Abstract A large number of materials have a stochastic fiber network as their main structural component. In some cases, the network is embedded in a matrix, while in some other cases materials are made exclusively from fibers. The field of homogenization and constitutive modeling of fibrous composites with solid matrix is well developed. However, situations in which the fibers form a crosslinked network (with or without matrix) have not been studied extensively. This article presents a summary of the state of the art in this area and outlines the challenges still to be met in the quest for the development of reliable and representative constitutive models for this type of materials. The discussion focuses on fibrous networks without matrix since this represents a limit case of network mechanics. A brief review of the available microstructure-informed constitutive models is presented. The goal of the article is to outline the limitations of current constitutive formulations for fiber network materials and to define the physical aspects important for the mechanics of such materials and which need to be captured by new models.

中文翻译：

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随机纤维网络材料的本构模型：现状和挑战回顾

摘要 大量材料以随机纤维网络为主要结构成分。在某些情况下，网络嵌入在基质中，而在其他一些情况下，材料仅由纤维制成。具有固体基质的纤维复合材料的均质化和本构建模领域得到了很好的发展。然而，纤维形成交联网络（有或没有基质）的情况尚未得到广泛研究。本文概述了该领域的最新技术，并概述了在为此类材料开发可靠且具有代表性的本构模型的过程中仍需面临的挑战。讨论集中在没有矩阵的纤维网络上，因为这代表了网络力学的极限情况。简要回顾了可用的微观结构信息本构模型。本文的目的是概述当前纤维网络材料本构公式的局限性，并定义对此类材料的力学重要且需要由新模型捕获的物理方面。