A homogenization scheme for viscoplastic composites based on the plane-wave decomposition of constitutive potentials

IF 1.9 4区工程技术 Q3 MECHANICS

Mechanics Research Communications Pub Date : 2024-12-01 DOI:10.1016/j.mechrescom.2024.104349

Martín I. Idiart , Loïc Chaix , Pedro Ponte Castañeda

引用次数: 0

Abstract

A homogenization scheme for nonlinear viscoplastic composites is developed on the basis of a plane-wave decomposition of the constitutive potentials and a scalar linearization of the generalized-secant type. Self-consistent predictions for rigidly reinforced blends flowing in accordance with a power law are reported and confronted to similar predictions obtained with a tensorial linearization of the same generalized-secant type. The two sets of predictions are found to agree for weak nonlinearities but to diverge for strong nonlinearities. Implications are discussed.

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基于本构势平面波分解的粘塑性复合材料均匀化方案

基于本构势的平面波分解和广义割线型的标量线性化，提出了非线性粘塑性复合材料的均匀化方案。报告了刚性增强共混物按照幂律流动的自洽预测，并与相同的广义割线型张量线性化得到的类似预测相比较。这两组预测在弱非线性情况下是一致的，但在强非线性情况下是不一致的。讨论了影响。

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

Mechanics Research Communications 物理-力学

CiteScore

4.10

自引率

4.20%

发文量

114

审稿时长

9 months

期刊介绍： Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.