Modern machine elements are required to work under increasingly severe conditions (thinner lubricating films, higher temperatures, less lubricant, etc.). Therefore, in heavily loaded lubricated con...

http://tribo-lyon2013.sciencesconf.org/conference/tribo-lyon2013/pages/Extended_Abstract_Morales.pdf

Surface roughness effects in elastohydrodynamic lubrication: A review with contributions:

Multigrid Solution of the 3D stress field in strongly heterogeneous materials

Multigrid numerical simulation of contact mechanics of elastic materials with 3D heterogeneous subsurface topology

https://hal.archives-ouvertes.fr/hal-01234623/document

An efficient MultiGrid solver for the 3D simulation of composite materials

Modelling three-dimensional soft elastohydrodynamic lubrication contact of heterogeneous materials

A 3D graded coating/substrate model based on multigrid techniques within a finite difference frame work is presented. Localized refinement is implemented to optimize memory requirement and computing time. Validation of the solver is performed through a comparison with analytical results for (i) a homogeneous material and (ii) a graded material. The algorithm performance is analyzed through a parametric study describing the influence of layer thickness (0.01 < t/a < 10) and mechanical properties (0.005 < E-c/E-s < 10) of the coating on the contact parameters (P-h, a). Three-dimensional examples are then presented to illustrate the efficiency and the large range of possibilities of the model. The influence of different gradations of Young's modulus, constant, linear and sinusoidal, through the coating thickness on the maximum tensile stress is analyzed, showing that the sinusoidal gradation best accommodates the property mismatch of two successive layers. A final case is designed to show that full 3D spatial property variations can be accounted for. Two spherical inclusions of different size made from elastic solids with Young's modulus and Poisson's ratio are embedded within an elastically mismatched finite domain and the stress field is computed.

/pdf/an-efficient-3d-model-of-heterogeneous-materials-for-elastic-2ozy928fst.pdf

Hugo Boffy

Papers

An Efficient 3D Model of Heterogeneous Materials for Elastic Contact Applications Using Multigrid Methods