4.8.7 Test 4A: 2D plane stress – biaxial (double) load, secondary 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.

Boundary conditions:

on line AD and on line AB.

Loading:

Prescribed tensile stress = 200 N/mm² on line BC and = 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.

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
0.00	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.

Input file

ncr4ar8x.inp

CPS8R elements.