4.8.10 Test 5A: 2-D plane strain – biaxial load, secondary creep

Product: ABAQUS/Standard  

Element tested

CPE8R   

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 5(a) from NAFEMS Publication Ref: R0027, “NAFEMS Fundamental Tests of Creep Behaviour,” June 1993.

The time marching program provided in Appendix A 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
t
0.000.0000 (0.00%)0.0000 (0.00%)
8.460.0014 (–1.04%)–0.0010 (0.60%)
43.010.0059 (–0.17%)–0.0056 (–0.19%)
107.580.0145 (–0.08%)–0.0142 (–0.09%)
365.860.0485 (–0.02%)–0.0482 (–0.02%)
710.230.0939 (0.00%)–0.0936 (0.00%)
1000.000.1321 (0.00%)–0.1318 (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

ncr5ar8x.inp

CPE8R elements.