具有手性的第二梯度弹性的有效介质理论

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Grigor Nika, Adrian Muntean
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引用次数: 0

摘要

我们推导了考虑到手性尺度效应的异质第二梯度弹性材料的有效模型。我们对有效方程的分类取决于四个特征长度的层次结构:异质ℓ 的大小、成分 ℓSG 和 ℓ 手性的本征长度以及域的整体特征长度 L。根据 ℓSG、ℓ 手性、ℓ 和 L 之间不同的尺度相互作用,我们可以得到有效的考奇连续体或有效的第二梯度连续体。工作技术结合了缩放论证和周期均质化渐近过程。进入均质化极限和揭示校正器结构都依赖于对周期性展开算子的适当使用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Effective medium theory for second-gradient elasticity with chirality
We derive effective models for a heterogeneous second-gradient elastic material taking into account chiral scale-size effects. Our classification of the effective equations depends on the hierarchy of four characteristic lengths: The size of the heterogeneities ℓ, the intrinsic lengths of the constituents ℓSG and ℓchiral, and the overall characteristic length of the domain L. Depending on the different scale interactions between ℓSG, ℓchiral, ℓ, and L we obtain either an effective Cauchy continuum or an effective second-gradient continuum. The working technique combines scaling arguments with the periodic homogenization asymptotic procedure. Both the passage to the homogenization limit and the unveiling of the correctors’ structure rely on a suitable use of the periodic unfolding operator.
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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