Contact modeling — forces

The contact of elastic regular wavy surfaces

https://escholarship.org/content/qt6226v74d/qt6226v74d.pdf?t=qki0rx

Synergetic effects of surface texturing and solid lubricants to tailor friction and wear – A review

A nanoindenter XP with scanning capabilities was used to perform nanoindentations on GaN and ZnO nanowires with radii in the range of 20–50nm, positioned on a silicon substrate and bonded to the substrate at their ends with platinum. Since the geometry of indentation of a nanowire differs significantly from the indentation of a half-space, the standard Oliver-Pharr method [W. C. Oliver and G. M. Pharr, J. Mater. Res. 7, 1564 (1992)] of analysis may not be used. A two interface contact model has been developed for the nanoindentation of a nanowire on a flat substrate, with the two interfaces, indenter/nanowire and nanowire/substrate, being in a series. The contact at the indenter/nanowire interface is modeled as an elliptical contact at the sphere (indenter)/cylinder interface. The contact at the nanowire/substrate interface is modeled as a contact at the cylinder/half-space interface under some concentrated forces applied on top of the cylinder. Under these latter conditions the cylinder may be expected t...

A study of the mechanical properties of nanowires using nanoindentation

The adhesion of two elastic bodies with slightly wavy surfaces

Problems involving a receding contact between a layer and a half space

The contact between two elastic semi-infinite bodies with wavy surfaces is considered. For mathematical tractability, the surface profiles are taken as purely sinusoidal. The formulation leads to a pair of dual series equations, which can be reduced to an integral equation of the Abel type. The integral equation can be solved and the quantities of most interest physically extracted in closed elementary forms.

K. C. Tsai

Papers

Problems involving a receding contact between a layer and a half space

Contact between elastic bodies with wavy surfaces

Elastic Layer Pressed Against a Half Space

Contact between an elastic layer with a slightly curved bottom and a substrate

Some Observations on the Smooth Contact Between a Layer and a Half Space