4.8.19 Test 9B: 2-D plane stress – biaxial displacement, primary creep

Product: ABAQUS/Standard  

Element tested

CPS8R   

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, m = 0.5.

Boundary conditions:

on line AD, on line AB, on line BC and on line CD.

Reference solution

This is a test recommended by the National Agency for Finite Element Methods and Standards (U.K.): Test 9(b) from NAFEMS Publication Ref: R0027, “NAFEMS Fundamental Tests of Creep Behaviour,” June 1993.

The time marching program provided in Appendix B of the NAFEMS Publication can be used to obtain the stress variation with time.

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
Time HardeningStrain Hardening
tt
0.00285.70 (0.00%)0.00285.70 (0.00%)
0.5298.00 (–1.45%)0.52118.12 (–1.53%)
8.3969.72 (6.52%)8.3988.88 (4.83%)
33.5558.70 (3.40%)33.5576.84 (2.27%)
268.4445.31 (2.79%)268.4461.59 (1.06%)
536.8741.55 (7.12%)536.8757.18 (5.41%)
1000.0038.18 (6.92%)1000.0053.02 (5.08%)

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. × 10–3.

Input files

ncr9br8t.inp

Time hardening.

ncr9br8s.inp

Strain hardening.