Axisymmetric solid elements with twist

This problem contains basic test cases for one or more Abaqus elements and features.

This page discusses:

Elements tested
Problem description
Results and discussion
Input files

ProductsAbaqus/Standard

Elements tested

CGAX3

CGAX3H

CGAX3HT

CGAX3T

CGAX4

CGAX4H

CGAX4HT

CGAX4R

CGAX4RH

CGAX4RHT

CGAX4RT

CGAX4T

CGAX6

CGAX6H

CGAX6M

CGAX6MH

CGAX6MHT

CGAX6MT

CGAX8

CGAX8H

CGAX8HT

CGAX8R

CGAX8RH

CGAX8RHT

CGAX8RT

CGAX8T

Problem description

Material:

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

Boundary conditions:

$u_{z}^{A} = u_{z}^{B} = u_{z}^{C} = u_{z}^{D} = 0$ ; $u_{r}^{A} = u_{r}^{C} = 0$ ; $ϕ^{A} = ϕ^{B} = 0$ .

Step 1

A concentrated moment loading equivalent to a distributed moment loading M of 6042 is applied on top face CD.

Analytical solution (L=1):
Twist: $ϕ = 2 M L / μ π a^{4}$ = 0.01 (on top face CD).
Stresses: $σ_{z θ} = μ ϕ r / L$ .

Results and discussion

All elements yield the analytical solution.

Section output requests to the results (.fil) file and to the data (.dat) file are used in some of the input files to output accumulated quantities on the face CD. The area of the face is 3.142.

Input files

eca3gfs3.inp: CGAX3 elements.
eca3ghs3.inp: CGAX3H elements.
eca3hhs3.inp: CGAX3HT elements.
eca3hfs3.inp: CGAX3T elements.
eca4gfs3.inp: CGAX4 elements.
eca4ghs3.inp: CGAX4H elements.
eca4hhs3.inp: CGAX4HT elements.
eca4grs3.inp: CGAX4R elements.
eca4gys3.inp: CGAX4RH elements.
eca4hys3.inp: CGAX4RHT elements.
eca4hrs3.inp: CGAX4RT elements.
eca4hfs3.inp: CGAX4T elements.
eca6gfs3.inp: CGAX6 elements.
eca6ghs3.inp: CGAX6H elements.
eca6gks3.inp: CGAX6M elements.
eca6gls3.inp: CGAX6MH elements.
eca6hls3.inp: CGAX6MHT elements.
eca6hks3.inp: CGAX6MT elements.
eca8gfs3.inp: CGAX8 elements.
eca8ghs3.inp: CGAX8H elements.
eca8hhs3.inp: CGAX8HT elements.
eca8grs3.inp: CGAX8R elements.
eca8gys3.inp: CGAX8RH elements.
eca8hys3.inp: CGAX8RHT elements.
eca8hrs3.inp: CGAX8RT elements.
eca8hfs3.inp: CGAX8T elements.