2. Benchmark solution#
2.1. Calculation method used for the reference solution#
Analytical solution [bib1].
2.2. Benchmark results#
The baseline results are as follows:
Load case |
Stress |
Value (Mpa) |
Comments |
\(\mathrm{Mxx}=1\) |
Layer 1 |
—6.82 |
Stress \({\sigma }_{\mathrm{xx}}\) on the lower skin of layer 1 |
\(\mathrm{SIXX}(z=–h/4)\) layer 2 |
—0.135 |
\({\sigma }_{\mathrm{xx}}\) stress on the lower skin of layer 2 |
|
\(\mathrm{Myy}=1\) |
Layer 1 |
—1.5 |
Stress \({\sigma }_{\mathrm{yy}}\) on the lower skin of layer 1 |
\(\mathrm{SIYY}(z=–h/4)\) layer 2 |
—18.76 |
\({\sigma }_{\mathrm{yy}}\) stress on the lower skin of layer 2 |
|
\(\mathit{QY}=1\) |
Layer 2 |
0.28125 |
Stress \({\sigma }_{\mathrm{yz}}\) on the lower skin of layer 2 |
\(\mathrm{SIYZ}(z=0)\) Layer 2 |
2.62625 |
Stress \({\sigma }_{\mathrm{yz}}\) on the middle skin of layer 2 |
|
\(\mathrm{QX}=1\) |
Layer 2 |
1.279 |
Stress \({\sigma }_{\mathrm{xz}}\) on the lower skin of layer 2 |
\(\mathrm{SIXZ}(z=0)\) Layer 2 |
1.296 |
Stress \({\sigma }_{\mathrm{xz}}\) on the middle skin of layer 2 |
The shape of the distribution of the stresses in the thickness of the plate is as follows:
0.135
1.279
1.296
2.626
0.281
2.3. Uncertainties about the solution#
Null (analytical solution).
2.4. Bibliographical references#
Dhatt-Batoz « Modeling of structures by finite elements, Volume 2 » Pages 246-250 Hermes edition.