粘弹性材料的广义时域构成有限元方法

IF 1.9 4区 材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY
Eric Abercrombie, J Gregory McDaniel, Timothy Walsh
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引用次数: 0

摘要

尽管已经有了粘弹性材料的时域有限元公式,但仍有很多方法可以改进分析。就作者所知,问题的表述总是针对单一的构成关系,因此限制了实施者使用单一的方案来建立松弛模型。此外,目前所有的构成关系都涉及到为一个分析函数寻找拟合参数,这是一个非常痛苦的过程,因此至今仍需要对最佳拟合程序进行研究。相比之下,本研究首次从基本原理出发,对二维问题进行了全面推导。这也是对问题的首次概括,使用户无需重新推导或重新表达问题即可自由选择构成关系。这种方法也是第一种可以消除表示粘弹性材料松弛的构成关系的方法。在全面推导之后,我们将概述几种常见的构成关系,并分析如何以广义形式最佳地实现这些关系。此外,还提供了几种粘弹性项的表达式,并给出了线性、二次和指数插值假设。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A generalized time-domain constitutive finite element approach for viscoelastic materials
Despite the existence of time domain finite element formulations for viscoelastic materials, there are still substantial ways to improve the analysis. To the authors’ knowledge, the formulation of the problem is always done with respect to a single constitutive relation and so limits the implementer to a single scheme with which to model relaxation. Furthermore, all current constitutive relations involve the finding of fitting parameters for an analytical function, which is a sufficiently painful process to warrant the study of best fitting procedures to this day. In contrast, this effort is the first full derivation of the two dimensional problem from fundamental principles. It is also the first generalization of the problem, which frees users to select constitutive relations without re-derivation or re-expression of the problem. This approach is also the first approach to the problem that could lead to the elimination of constitutive relations for representing relaxation in viscoelastic materials. Following, the full derivation, several common constitutive relations are outlined with analysis of how they may best be implemented in the generalized form. Several expressions for viscoelastic terms are also provided given linear, quadratic, and exponential interpolation assumptions.
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来源期刊
CiteScore
3.30
自引率
5.60%
发文量
96
审稿时长
1.7 months
期刊介绍: Serving the multidisciplinary materials community, the journal aims to publish new research work that advances the understanding and prediction of material behaviour at scales from atomistic to macroscopic through modelling and simulation. Subject coverage: Modelling and/or simulation across materials science that emphasizes fundamental materials issues advancing the understanding and prediction of material behaviour. Interdisciplinary research that tackles challenging and complex materials problems where the governing phenomena may span different scales of materials behaviour, with an emphasis on the development of quantitative approaches to explain and predict experimental observations. Material processing that advances the fundamental materials science and engineering underpinning the connection between processing and properties. Covering all classes of materials, and mechanical, microstructural, electronic, chemical, biological, and optical properties.
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