A multiscale approach to visco-electro-elastic complex materials: Asymptotic homogenization versus high-frequency continualization schemes

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science Pub Date : 2025-07-10 DOI:10.1016/j.ijengsci.2025.104331

Rosaria Del Toro , Francesca Fantoni , Maria Laura De Bellis , Andrea Bacigalupo

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Abstract

This work deals with the study of the viscous effects on the electro-mechanical behavior of periodic materials paving the way for remarkable applications in many scientific fields. In a three-dimensional context, the constitutive equations that describe a visco-electro-elastic periodic material are recast into the complex frequency space via the two-sided Laplace transform yielding a Stroh-like formulation. Then, the governing equations are manipulated by means of the Floquet–Bloch transform to study the wave propagation and the characteristic equation, which is generalized for a periodic visco-electro-elastic laminate, is obtained and solved to achieve its frequency complex spectra. Thereafter, an asymptotic homogenization method and a continualization scheme, which is based on the kernel developed as a Padé approximant, are detailed to identify equivalent non-local visco-electro-elastic continua. Finally, the homogenized frequency band structures are compared with the heterogeneous one to validate the proposed models.

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粘-电弹性复合材料的多尺度方法：渐近均匀化与高频连续化方案

这项工作涉及对周期性材料机电行为的粘性效应的研究，为许多科学领域的显着应用铺平了道路。在三维环境中，描述粘-电弹性周期性材料的本构方程通过双面拉普拉斯变换被重铸到复频率空间中，从而产生类似斯特罗的公式。然后，利用Floquet-Bloch变换对控制方程进行处理，研究了波的传播，得到了周期粘电弹性层合板的广义特征方程，并对其进行了求解，得到了其频率复谱。在此基础上，提出了一种渐近均匀化方法和一种基于pad近似核的连续化方案来识别等效非局部粘-电弹性连续体。最后，将均匀频带结构与非均匀频带结构进行了比较，验证了所提模型的有效性。

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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来源期刊

International Journal of Engineering Science 工程技术-工程：综合

CiteScore

11.80

自引率

16.70%

发文量

审稿时长

45 days

期刊介绍： The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.