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A new formulation for thermal analysis of composites by hybrid boundary node method

机译：基于混合边界节点法的复合材料热分析新公式

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摘要

In this paper, a new formulation based on the hybrid boundary node method (Hybrid BNM) is proposed for thermal analysis of composites. The Hybrid BNM is a boundary type meshless method which based on the modified variational principle and the Moving Least Squares (MLS) approximation. In the new formulation, continuity conditions are used as the conventional multi-domain solver and the unknowns of the interfaces are assembled only once in the final system equation, which can reduce both the computational time and memory required. The new formulation is quiet suitable for the inclusion-based composites, especially for the case when the inclusions are solid and totally embedded in the matrix domain. The carbon nanotubes (CNTs) based composites are also discussed and studied by the new formulation. It shows that the thickness of the CNT has little influence on the thermal properties of the composites. Numerical examples are presented to verify the new formulation and the results have shown the accuracy and efficiency of the new formulation.
机译：本文提出了一种基于混合边界节点法（Hybrid BNM）的复合材料热分析新配方。混合BNM是一种边界类型无网格方法，它基于改进的变分原理和运动最小二乘（MLS）近似。在新的公式中，连续性条件用作常规的多域求解器，并且接口的未知数在最终系统方程式中仅组装一次，这可以减少计算时间和所需的内存。新配方安静地适用于基于夹杂物的复合材料，特别是当夹杂物为固体且完全嵌入基质区域时。碳纳米管（CNTs）基复合材料也通过新配方进行了讨论和研究。结果表明，碳纳米管的厚度对复合材料的热性能影响很小。数值例子验证了新配方的有效性，结果表明了新配方的准确性和有效性。

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