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stage 6 triennial report 1 July 2009–30 June 2012 ... - CHARMEC

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Materials and maintenance – Material och underhåll (MU) – Werkstoff und Unterhalt – Matériaux et entretien<br />

MU25. ThERMODYNAMICALLY COUPLED CONTACT BETWEEN<br />

WhEEL AND RAIL<br />

Termomekaniskt kopplad kontakt mellan hjul och räl<br />

Thermomechanisch gekoppelter Kontakt zwischen Rad und Schiene<br />

Couplage thermodynamique du contact entre roue et rail<br />

Project leader Docent Anders Ekberg<br />

and supervisor Applied Mechanics/<br />

Division of Dynamics<br />

Assistant supervisors Docent Fredrik Larsson and<br />

Professor Kenneth Runesson,<br />

Applied Mechanics<br />

Doctoral candidate Mr Andreas Draganis<br />

66<br />

(from 2009-06-29;<br />

Lic Eng December 2011)<br />

Period 2009-01-01 – <strong>2012</strong>-06-30<br />

(–2014-06-30)<br />

Chalmers budget Stage 5: –<br />

(excluding university Stage 6: ksek 2400<br />

basic resources) Stage 7: ksek 2000<br />

Industrial interests Stage 5: –<br />

in-kind budget Stage 6: –<br />

Stage 7: –<br />

The project has been partially financed by The Swedish Research<br />

Council, VR (through <strong>CHARMEC</strong>’s budget)<br />

Project mu25 investigates and develops efficient methods<br />

for modelling and computation of the thermomechanically<br />

coupled problem when two deformable bodies are in<br />

high-speed sliding contact. A typical example is a braked<br />

(and locked) railway wheel that moves along the rail. A<br />

major challenge here is to formulate a computationally<br />

efficient description of the motion of the two bodies. In<br />

particular, such a description should account for the high<br />

accuracy needed in the moving contact patch. A significant<br />

motivation for the current study is the possibility to allow<br />

for refined predictions of different forms of rolling contact<br />

damage to wheels and rails.<br />

To achieve these aims, the ale (Arbitrary Lagrangian-<br />

Eulerian) kinematical description is employed. This is a<br />

generalization of the traditional Lagrangian and Eulerian<br />

descriptions. The Lagrangian description follows when the<br />

initial configuration of the bodies is taken as the reference<br />

configuration. This means that a computational finite<br />

element (fe) mesh will be fixed to material points during<br />

deformation. This description naturally allows easy tracking<br />

of boundaries and easy treatment of history-dependent<br />

material parameters, but can lead to severe degradation of<br />

the element mesh at large displacements. In the Eulerian<br />

description, the current configuration is instead chosen<br />

as the reference. This implies that a computational mesh<br />

will be fixed in space. In this description, keeping track of<br />

boundaries and history-dependent material parameters<br />

Spatial (current) configuration B x (t), material configuration B X (t)<br />

and absolute (fixed) configuration B ξ for each of two bodies<br />

w(heel) and r(ail). From the application to VR<br />

may be very difficult, while large displacements/distortions<br />

of the continuum are easily handled.<br />

With the given choice of intermediate configurations (see<br />

figure) pertinent to the ale model as basis, the equations of<br />

motion of the mechanical system have been established and<br />

finite element (fe) formulations derived. The theoretical and<br />

numerical framework for rolling contact simulation setting<br />

out from the ale kinematical model has been finalized and<br />

validated for mechanical two-dimensional (2d) contact. Implemented<br />

features include 2d cylinder–plate contact, transient<br />

dynamics, non-reflecting boundary conditions and customizable<br />

surface profiles, allowing for the implementation<br />

of non-smooth surface profiles. Additional features include a<br />

penalty-type formulation of thermal contact and a numerical<br />

stabilization scheme. Studies of frictional contact, wheel–rail<br />

heat partitioning and temperature distributions for different<br />

operational cases are currently being carried out.<br />

Andreas Draganis presented his licentiate thesis (see<br />

below) at a seminar on 21 December 2011 with Professor<br />

Mathias Wallin of the Division of Solid Mechanics in the<br />

Faculty of Engineering at Lund University (Sweden) introducing<br />

the discussion at the seminar. The research plan<br />

(from the approved first application to vr for three years)<br />

is dated 2008-04-15. An application for continued financing<br />

from vr was rejected. For the joint reference group, see<br />

under project mu18.

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