和周动力学模型)的扩展提供了一种新的可行方法。在 NMMD 模型框架内亟待开展的工作是将提出的模型扩展到各向异性材料、复合材料以及未来大型结构的动态裂缝模拟。
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来源期刊
CiteScore
12.70
自引率
15.30%
发文量
719
审稿时长
44 days
期刊介绍: Computer Methods in Applied Mechanics and Engineering stands as a cornerstone in the realm of computational science and engineering. With a history spanning over five decades, the journal has been a key platform for disseminating papers on advanced mathematical modeling and numerical solutions. Interdisciplinary in nature, these contributions encompass mechanics, mathematics, computer science, and various scientific disciplines. The journal welcomes a broad range of computational methods addressing the simulation, analysis, and design of complex physical problems, making it a vital resource for researchers in the field.
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