第二部門：計算力学（A)

[S02A-01] Discrete Helmholtz decomposition and a numerical scheme for shell structure, and an analysis of thin plate buckling

*Junya Imamura¹ (1. imi Computational Engineering Laboratory)

Keywords:Discrete Helmholtz Decomposition, Geometrical Nonlinearity, Shell Analysis Represented by 3D Finite Elements

This report is part of Helmholtz decomposition research. In a previous paper, discrete Helmholtz decomposition (dHd) was proposed, which is modified for discrete analysis. Recently, I gained an expertise that the vector potential Ψ (variable of dHd) represents the displacements in Lagrangian coordinate; that is, finite elements represented by dHd means iso-parametric elements in Lagrangian coordinate. This report proposes a scheme for geometrical nonlinearity representing both surfaces and equations by dHd.