Test 8C: 2D plane stress – stepped load, primary creep

This problem provides evidence that Abaqus can reproduce the result from the benchmark defined by NAFEMS and cited as the reference solution.

This page discusses:

ProductsAbaqus/Standard

Elements tested

CPS8R

Problem description



Material:

Young's modulus = 200 × 103 N/mm2, Poisson's ratio = 0.3, Creep law: ε = Aσntm, A = 3.125 × 10−14 per hour (σ in N/mm2), n = 5, m = 0.5.

Boundary conditions:

ux=0 on line AD and uy=0 at mid-point of line AD.

Loading:

σ1 = 200 N/mm2 for t 100 hours and σ1 = 250 N/mm2 for t> 100 hours.

Reference solution

This is a test recommended by the National Agency for Finite Element Methods and Standards (U.K.): Test 8(c) from NAFEMS Publication Ref: R0027, “NAFEMS Fundamental Tests of Creep Behaviour,” June 1993.

  εxxc=0.01t for t 100 hours
Time hardening: εxxc=0.03052t-0.2052 for t> 100 hours
Strain hardening: εxxc=0.03052t-89.262 for t> 100 hours

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
tεxxctεxxc
0.00 0.0000 (0.00%) 0.00 0.0000 (0.00%)
0.54 0.0073 (−0.14%) 0.54 0.0073 (−0.01%)
8.22 0.0287 (−0.03%) 8.22 0.0287 (0.00%)
65.57 0.0810 (−0.01%) 65.56 0.0810 (0.00%)
116.39 0.1240 (−0.02%) 116.45 0.1591 (−0.01%)
165.54 0.1875 (−0.01%) 165.60 0.2666 (−0.01%)
200.00 0.2264 (0.00%) 200.00 0.3211 (−0.01%)



Remarks

The total creep time for this test is 200 hours. The times listed in the above table are the times calculated by the Abaqus automatic time stepping algorithm with CETOL = 5. × 10−3.