This paper introduces a flexible and easy to use method for designing complex composite heterogeneous materials. These materials feature two distinct phases called $core$ and $matrix$ that remain separate and distinct. Moreover, composite materials have an internal microarchitecture that have to be precisely modeled. All the microarchitecture examples that are shown in this paper have been modeled in the same way, without any particular case nor having to use different implementation strategies or changing the source code depending on the microarchitecture.

The microarchitecture is modeled with a function that combines a material distribution function, which models the proportion of each phase at each point of the solid and determines the thickness of the core phase, and a cellular noise function based on distance fields that determines the shape, size, and distribution of the microarchitecture. Modeling the microarchitecture using two components gives our model great flexibility. In addition, it also allows to vary the size or thickness of the microarchitecture continuously inside the solid.

With this method, it is possible to model complex composite materials in which the phases (core and matrix) are in turn other composites with two distinct phases. Another important advantage of this method is that a complex object consisting of several different parts made of different materials can be modeled as a single computational object, which is very suitable for editing or computing simulations

本文介绍了一种用于设计复杂的复合异质材料的灵活且易于使用的方法。这些材料具有两个不同的阶段，称为$CØ\mathrm{[R}Ë$ 和 $米\mathrm{一种}Ť\mathrm{[R}\mathrm{一世}X$保持分离和独特。此外，复合材料具有内部微体系结构，必须对其进行精确建模。本文显示的所有微体系结构示例均以相同的方式建模，没有任何特殊情况，也不必使用不同的实现策略或根据微体系结构更改源代码。

微结构的建模功能包括材料分布函数和材料噪声函数，材料分布函数用于建模固体各点上每个相的比例并确定核心相的厚度，而蜂窝噪声函数则基于确定形状的距离场，微体系结构的大小和分布。使用两个组件对微体系结构进行建模使我们的模型具有极大的灵活性。此外，它还允许在内部连续改变微结构的大小或厚度。

使用这种方法，可以对复杂的复合材料进行建模，在这些复合材料中，相（核心和基体）依次为具有两个不同相的其他复合材料。此方法的另一个重要优点是，可以将由不同材料制成的几个不同部分组成的复杂对象建模为单个计算对象，这非常适合于编辑或计算仿真