Test 4A: 2D plane stress – biaxial (double) load, secondary 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 = Aσn⁢t, A = 3.125 × 10−14 per hour (σ in N/mm2), n = 5.

Boundary conditions:

ux=0 on line AD and uy=0 on line AB.

Loading:

Prescribed tensile stress σ1 = 200 N/mm2 on line BC and σ2 = 100 N/mm2 on line CD.

Reference solution

This is a test recommended by the National Agency for Finite Element Methods and Standards (U.K.): Test 4(a) from NAFEMS Publication Ref: R0027, “NAFEMS Fundamental Tests of Creep Behaviour,” June 1993.

εx⁢xc=-εz⁢zc=0.004218tεe⁢f⁢fc​=0.004871⁢tεy⁢yc​=0.0

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
tεx⁢xcεe⁢f⁢fc
0.00 0.000 (0.00%) 0.000 (0.00%)
4.19 0.018 (0.02%) 0.020 (0.01%)
16.78 0.071 (0.02%) 0.082 (0.01%)
67.11 0.283 (0.02%) 0.327 (0.01%)
134.22 0.566 (0.02%) 0.654 (0.01%)
536.87 2.265 (0.02%) 2.615 (0.01%)
1000.00 4.219 (0.02%) 4.871 (0.00%)



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. × 10−4.