在同质化的二度梯度介质中波传播分析:一种直接和反向的方法
Fadheelah Al Fayadh1, Hassan Lakiss2, Hilal Reda1,3
1Faculty of Engineering, Section III, Lebanese University, Campus Rafic Hariri, Beirut 1001, Lebanon.
Materials (Basel, Switzerland)
|September 27, 2025
概括
本研究介绍了2D复合材料的新同质化方法,结合了应变梯度效应以捕捉尺寸和微观结构的影响. 这种方法准确地预测了材料特性和波传播行为.
科学领域:
- 连续力学 连续力学
- 材料科学 材料科学 材料科学
- 计算力学 计算力学 计算力学
背景情况:
- 经典考希弹性无法捕捉材料中的尺寸和微观结构效应.
- 同质化方法对于理解复合材料的行为至关重要.
- 应变梯度弹性提供了一个更全面的构成模型.
研究的目的:
- 开发一种2D周期性复合材料的同质化方法,使用二阶梯度连续模型.
- 为了提高准确性,将应变梯度效应纳入构成性法律中.
- 研究这些复合材料中的波传播以及微观结构特征的影响.
主要方法:
- 使用变化方法和希尔的宏观同质性条件制定一个宪法法.
- 对具有内部长度效应的复合材料有效应变梯度模块的计算.
- 开发一种逆同质化方法,以确定局部材料特性.
- 对纵向和剪切波传播的分析,考虑包含形状,体积分数和属性对比.
主要成果:
- 提出的方法成功地捕捉了弹性尺寸和微观结构的影响.
- 计算了有效的应变梯度模块,通过应变能量计算验证了该方法.
- 反向均质化方法与文献数据有很好的一致性.
- 圆的内置稍微增加了波长和剪波的波传播速度.
- 特性对比显著影响波浪分散.
结论:
- 开发的同质化框架有效地模拟了带有应变梯度效应的二维复合材料.
- 该研究提供了对微观结构参数对波传播的影响的见解.
- 这项工作为分析复杂的复合行为和预测它们的机械反应提供了一个强大的方法.
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