Composite hinged cylindrical roof snapthrough
In the static geometrically non-linear composite hinged cylindrical roof snapthrough test, the isotropic hinged cylindrical roof snapthrough test is identically repeated with an orthotropic laminate material. The composite laminate of total thickness h = 12.7mm is composed of orthotropic laminae with the following properties:
- E_1 = 3.3 GPa
- E_2 = 1.1 GPa
- G_12 = G_13 = G_23 = 0.66 GPa
- ν_12 = 0.25
The material is arranged in a [90/0/90] stacking sequence [1].
The key result is the vertical point displacement under the point load P in the diagram above, for which the reference equilibrium path according to [1] is plot in the results below.
The following deformation (exaggerated) animation of the Kratos thin quad element (mesh = 256 elements) is provided for context.
Composite hinged cylindrical roof snapthrough: Deformation of Kratos thin quad element
The results of the test for the thin quadrilateral and thick triangle Kratos shell elements are presented below.
Composite hinged cylindrical roof snapthrough results: thin quadrilateral and thick triangle elements
The graph above indicate the thick triangular and thin quadrilateral Kratos shell elements agree with the reference solution.
- K.Y. Sze, X.H. Liu, and S.H. Lo. “Popular benchmark problems for geometric nonlinear analysis of shells”. In: Finite Elements in Analysis and Design 40.11 (2004), pp. 1551 –1569.