八节点实体砖单元高阶刚度矩阵模板
Eight-node solid brick element high-order stiffness matrix template
摘要:
在本文中,模板将开发从一个假设的应力方法,其制定是基于Hellinger-Reissner原则,根据康的研究在1986年。元素刚度被分解为一个基本部分,负责一致性和混合性,以及一个HO元素刚度部分,负责稳定性(也称为秩足够)和精度。在有限元法中,HO刚度基于位移公式,而基础刚度与方法无关。首先,应该熟悉实心砖元素的定义。实体砖单元是一种三维有限元,它可以模拟实体和结构,而不需要任何先验的几何简化。
英文摘要:
In this paper, the template will be developed from an assumed Stress Method, which its formulation is based on the Hellinger-Reissner principle developed according to Kang's study in 1986. The element stiffness is decomposed into a basic part that takes care of consistency and mix-ability, and a HO element stiffness part that takes care of stability (also known as rank sufficient) and accuracy. In the FE method, the HO stiffness is based on a displacement formulation, whereas the basis stiffness is method independent. To start, one should be familiar with the definition of a solid brick element. Solid brick element is three-dimensional finite elements that can model solid bodies and structures without any a priori geometric simplification.
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