I'm working on the numerical solution of the mixed problem in lubricated contacts. Does anyone know if the lubricant equation (Reynolds one) was never solved for film thickness instead of pressure (like actually is done with MGMI techniques) in some pubblication?

Dear All,

the solution of an elastic half space subjected to any generalized load may be seen as the solution of another elastic problem, that is elastic space with an infinite length hole when the hole radius goes to infinite.

Is there a "general" solution for that elastic problem? For general I mean a solution that can be used e.g. like a kernel in a convolution operation.

I've expanded the Navier equation in cylindrical coordinate (radial, theta, z), with a Fourier approach; assigning periodicity to theta variable and the "square summability" along the z-direction, the problem is reduced to the r-direction.