2.Computational Mechanics

[12001-06-02] Locking-free Finite Element Method for Calculating Map-represented Equations in Rotated Coordinates (Proceedings of Symposium on Applied Mechanics)

*Junya Imamura¹ (1. imi Computational Engineering Laboratory)

Keywords:Locking-free Finite Element Method, Mapping of Equations in rotated Coordinates, Solutions of Cauchy-Riemann equations

This presentation proposes a scheme to ease and avoid so-called numerical locking. Two sources cause the locking. One is to apply an incomplete n^th order function, and another is to neglect Cauchy-Riemann equations. A textbook example of the former exists in the 45°-rotated case of the square element represented by the bi-liner function. An example of the latter is neglecting the equation for lateral components, which is equal to neglecting the equation for the transverse component in 45°-rotate coordinates. The proposed scheme enables the calculation in arbitrary rotated coordinates of hexahedral elements by the virtual work method.