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Mathematical modeling of auxetic systems: bridging the gap between analytical models and observation
International Journal of Mechanical and Materials Engineering Pub Date : 2021-03-17 , DOI: 10.1186/s40712-020-00125-z
James N. Grima-Cornish , Joseph N. Grima , Daphne Attard

The Poisson’s ratio, a property which quantifies the changes in thickness when a material is stretched and compressed, can be determined as the negative of the transverse strain over the applied strain. In the scientific literature, there are various ways how strain may be defined and the actual definition used could result in a different Poisson’s ratio being computed. This paper will look in more detail at this by comparing the more commonly used forms of strain and the Poisson’s ratio that is computable from them. More specifically, an attempt is made to assess through examples on the usefulness of the various formulations to properly describe what can actually be observed, thus providing a clearer picture of which form of Poisson’s ratio should be used in analytical modelling.

中文翻译:

动力学系统的数学建模:弥合分析模型与观察模型之间的差距

泊松比是一种量化材料在拉伸和压缩时厚度变化的特性,可以确定为横向应变相对于所施加应变的负值。在科学文献中,有多种方法可以定义应变,而实际使用的定义可能会导致计算出不同的泊松比。本文将通过比较更常用的应变形式和可从中计算出的泊松比,来对此进行更详细的研究。更具体地说,尝试通过实例评估各种配方的有效性,以正确描述实际可观察​​到的内容,从而提供更清晰的图片,说明在分析建模中应使用哪种形式的泊松比。
更新日期:2021-03-17
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