2. Solid elements one-element tests

This test performs basic deformation analysis and face load generation tests with solid elements, i.e. 3D continuum elements, with one element per test. Hexahedral elements are loaded on one face with a pressure load and the displacements are compared to the analytical solution or results from other FE programs.

Tetrahedral elements are compared with the results obtained from MARC. For this case an arbitrary shape is used as given in the figure below. Four different load cases are applied to the element:

Case 1: Force of 10 [N] in global x-direction.
Case 2: Force of 20 [N] in global y-direction.
Case 3: Force of 30 [N] in global z-direction.

All load cases are analysed with the 4 node tetrahedron element as well as with the 10 node higher order element. While the 4 node tetrahedron element is integrated using the default 1-point scheme the 10 node tetrahedron element is integrated with the default 4-point integration scheme and the 5 point integration scheme.

Tetrahedron element test

Figure 120. Tetrahedron element test


Prism ('wedge') elements are compared to the results obtained from a NASTRAN run. The prism element in NASTRAN is not iso-parametric. However,since the NASTRAN prism element includes a flag to force it to behave like an iso-parametric element a comparison is possible. Both elements are loaded with 4 load cases:

Case 1: Force of 10 [N] in global x-direction one node 4 (PR6) or node 1 (PR15).
Case 2: Force of 20 [N] in global y-direction on node 5 (PR6) or node 4 (PR15).
Case 2: Force of 20 [N] in global y-direction on node 5 (PR6) or node 4 (PR15)

Prism element test

Figure 121. Prism element test