4.8.14 Test 7: Axisymmetric – pressurized cylinder, secondary creep

Product: ABAQUS/Standard  

Elements tested

CAX8R    CCL24R   

Problem description

Material:

Young's modulus = 200 × 103 N/mm2, Poisson's ratio = 0.3, Creep law: = A, A = 3.125 × 10–14 per hour ( in N/mm2), = 5.

Boundary conditions:

on line AB and on line CD.

Loading:

Prescribed pressure P = 200 N/mm2 on line AD.

Reference solution

This is a test recommended by the National Agency for Finite Element Methods and Standards (U.K.): Test 7 from NAFEMS Publication Ref: R0027, “NAFEMS Fundamental Tests of Creep Behaviour,” June 1993.

Results and discussion

The results are shown in the following tables. The values enclosed in parentheses are percentage differences with respect to the reference solution. A graphic following each table gives a representation of the different stresses through the thickness of the cylinder.

ABAQUS results for CAX8R elements
Radius
 (steady state)(steady state)
100.0–197.95 (–1.02%)131.68 (1.00%)
125.0–128.03 (–1.11%)173.55 (0.49%)
150.0–75.416 (–1.21%)205.12 (0.27%)
175.0–33.708 (–1.84%)230.15 (0.16%)
200.00.499250.67 (0.11%)

ABAQUS results for CCL24R elements
Radius
 (steady state)(steady state)
100.0–197.95 (–1.02%)130.38 (1.00%)
125.0–128.03 (–1.11%)172.70 (0.49%)
150.0–75.417 (–1.21%)204.12 (0.26%)
175.0–33.707 (–1.85%)230.15 (0.16%)
200.00.505250.67 (0.11%)

Remarks

The total creep time for this test is 1000 hours. In the case where CAX8R elements have been used, four elements were used to model the cylinder. In the case where CCL24R elements were used, four elements were used in the radial direction and eight elements were used to model the full cylinder in the circumferential direction; that is, a total of 32 elements.

Input files

ncr7xr8x.inp

CAX8R elements.

ncr7xrccl24.inp

CCL24R elements.