分析随机复合材料有效性质的计算策略-第二部分:弹性
Roman Czapla1, Piotr Drygaś2, Simon Gluzman3
1Institute of Security and Computer Science, University of National Education Commission, Podchorążych 2, 30-084 Krakow, Poland.
Materials (Basel, Switzerland)
|November 13, 2025
概括
本研究引入了复合材料中有效弹性常数的新公式,展示了包含位置如何影响性能. 它修订了代表体积元素 (RVE) 概念,用于准确的复合材料分析.
科学领域:
- 连续力学 连续力学
- 材料科学 材料科学 材料科学
- 复合材料理论 复合材料理论
背景情况:
- 在复合材料中计算有效弹性常数的传统方法往往缺乏明确依赖包括位置.
- 以前的数值模拟仅限于固定的物质常数和包含位置.
- 代表体积元素 (RVE) 概念虽然有用,但需要严格的定义才能进行准确的分析.
研究的目的:
- 开发一种用于量化弹性平面复合材料宏观性质的新策略.
- 为有效弹性常量推导出新的分析和近似公式,明确显示取决于包含位置的依赖性.
- 将分散随机复合材料的分析扩展到二维弹性系统,并修订RVE概念.
主要方法:
- 开发一个分析-数值算法来导出有效常数的表达式.
- 严格证明RVE必须是平面的基本域 (例如,周期平行四边形).
- 将有效弹性张量分解为几何和物理部分,从而实现了新的计算方法.
主要成果:
- 介绍了分散随机复合物的有效弹性常数的新分析和近似公式.
- 证明了有效张量对包含和计算协议的几何概率分布的明确依赖.
- 有效剪模的实用表达式,适用于所有包含度,是使用回归方法来得出的.
结论:
- 修订后的RVE定义对于在弹性复合材料中获得正确的有效常数至关重要.
- 拟议的方法允许明确分析包括分布如何影响复合物质的特性.
- 该研究为更准确地预测各种复合材料有效弹性特性提供了一个框架.
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