多轴载荷作用下体心立方和八晶格结构屈服面的均匀化

IF 3.8 3区 工程技术 Q1 MECHANICS
Zhi Chen, Dan Mordehai
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引用次数: 0

摘要

晶格结构由于其优异的单位重量机械性能而越来越受欢迎。模拟这些结构的计算要求很高,而均匀化它们的力学响应是模拟多孔材料的一种很有前途的方法。虽然关注弹性响应,但对屈服面的讨论较少,特别是在多轴加载条件下。在本研究中,我们考虑了体心立方(BCC)和八面晶格结构作为两种具有代表性的结构,并探讨了均匀化模型的屈服准则。采用有限元模型(FEM)模拟了不同加载条件下的网格:单轴压缩、简单剪切、比例双轴和三轴加载,并根据等效塑性功原理定义了屈服状态。BCC和八元体结构均服从各向异性屈服,而BCC在剪切方向比压缩方向更强,具有更强的各向异性。研究了不同的均质屈服准则,发现具有无符号平均应力项的Liu-Huang-Stout屈服准则与模拟结果最具可比性。该模型具有各向异性,考虑了平均应力的线性依赖性,是描述晶格结构多轴塑性行为的最佳候选者。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Homogenization of the yield surface of body-centered cubic and octet lattice structures under multiaxial loadings

Homogenization of the yield surface of body-centered cubic and octet lattice structures under multiaxial loadings
Lattice structures are gaining increasing popularity, owing to their superior mechanical properties per weight. Modelling these structures is computationally demanding, and homogenizing their mechanical response is a promising approach to model porous materials. While attention is paid to the elastic response, the yield surface is less discussed, especially in multiaxial loading conditions. In this study, we consider body-centered cubic (BCC) and octet lattice structures as two representative structures, and explore yield criteria for a homogenized model. We use finite element modelling (FEM) to simulate lattices under various loading conditions: uniaxial compression, simple shearing, proportional biaxial and triaxial loadings, and define the yield states based on the principle of equivalent plastic work. Both BCC and octet structures obey anisotropic yielding, while BCC is stronger in shearing than in compression direction, making it more anisotropic. We explore different homogenized yield criteria and find that Liu–Huang–Stout yield criterion, with unsigned mean stress term, is the most comparable to the simulation results. This model, which is anisotropic and considers a linear dependence of mean stress, was found to be the best candidate to describe the multiaxial plastic behavior of lattice structures.
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来源期刊
CiteScore
6.70
自引率
8.30%
发文量
405
审稿时长
70 days
期刊介绍: The International Journal of Solids and Structures has as its objective the publication and dissemination of original research in Mechanics of Solids and Structures as a field of Applied Science and Engineering. It fosters thus the exchange of ideas among workers in different parts of the world and also among workers who emphasize different aspects of the foundations and applications of the field. Standing as it does at the cross-roads of Materials Science, Life Sciences, Mathematics, Physics and Engineering Design, the Mechanics of Solids and Structures is experiencing considerable growth as a result of recent technological advances. The Journal, by providing an international medium of communication, is encouraging this growth and is encompassing all aspects of the field from the more classical problems of structural analysis to mechanics of solids continually interacting with other media and including fracture, flow, wave propagation, heat transfer, thermal effects in solids, optimum design methods, model analysis, structural topology and numerical techniques. Interest extends to both inorganic and organic solids and structures.
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