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Eight-node solid brick element high-order stiffness matrix template

2023/02/21 by Zhang, Boning, Nguyen, Lan
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2302.11047

Abstract

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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