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Composite laminated plate analysis using the natural radial element method

机译:使用自然径向元法的复合层压板分析

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In this work an innovative numerical approach, combining the simplicity of low-order finite elements connectivity with the geometric flexibility of meshless methods, is extended to the elastostatic analysis of composite laminated plates. The Voronoi diagram geometric concept is used to enforce the nodal connectivity and the background integration mesh is constructed uniquely dependent on the computational nodal mesh through the application of the Delaunay triangulation. With the proposed numerical method, the nodal connectivity is imposed through nodal sets with reduced size, reducing significantly the test function construction cost. The interpolations functions are constructed using Euclidian norms and easily obtained. In this work it is considered the first-order plate shear deformation theory. To prove the good behaviour of the proposed interpolation function elastostatic composite laminated plate benchmark examples are solved.
机译:在这项工作中,将低阶有限元连接的简单性与无网格方法的几何灵活性相结合的创新数值方法扩展到了复合叠层板的弹力分析。 Voronoi图的几何概念用于增强节点连接性,并且通过应用Delaunay三角剖分来唯一地依赖于计算节点网格来构造背景积分网格。利用所提出的数值方法,通过减小尺寸的节点集来强加节点连通性,从而显着降低了测试功能的构建成本。插值函数是使用欧几里得范数构造的,很容易获得。在这项工作中,它被认为是一阶板剪切变形理论。为了证明所提出的插值函数的优良性能,对弹性复合材料叠层板进行了基准测试。

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