多尺度材料的弯曲壳理论\(3D\)非线性弹性

IF 1.4 3区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

Journal of Elasticity Pub Date : 2025-07-23 DOI:10.1007/s10659-025-10154-4

Tiziana Durante, Luisa Faella, Pedro Hernández-Llanos, Ravi Prakash

引用次数: 0

摘要

本文从三维非线性弹性出发，导出了均质弯曲壳理论。原始的三维模型包含三个小参数：材料性能的两个均化尺度\(\varepsilon \)和\(\varepsilon ^{2}\)以及壳的厚度\(h\)。根据这三个参数的不同比值的极限，得到了不同的极限行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Bending Shell Theories for Multiscale Materials from \(3D\) Nonlinear Elasticity

This article derives homogenized bending shell theories starting from three-dimensional nonlinear elasticity. The original three-dimensional model contains three small parameters: the two homogenization scales \(\varepsilon \) and \(\varepsilon ^{2}\) of the material properties and the thickness \(h\) of the shell. We obtain different limiting behaviors depending on the limit of various ratios of these three parameters.

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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.