The paper introduces a novel data-driven homogenization model developed for the computation of stress-strain curves for composites featuring arbitrary orientation distributions, aspect ratios, and volume fractions of fibres. The objective of the proposed model is to deliver both time-efficient and accurate results while taking into account a relatively small database. The database is generated through numerical solutions of the equivalent inclusion problem, encompassing results for predefined orientations and aspect ratios of the single inclusion (fibre). The database created for a specific matrix-fibre system can be employed by the surrogate model to predict outcomes for various cases involving different fibre configurations. The surrogate model comprises four key modules: aspect ratio interpolation, a discrete orientation averaging procedure involving a genetic algorithm, a spatial transformation procedure, and an iterative Mori-Tanaka scheme. The validity of the proposed data-driven model has been confirmed by comparing the obtained results with those acquired through analysis of the complex representative volume element (RVE) using Fast Fourier Transform (FFT)-based homogenization, as well as through comparisons with experimental results from the existing literature.

中文翻译：

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基于等效夹杂问题数值解的数据驱动模型，用于分析非线性短纤维复合材料

本文介绍了一种新颖的数据驱动均质化模型，该模型用于计算具有任意取向分布、长宽比和纤维体积分数的复合材料的应力-应变曲线。所提出模型的目标是在考虑相对较小的数据库的同时提供省时且准确的结果。该数据库是通过等效夹杂物问题的数值解生成的，包含单个夹杂物（纤维）的预定义方向和纵横比的结果。替代模型可以利用为特定基质纤维系统创建的数据库来预测涉及不同纤维配置的各种情况的结果。代理模型包括四个关键模块：纵横比插值、涉及遗传算法的离散方向平均程序、空间变换程序和迭代 Mori-Tanaka 方案。通过将获得的结果与使用基于快速傅立叶变换（FFT）的均质化对复杂代表体积元素（RVE）进行分析获得的结果进行比较，以及与实验结果的比较，证实了所提出的数据驱动模型的有效性从现有文献来看。