Cosserat微极性弹性:经典Eringen与位错形式

IF 0.9 4区材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY

Journal of Mechanics of Materials and Structures Pub Date : 2022-06-06 DOI:10.2140/jomms.2023.18.93

I. Ghiba, G. Rizzi, A. Madeo, P. Neff

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引用次数: 8

摘要

在本文中，我们从两个角度对线性各向同性Cosserat弹性模型进行了比较介绍：用微旋转矢量的经典Mindlin-Eringen-Nowacki描述和用斜对称矩阵和位错形式的曲率能的新公式。我们为读者提供了各向同性Cosserat模型的能量的替代表示，以便于与松弛微形态模型和几何非线性Cosserat弹性模型进行比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Cosserat micropolar elasticity: classical Eringen vs. dislocation form

In this paper we do a comparative presentation of the linear isotropic Cosserat elastic model from two perspectives: the classical Mindlin-Eringen-Nowacki description in terms of a microrotation vector and a new formulation in terms of a skew-symmetric matrix and a curvature energy in dislocation form. We provide the reader with an alternative representation of the energy for the isotropic Cosserat model to ease the comparison with the relaxed micromorphic model and the geometrically nonlinear Cosserat elastic model.

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来源期刊

Journal of Mechanics of Materials and Structures 工程技术-材料科学：综合

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Drawing from all areas of engineering, materials, and biology, the mechanics of solids, materials, and structures is experiencing considerable growth in directions not anticipated a few years ago, which involve the development of new technology requiring multidisciplinary simulation. The journal stimulates this growth by emphasizing fundamental advances that are relevant in dealing with problems of all length scales. Of growing interest are the multiscale problems with an interaction between small and large scale phenomena.