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复合结构对温度分布的影响——基于有限差分法的分析

Influence of Composite Structure on Temperature Distribution-An Analysis Using the Finite Difference Method.

作者信息

Kubacka Ewelina, Ostrowski Piotr

机构信息

Department of Structural Mechanics, Łódź University of Technology, 93-590 Łódź, Poland.

出版信息

Materials (Basel). 2023 Jul 24;16(14):5193. doi: 10.3390/ma16145193.

DOI:10.3390/ma16145193
PMID:37512466
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10383285/
Abstract

Among composites, we can distinguish periodic structures, biperiodic structures, and structures with a functional gradation of material properties made of two or more materials. The selection of the composite's constituent materials and the way they are distributed affects the weight of the composite, its strength, and other properties, as well as the way it conducts heat. This work is about studying the temperature distribution in composites, depending on the type of component material and its location. For this purpose, the Tolerance Averaging Technique and the Finite Difference Method were used. Differential equations describing heat conduction phenomena were obtained using the Tolerance Averaging Technique, while the Finite Difference Method was used to solve them. In terms of results, temperature distribution plots were produced showing the effect of the structure of the composite on the heat transfer properties.

摘要

在复合材料中,我们可以区分出周期性结构、双周期性结构以及由两种或更多种材料制成的具有材料性能功能梯度的结构。复合材料组成材料的选择及其分布方式会影响复合材料的重量、强度和其他性能,以及其热传导方式。这项工作是关于研究复合材料中的温度分布,这取决于组成材料的类型及其位置。为此,使用了容差平均技术和有限差分法。利用容差平均技术获得了描述热传导现象的微分方程,而有限差分法则用于求解这些方程。在结果方面,绘制了温度分布图,展示了复合材料结构对传热性能的影响。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7cad/10383285/10403cfcb5a3/materials-16-05193-g020.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7cad/10383285/1a8823c18741/materials-16-05193-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7cad/10383285/efd3d3e6a047/materials-16-05193-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7cad/10383285/f59d4d0c80f2/materials-16-05193-g012.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7cad/10383285/c50360042b4e/materials-16-05193-g018.jpg
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本文引用的文献

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Materials (Basel). 2023 Mar 4;16(5):2096. doi: 10.3390/ma16052096.
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Tolerance Modelling of Vibrations of a Sandwich Plate with Honeycomb Core.带蜂窝芯夹层板振动的公差建模
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Comparison of the Natural Vibration Frequencies of Timoshenko and Bernoulli Periodic Beams.铁木辛柯梁和伯努利梁的固有振动频率比较。
Materials (Basel). 2021 Dec 11;14(24):7628. doi: 10.3390/ma14247628.
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A Finite Difference Algorithm Applied to the Averaged Equations of the Heat Conduction Issue in Biperiodic Composites-Robin Boundary Conditions.一种应用于双周期复合材料热传导问题平均方程的有限差分算法——罗宾边界条件
Materials (Basel). 2021 Oct 23;14(21):6329. doi: 10.3390/ma14216329.
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