Finite Element Analyses of Cylinder Problems Using Pseudo General Plane Strain Elements (Planar Constraint)
A long cylinder composed of periodic structures along the axis can not be treated as a general plane strain(GPS) state, because within a repeated module, the geometry and loading condition may not be uniform along the axial direction. For this kind of situation, a ‘ more general kind of GPS ’ finite element is needed that uses a set of ‘ planar constraints ’, hereinafter called a ‘ pseudo general plane strain(PGPS) finite element ’. Otherwise, a high number of constraints need to be used, which is a tedious job and often gives rise to an input error. Plus, this can also cause a numerically ill conditioned stiffness matrix that results in a trivial or diverged solution. Accordingly, this study proposes several PGPS finite elements that use a set of planar constraints to solve long periodic cylinder problems, as well as conventional long cylinder and plane strain problems.
Ichsan Setya Putra and Djoko Suharto
Y. D. Kwon et al., "Finite Element Analyses of Cylinder Problems Using Pseudo General Plane Strain Elements (Planar Constraint)", Key Engineering Materials, Vols. 306-308, pp. 553-558, 2006