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.
翻译:本文基于假设应力法构建模板,其公式推导源自Kang在1986年研究中发展的Hellinger-Reissner原理。单元刚度被分解为两部分:基础部分负责协调性与混合能力,高阶部分负责稳定性(即满秩性)与精度。在有限元法中,高阶刚度基于位移法构建,而基础刚度则独立于具体方法。首先需熟悉实体砖单元的定义:实体砖单元是一种三维有限单元,无需任何几何简化即可直接模拟实体结构与构件。