1.3.4 Axisymmetric solid elements

Product: ABAQUS/Standard

Elements tested

CAX3 CAX3H CAX4 CAX4H CAX4I CAX4IH CAX4R CAX4RH CAX4RHT CAX4RT CAX6 CAX6H CAX6M CAX6MH CAX6MHT CAX6MT CAX8 CAX8H CAX8R CAX8RH

Problem description

Material:

Linear elastic, Young's modulus = 30 × 10⁶, Poisson's ratio = 0.3.

For coupled temperature-displacement elements dummy thermal properties are prescribed to complete the material definition.

Boundary conditions:

Step 1

A distributed pressure loading of 1000/area is applied on each face.

Response:

Stresses

At every integration point, –1000, 0.

Strains

–1.3333 × 10^–5, 0.

Displacements

–1.33 × 10^–2 along 1000, –1.33 × 10^–5z.

For lower-order elements the test description is complete. For higher-order elements, another step definition is included.

Step 2

Hydrostatic pressure loading is applied along the two vertical faces, varying from 0 at the top to 1000/area at the bottom, in addition to the loads of Step 1.

The following reference solution is obtained for Step 2 using CAXA84 axisymmetric solid elements with nonlinear, asymmetric deformation (input file eref84s3.inp) and is given at 0.5.

Stresses

–1500, –1000, –1500, 0.

Strains

–2.5 × 10^–5, –3.33 × 10^–6, –2.5 × 10^–5, 0.

Results and discussion

Elements using reduced integration may have additional boundary conditions to those specified above. All elements yield exact solutions.

The *SECTION FILE and *SECTION PRINT output requests are used in some of the input files to output accumulated quantities on the face CD. The quantities are reported in a system that is local to the section.