Coupled thermo-mechanical simulation results of a finite element discbrake

<h2><b>Simulation Results of a Finite Element Discbrake</b></h2>

<p>This dataset contains simulation results from a finite element (FE) model of a heated disc brake, represented in two configurations:</p>

<ol>
<li><b>Simple Discbrake</b><br>
A lower-resolution FE model featuring a single heated area.<br>
<ul>
<li>1 layer, 60 elements, 146 nodes</li>
<li>7 degrees of freedom (DOFs) per node, 998 DOFs in total</li>
</ul>
</li>

<li><b>Discbrake with Hole and Three Heated Areas</b><br>
A higher-resolution FE model featuring a central hole and heating applied at three locations on both sides.<br>
<ul>
<li>2 layers, 1390 elements, 2250 nodes</li>
<li>7 DOFs per node, 15750 DOFs in total</li>
</ul>
</li>
</ol>

<p>Both models are implemented in the commercial simulation software <b>Abaqus</b>.</p>

<h3><b>Simulation Setup</b></h3>
<ul>
<li>Heat is applied through designated heat input areas with a constant heat flux of 5×10<sup>6</sup> ± 4.99×10<sup>6</sup> W/m².</li>
<li>Material properties are varied:
<ul>
<li><b>Heat conductivity</b></li>
<li><b>Density</b></li>
</ul>
</li>
<li>Each simulation covers the time interval [0, 3] seconds for the simple discbrake and [0,10] seconds for the discbrake with a whole.</li>
<li>Initial conditions are set to zero.</li>
<li>Parameter vectors are sampled quasi-randomly using <b>Halton sequences</b>.</li>
</ul>

<h3><b>Output Data</b></h3>
<p>
Each simulation exports displacements and temperatures at all nodes. Velocities are computed using a second-order central difference scheme to extend the mechanical state.
</p>

<h3><b>Contents</b></h3>

<ol>
<li><b>Model Files</b>
<ul>
<li><code>discbrake.inp</code>/<code>discbrake_with_hole.inp</code>: Abaqus input files describing the FE models</li>
<li><code>runAbqSim_onlyHeat_1Point_smallHalton.m</code>: Script to run simulations</li>
<li><code>write_odb_to_txt.m</code>: Script to export Abaqus <code>.odb</code> files as <code>.txt</code></li>
<li><code>utils/</code>: Utility scripts for running and exporting simulations</li>
<li><code>disc_brake_with_hole_ref_coords.npy</code>: reference configuration of the discbrake</li>
<li><code>disc_brake_with_hole_faces.npy</code>: Faces of the discbrake for 3D visualization</li>
</ul>
</li>

<li><b>Dataset (<code>discbrake.npz</code>/<code>discbrake_with_hole.npz</code>)</b>
<ul>
<li><code>X</code>: System states (temperatures and displacements) — shape [n_sim × n_timesteps × n_nodes × n_dofs]</li>
<li><code>t</code>: Time vector — shape [n_timesteps × 1]</li>
<li><code>U</code>: Input (heat flux) — shape [n_sim × n_timesteps × 1]</li>
<li><code>Mu</code>: Simulation parameters (material properties) — shape [n_sim × 2]</li>
</ul>
</li>
</ol>