横向各向同性电-粘弹性固体的频谱速率构成方程的广义应变模型

IF 5 2区工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Journal of The Mechanics and Physics of Solids Pub Date : 2024-08-30 DOI:10.1016/j.jmps.2024.105838

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引用次数: 0

摘要

我们通过广义应变方法为具有短期记忆的非线性电-粘弹性横向各向同性固体的构成方程建模，该方法是对过去几十年来有关非线性固体力学方法的一种变革。我们的广义应变模型使用了具有明确物理解释的光谱不变式，因此在实验中很有吸引力。构成方程包含单变量函数，与多变量函数相比易于处理。通过边界值问题的结果分析了粘度和电场的影响。通过将我们的理论与实验数据进行比较，对所提出的原型的功效进行了仔细研究。

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A generalized strain model for spectral rate-dependent constitutive equation of transversely isotropic electro-viscoelastic solids

We model the constitutive equation for nonlinear electro-viscoelastic transversely isotropic solids with short term memory via a generalized strain method, where the method is a change with respect to the methods that have been done in the last decades regarding mechanics of nonlinear solids. Our generalized strain model uses spectral invariants with a clear physical interpretation and hence they are attractive for use in experiments. The constitutive equation contains single-variable functions, which are easy to deal with when compared to multivariable functions. The effects of viscosity and electric fields are analysed via the boundary value problem results. The efficacy the proposed prototype is scrutinized by comparing our theory with experimental data.

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来源期刊

Journal of The Mechanics and Physics of Solids 物理-材料科学：综合

CiteScore

9.80

自引率

9.40%

发文量

276

审稿时长

52 days

期刊介绍： The aim of Journal of The Mechanics and Physics of Solids is to publish research of the highest quality and of lasting significance on the mechanics of solids. The scope is broad, from fundamental concepts in mechanics to the analysis of novel phenomena and applications. Solids are interpreted broadly to include both hard and soft materials as well as natural and synthetic structures. The approach can be theoretical, experimental or computational.This research activity sits within engineering science and the allied areas of applied mathematics, materials science, bio-mechanics, applied physics, and geophysics. The Journal was founded in 1952 by Rodney Hill, who was its Editor-in-Chief until 1968. The topics of interest to the Journal evolve with developments in the subject but its basic ethos remains the same: to publish research of the highest quality relating to the mechanics of solids. Thus, emphasis is placed on the development of fundamental concepts of mechanics and novel applications of these concepts based on theoretical, experimental or computational approaches, drawing upon the various branches of engineering science and the allied areas within applied mathematics, materials science, structural engineering, applied physics, and geophysics. The main purpose of the Journal is to foster scientific understanding of the processes of deformation and mechanical failure of all solid materials, both technological and natural, and the connections between these processes and their underlying physical mechanisms. In this sense, the content of the Journal should reflect the current state of the discipline in analysis, experimental observation, and numerical simulation. In the interest of achieving this goal, authors are encouraged to consider the significance of their contributions for the field of mechanics and the implications of their results, in addition to describing the details of their work.