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Thermal analysis of multilayer coated fiber-reinforced composites by the hybrid Trefftz finite element method

机译：混合Trefftz有限元方法对多层涂层纤维增强复合材料的热分析

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摘要

A hybrid Trefftz finite element method (HT-FEM) that incorporates the details of heterogeneity, is proposed for capturing the thermal behavior of multilayer coated fiber-reinforced composites. The main idea is to build-up independent two-temperature fields within the domain and along the boundary of the polygonal element. Each element domain is embedded by a fiber with multiple coatings. The Trefftz complete functions analytically satisfying the heat transfer equations are used as infra-element trial functions for the individual phases (fiber, coating and matrix) in a recursive form. The continuity of temperature between adjacent constituent phases is consequently enforced. After introducing the divergence theorem into the single hybrid functional, the degrees of freedom appear only along the element boundaries. This enables polygonal elements to be easily constructed for modeling the heterogeneous materials. Close attention is paid to evaluate the accuracy and efficiency of the HT-FEM through three numerical examples which involve mono- or multilayer coated fibers in different spatial distributions.
机译：提出了一种结合了异质性细节的混合Trefftz有限元方法（HT-FEM），用于捕获多层涂层纤维增强复合材料的热行为。主要思想是在区域内并沿着多边形元素的边界建立独立的两个温度场。每个元素域都由具有多个涂层的纤维嵌入。满足热传递方程式的Trefftz完整函数以递归形式用作各个相（纤维，涂层和基质）的基础试验函数。因此，在相邻组成相之间的温度连续性得到了加强。将散度定理引入单个混合泛函后，自由度仅沿元素边界出现。这使多边形元素易于构建以建模异质材料。通过三个数值示例来密切关注评估HT-FEM的准确性和效率，这些示例涉及不同空间分布的单层或多层涂层纤维。

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