ABAQUS Verification Manual  


1.3.13 Constant curvature test for shells

Product: ABAQUS/Standard  

Elements tested

S3    S3R    S4    S4R    S4R5    S8R    S8R5    S9R5    STRI3    STRI65   

Problem description

Material:

Linear elastic, Young's modulus = 1 × 103, Poisson's ratio = 0.3.

Boundary conditions:

at nodes A, B, and D, at all nodes along the perimeter.

Loading:

–2.0 at node C, 20.0 at nodes A and B, –20.0 at nodes C and D, 10.0 at nodes B and C, –10.0 at nodes A and D.

Reference solution

Displacements: –12.48.

Results and discussion

Element type
S3/S3R–12.51
S4R–12.54
S4–12.54
S4R5–12.496
S8R*–12.555
S8R5–12.527
S9R5–12.527
STRI3–12.480
STRI65–12.545

*A refined mesh consisting of two elements is used for the S8R model since hourglassing occurs in a one-element mesh.

Input files

esf3sxs9.inp

S3/S3R elements.

ese4sxs9.inp

S4 elements.

esf4sxs9.inp

S4R elements.

es54sxs9.inp

S4R5 elements.

es68sxs9.inp

S8R elements.

es58sxs9.inp

S8R5 elements.

es59sxs9.inp

S9R5 elements.

es63sxs9.inp

STRI3 elements.

es56sxs9.inp

STRI65 elements.