Modelling and Simulation of Tribological Problems in Technology

Invited Lecturers

Andreas Almqvist (Luleå University of Technology, Luleå , Sweden)

7 lectures on: thin film flow modelling including hands-on finite difference method implementation of a solution procedure for the 2D Reynolds equation in cylindrical coordinates, analytical solutions, scaling to non-dimensional form, modelling cavitation in hydrodynamic lubrication by means of the linear complementarity problem and numerical solution procedures.


James R. Barber (University of Michigan, Ann Arbor , USA)

7 lectures on: the effect of friction in contact problems, the Amonton's law of friction, existence and uniqueness of solutions, Klarbring's P-matrix criterion, memory effects, wedging, Iwan models, energy dissipation during periodic loading, shakedown theorems, effect of coupling in half-space problems, Dundurs bimaterial parameters, inverse problems, slip waves, instability and frictional vibrations, rate-state models.


Daniele Dini (Imperial College London, London, Great Britain)

7 lectures on: contact mechanics of dry contacts in the presence of roughness and adhesion and links to friction and vibrations, visco-elastic contact problems, lubricated contacts with particular application to textured surfaces and bearings, molecular dynamics simulations and multi-scale formulations.


David A. Hills (University of Oxford, Oxford, Great Britain)

7 lectures on: taxonomy of contacts, half-plane formulations, com- plete contact problems, asymptotic techniques, partial slip problems for all contact classes, with particular attention to half-plane problems with complex loading cycles (varying tension, shear and normal load).


Marco Paggi (IMT School for Advanced Studies Lucca, Lucca, Italy)

7 lectures on: physico-mathematical modelling of the constitutive response of interfaces; computational methods for the solution of normal and tangential contact problems with roughness, with special attention to the boundary element method and the finite element method; mathematical analogies to predict thermal and electric contact resistances at a rough interface; contact problems with elasto-plasticity, adhesion, finite elasticity, advanced multi-field coupled problems.


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