ECAR 5544 Verification Problems
Overview
ECAR 5544 is an INL internal report describing a set of simulations used to verify the quality of Abaqus solutions. The problems described here are taken from ECAR 5544.
An accuracy tolerance of 3% is used in ECAR 5544.
Cantilever Beam
The problem is a cantilever beam with a tip load. The quantities to be compared are the displacement in the y direction () and the maximum bending stress ().
and where
P is the tip load (-100)
L is the beam length (25)
E is Young's modulus (30E6)
I is the moment of inertia ()
b is the beam width (0.5)
h is the beam height (0.5)
This gives and
Four meshes were used for this cantilever beam analysis. The mesh density of these beams, along with the values for and computed using these meshes, is given in Table 1.
Table 1: Cantilever meshes and results.
| Elements along length | Elements through thickness | error | error | ||
|---|---|---|---|---|---|
| 12 | 1 | -3.330346 | -0.089% | 1.182E5 | -1.51% |
| 25 | 1 | -3.333655 | -0.00964% | 1.196E5 | -0.33% |
| 50 | 2 | -3.334178 | -0.0253% | 1.1995E5 | -0.038% |
| 75 | 3 | -3.334246 | -0.0274% | 1.189E5 | -0.88% |
Cantilever Beam with Tied Interface
This problem is similar to the previous one. Instead of the root of the original beam being constrained directly, it is tied via contact constraints to a section of beam of length 0.335, which is in turn constrained against translation.
With this additional length, = -3.469, and = 121627. Results are shown in Table 2.
Table 2: Results for cantilever beam with tied contact constraint.
| Elements along length | Elements through thickness | error | error | ||
|---|---|---|---|---|---|
| 75+1 | 3 | -3.469 | -0.0266% | 1.216E5 | -0.424% |