A reduced order model approach for finite element analysis of cellular structures
D. White, Jun Kudo, Kenneth E. Swartz, Daniel A. Tortorelli, Seth Watts
Abstract
Due to advances in modern manufacturing, there is an increased need for accurate and efficient simulation capability for microarchitected cellular structures. It is quite expensive to simulate a large cellular structure using a fully resolved finite element method, even on a modern supercomputer. A new method is proposed that is of intermediate complexity, it is more efficient than a fully resolved finite element simulation, but more general than other approximations such as beam theory or homogenization. The proposed method is based on reduced order modeling and is compatible with any finite element simulation code that supports higher-order basis functions.
Topics & Concepts
Finite element methodHomogenization (climate)Computer scienceExtended finite element methodSupercomputerComputational scienceFinite element limit analysisMixed finite element methodApplied mathematicsStructural engineeringMathematicsParallel computingEngineeringBiodiversityEcologyBiologyVibration and Dynamic AnalysisAdvanced Numerical Methods in Computational MathematicsComposite Structure Analysis and Optimization