Reinforcement of fibrous composites by stiff particles embedded in the matrix offers the potential for simple, economical functional grading, enhanced response to mechanical loads, and improved functioning at high temperatures. Here, we consider laminated plates made of such a material, with spherical reinforcement tailored by layer. The moduli for this material lie within relatively narrow bounds. Two separate moduli estimates are considered: a "two-step" approach in which fibers are embedded in a homogenized particulate matrix, and the Kanaun-Jeulin (2001) approach, which we re-derive in a simple way using the Benveniste (1988) method. Optimal tailoring of a plate is explored, and functional grading is shown to improve the performance of the structures considered. In the example of a square, simply supported, cross-ply laminated panel subjected to uniform transverse pressure, a modest functional grading offers significant improvement in performance. A second example suggests superior blast resistance of the panel achieved at the expense of only a small increase in weight.

中文翻译：

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功能梯度、颗粒基体、纤维增强复合材料的微观力学和结构响应

通过嵌入基体中的硬质颗粒增强纤维复合材料提供了简单、经济的功能分级、增强对机械载荷的响应以及改善高温下的功能的潜力。在这里，我们考虑由这种材料制成的层压板，具有逐层定制的球形增强材料。这种材料的模量在相对狭窄的范围内。考虑了两个单独的模量估计：一种“两步”方法，其中纤维嵌入均质颗粒基质中，以及 Kanaun-Jeulin (2001) 方法，我们使用 Benveniste (1988) 以简单的方式重新推导方法。探索了板的最佳剪裁，并显示了功能分级以提高所考虑结构的性能。在正方形的例子中，简单支撑，交叉层层压板受到均匀的横向压力，适度的功能分级可显着提高性能。第二个例子表明，仅以轻微的重量增加为代价就可以实现面板的优异防爆性能。