Abstract

In this article, the bending properties of functionally graded material (FGM) sandwich beams are analyzed by using the scaled boundary finite element method (SBFEM) for the first time. The model of FGM sandwhich beams is realized by using high order spectral elements, and only the axial dimension of the beam needs to be discretized. The analytical formula along the thickness direction can better satisfy the properties of the FGM. More importantly, only a small number of the high order spectral element is used to discretize the FGM sandwich beam model, which greatly improves the computational efficiency.

中文翻译：

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一种新的半解析方法在功能梯度材料夹层梁弯曲行为中的应用

摘要

在本文中，首次使用比例边界有限元法 (SBFEM) 分析了功能梯度材料 (FGM) 夹层梁的弯曲特性。FGM模型采用高阶谱元实现横梁，只需要对横梁的轴向维度进行离散化。沿厚度方向的解析式更能满足FGM的特性。更重要的是，只用少量的高阶谱元对FGM夹心梁模型进行离散化，大大提高了计算效率。