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A new assumed strain solid-shell formulation 'SHB6' for the six-node prismatic finite element

机译:六节点棱柱形有限元的新假定应变固体壳公式“ SHB6”

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摘要

This paper presents the development of a new prismatic solid-shell finite element, denoted SHB6, obtained using a purely three-dimensional approach. This element has six nodes with displacements as the only degrees of freedom, and only requires two integration points distributed along a preferential direction, designated as the "thickness". Although geometrically three-dimensional, this element can be conveniently used to model thin structures while taking into account the various phenomena occurring across the thickness. A reduced integration scheme and specific projections of the strains are introduced, based on the assumed-strain method, in order to improve performance and to eliminate most locking effects. It is first shown that the adopted in-plane reduced integration does not generate "hourglass" modes, but the resulting SHB6 element exhibits some shear and thickness-type locking. This is common in linear triangular elements, in which the strain is constant. The paper details the formulation of this element and illustrates its capabilities through a set of various benchmark problems commonly used in the literature. In particular, it is shown that this new element plays a useful role as a complement to the SHB8PS hexahedral element, which enables one to mesh arbitrary geometries. Examples using both SHB6 and SHB8PS elements demonstrate the advantage of mixing these two solid-shell elements.
机译:本文介绍了使用纯三维方法获得的新型棱柱形固体有限元SHB6的开发。该单元有六个具有位移的节点,这是唯一的自由度,并且只需要沿优先方向分布的两个积分点,即“厚度”。尽管在几何上是三维的,但该元素可以方便地用于对薄结构进行建模,同时考虑到整个厚度上发生的各种现象。基于假定应变方法,引入了简化的积分方案和特定的应变预测,以提高性能并消除大多数锁定效应。首先表明,采用的面内缩减积分不会产生“沙漏”模式,但所得的SHB6元件会表现出一定的剪切力和厚度型锁定。这在应变恒定的线性三角形单元中很常见。本文详细介绍了该元素的配方,并通过一系列文献中常用的各种基准问题说明了其功能。尤其是,它显示了这一新元素可作为SHB8PS六面体元素的补充,从而使人们能够对任意几何形状进行网格划分。同时使用SHB6和SHB8PS元件的示例证明了将这两个固体壳元件混合的优势。

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