Beam element with spatial variation of material properties for multiphysics analysis of functionally graded materials
Beam element with spatial variation of material properties for multiphysics analysis of functionally graded materials
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DOI：
10.1016/j.compstruc.2010.10.012
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发表时间：
2011-06
影响因子：
4.7
通讯作者：
V. Kutǐs;J. Murín;R. Belak;Juraj Paulech
中科院分区：
文献类型：
--
作者：
V. Kutǐs;J. Murín;R. Belak;Juraj Paulech
本文将介绍和比较两种不同的方法，即多层法和直接积分法，用于模拟具有连续空间变化材料特性的功能梯度材料（FGM）梁。这两种方法都涉及到真实的FGM梁的空间变化材料特性的均匀化和FGM梁的次变量的计算。多层法是基于层合板理论，这是非常经常使用的多层组合梁建模。直接积分法通过对均匀化规则的直接积分，将空间连续变化的材料性质转化为有效性质。在本文的下一部分中，将提出新的多物理梁有限元，结合所提出的均匀化方法，可以用于非常有效的分析功能梯度梁结构。数值实验将提出有关的多物理（电热结构）分析所选择的功能梯度梁与空间连续变化的材料特性。
In this paper, two different methods for modelling of functionally graded material (FGM) beam with continuous spatially varying material properties will be presented and compared, namely the multilayering method and the direct integration method. Both the methods are related to homogenization of spatially varying material properties of real FGM beam and to calculation of the secondary variables of the FGM beams. The multilayering method is based on the laminate theory, which is very often used by modelling of the multilayer composite beams. The direct integration method transform spatial continuous varying material properties to the effective ones by direct integration of derived homogenization rules. In next part of the paper, new multiphysical beam finite element will be presented, which in conjunction with the proposed homogenization methods can be used for very effective analysis of the FGM beam structures. The numerical experiment will be presented concerning the multiphysical (electro–thermal–structural) analysis of the chosen FGM beams with spatial continuous variation of material properties.