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A NEW TREFFTZ BASED FINITE ELEMENT FOR STATIC ANALYSIS OF LAMINATED COMPOSITE STRUCTURES

机译:层状复合结构静力分析的一种新的基于TREFFTZ的有限元

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Composite materials have been widely used in industries for several years owing to their capability to perform better than homogeneous isotropic materials. Numerical tools like finite element method are efficiently used for analysis of structures made of composite materials. However, for complex shapes or geometries of structures, it becomes uneconomical (computational resource wise) to use Rayleigh-Ritz based finite element analysis. An unique Trefftz based finite element has been developed in this article to efficiently fill the gap in the above mentioned scenario. Hybrid-Tefftz finite element method's flexibility to use arbitrary shaped elements comes handy in modelling complex geometries. The developed hybrid-Trefftz finite element approach has been used on symmetric angle-ply laminated composite plate and the obtained results have been compared with bench mark solutions. The present method proposes an approach for development of hybrid-Trefftz type finite elements, by which analysis of antisymmetric structures is also possible, an area of research which has been less explored by such approach as revealed from survey of available open literature.
机译:复合材料由于其性能优于均质各向同性材料而被广泛用于工业领域。诸如有限元法之类的数字工具可有效地用于分析复合材料制成的结构。但是,对于结构的复杂形状或几何形状,使用基于Rayleigh-Ritz的有限元分析变得不经济(从计算资源角度而言)。本文开发了一种独特的基于Trefftz的有限元,可以有效地填补上述情况下的空白。 Hybrid-Tefftz有限元方法可以灵活地使用任意形状的元素,在建模复杂几何图形时非常方便。所开发的混合-Trefftz有限元方法已用于对称角-层层合复合板,并将所得结果与基准解决方案进行了比较。本方法提出了一种发展混合-Trefftz型有限元的方法,通过该方法也可以进行反对称结构的分析,这种方法的研究领域很少,如从现有公开文献的调查中所揭示的那样。

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