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Fiber-reinforced composites: nonlinear elasticity and beyond
Journal of Engineering Mathematics ( IF 1.434 ) Pub Date : 2021-04-07 , DOI: 10.1007/s10665-021-10119-1
A. Wineman, Thomas J. Pence

A fiber-reinforced material comprised of a soft polymeric matrix reinforced with polymeric filaments is often modeled as an equivalent anisotropic nonlinearly elastic solid. Although the response of a single constituent polymeric material can be modeled by nonlinear thermo-elasticity over a large range of deformations and temperatures, there can be conditions requiring a theory that extends the range of application to account for other features, such as nonlinear viscoelasticity and an evolving microstructure due to a combination of mechanical and nonmechanical factors. In a multi-constituent fiber-reinforced material these effects can be expected to occur with different initial triggering and ongoing potency in the separate polymer matrix and fiber constituents. This paper summarizes a number of constitutive models for fiber-reinforced materials that include these features, discusses the connection of these models to a nonlinearly elastic scaffold, provides a framework for the incorporation of these features into the constitutive theory for an equivalent general simple solid, and shows how certain terms in the mathematical structure can be associated with the matrix constituent while other terms can associated with the fibrous constituent.



中文翻译:

纤维增强复合材料:非线性弹性及以上

通常将由用聚合物长丝增强的软聚合物基质组成的纤维增强材料建模为等效的各向异性非线性弹性固体。尽管可以通过大范围的变形和温度范围内的非线性热弹性来模拟单一成分聚合物材料的响应,但是在某些情况下,可能需要一种理论来扩展应用范围以考虑其他特征,例如非线性粘弹性和由于机械和非机械因素的共同作用而形成的不断发展的微观结构。在多组分纤维增强材料中,可以预期在单独的聚合物基体和纤维成分中具有不同的初始触发和持续效力的情况下会发生这些效应。

更新日期:2021-04-08
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