纤维增强弹性壳：直接 Cosserat 方法

IF 1.8 3区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

Journal of Elasticity Pub Date : 2024-02-19 DOI:10.1007/s10659-024-10052-1

Ryan C. McAvoy

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引用次数: 0

摘要

我们提出了纤维增强弹性壳的直接理论。我们的框架利用 Cosserat 弹性理论来模拟结构的壳状性质和嵌入式纤维响应。为此，我们将 Cosserat 连续体的多导理论与纤维在表面上作为材料曲线对流的额外约束合并在一起。虚拟功率声明提供了平衡方程。我们还提出了一种无坐标公式，并以对材料对称性的讨论作为结束。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Fiber-Reinforced Elastic Shells: A Direct Cosserat Approach

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Fiber-Reinforced Elastic Shells: A Direct Cosserat Approach

We formulate a direct theory for fiber-reinforced elastic shells. Our framework utilizes the Cosserat theory of elasticity to model both the shell-like nature of the structure and the embedded fiber response. To this end, we merge the multiple-director theory of Cosserat continua with the additional constraint that the fibers convect as material curves on the surface. The virtual power statement furnishes the equilibrium equations. We also present a coordinate-free formulation and close with a discussion of material symmetry.

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来源期刊

Journal of Elasticity 工程技术-材料科学：综合

CiteScore

3.70

自引率

15.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Elasticity was founded in 1971 by Marvin Stippes (1922-1979), with its main purpose being to report original and significant discoveries in elasticity. The Journal has broadened in scope over the years to include original contributions in the physical and mathematical science of solids. The areas of rational mechanics, mechanics of materials, including theories of soft materials, biomechanics, and engineering sciences that contribute to fundamental advancements in understanding and predicting the complex behavior of solids are particularly welcomed. The role of elasticity in all such behavior is well recognized and reporting significant discoveries in elasticity remains important to the Journal, as is its relation to thermal and mass transport, electromagnetism, and chemical reactions. Fundamental research that applies the concepts of physics and elements of applied mathematical science is of particular interest. Original research contributions will appear as either full research papers or research notes. Well-documented historical essays and reviews also are welcomed. Materials that will prove effective in teaching will appear as classroom notes. Computational and/or experimental investigations that emphasize relationships to the modeling of the novel physical behavior of solids at all scales are of interest. Guidance principles for content are to be found in the current interests of the Editorial Board.