4.8.12 Test 6A: 3-D – triaxial load, secondary creep

Product: ABAQUS/Standard  

Element tested

C3D20R   

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), n = 5.

Boundary conditions:

on face ADEH, on face ABFE and on face ABCD.

Loading:

Prescribed tensile stress = 300 N/mm2 on face BCGF, = 200 N/mm2 on face CDHG, and = 100 N/mm2 on face EFGH.

Reference solution

This is a test recommended by the National Agency for Finite Element Methods and Standards (U.K.): Test 6(a) from NAFEMS Publication Ref: R0027, “NAFEMS Fundamental Tests of Creep Behaviour,” June 1993.

Results and discussion

The results are shown in the following table. The values enclosed in parentheses are percentage differences with respect to the reference solution.

ABAQUS Results
t
0.000.0000 (0.00%)0.0000 (0.00%)
8.390.0354 (0.02%)0.0409 (0.01%)
33.550.1416 (0.02%)0.1635 (0.01%)
134.220.5662 (0.02%)0.6538 (0.01%)
536.872.2649 (0.03%)2.6153 (0.01%)
805.313.3974 (0.02%)3.9230 (0.01%)
1000.004.2188 (0.02%)4.8714 (0.01%)

Remarks

The total creep time for this test is 1000 hours. The times listed in the above table are the times calculated by the ABAQUS automatic time stepping algorithm with CETOL = 5. × 10–5.

Input file

ncr6arkx.inp

C3D20R elements.