4.8.1 Test 1A: 2-D plane stress – uniaxial load, secondary creep

Product: ABAQUS/Standard

Elements tested

CPS8R CPS6 CPS6M

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), = 5.

Boundary conditions:

on line AD and at midpoint of line AD.

Loading:

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

Reference solution

This is a test recommended by the National Agency for Finite Element Methods and Standards (U.K.): Test 1(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

0.00	0.000 (0.00%)	0.000 (0.00%)
0.52	0.005 (0.00%)	–0.003 (0.00%)
8.39	0.084 (0.00%)	–0.042 (0.00%)
33.55	0.336 (0.00%)	–0.168 (0.00%)
134.22	1.342 (0.00% )	–0.671 (0.00%)
536.87	5.369 (0.00%)	–2.684 (0.00%)
1000.00	10.000 (0.00%)	–5.000 (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^–3.

Input files

ncr1ar8x.inp

CPS8R elements.

ncr1ar6x.inp

CPS6 elements.

ncr1ar6m.inp

CPS6M elements.