|
|
| |
| John Jagodnik (MS, September 2003), e-mail: jjagodni@coe.neu.edu |
| A Model for Analyzing Multi-Asperity Contact of Finite
Thickness Structures with Real Surfaces on Both Sides
|
|
Static contact models provide insight into the contact pressures and sub-surface stresses generated when two bodies with surface distributions are brought into contact. Such models form the foundation of dynamic models which analyze wear rates, friction, and plasticity. Numerous static models have been proposed, however all are limited to thick structures which conform to elastic half-space solutions. Models capable of analyzing two-sided contact of thin structure such as magnetic recording tapes, paper webs, and photographic films have yet to be presented.
In this thesis, a model for two-sided contact of a finite thickness structure with real surfaces on both sides is presented. The model merges asperity contact equations with Euler-Bernoulli beam theory to examine the importance of substrate bending in two-sided contact problems. A finite difference program for solving this model is also presented.
Results for two-sided contact of numerically generated magnetic tapes are presented. These results demonstrate that substrate bending is an important stress reducing phenomenon for typical two-side magnetic tape contact problems. The effects of tape thickness and tension are also explored. Here it is shown that substrate bending is an important phenomenon for all industrial tape thicknesses and tensions, however large thickness values exists for which substrate bending is negligible and elastic half-space solutions applied to both sides of the tape are adequite.
|
|
Keywords: multi-asperity models, substrate deformation, two-sided contact
|
