DOI: 10.18419/darus-4418
title: Coupled thermo-mechanical simulation results of a finite element discbrake

description: &lt;h2&gt;&lt;b&gt;Simulation Results of a Finite Element Discbrake&lt;/b&gt;&lt;/h2&gt;

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

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

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

&lt;p&gt;Both models are implemented in the commercial simulation software &lt;b&gt;Abaqus&lt;/b&gt;.&lt;/p&gt;

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

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

&lt;h3&gt;&lt;b&gt;Contents&lt;/b&gt;&lt;/h3&gt;

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

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