Materials Selection in Mechanical Design, Third Edition

A reusable elastic seal consists of a cylinder of material compressed between two flat surfaces (Figure 6.15). The seal must form the largest possible contact width, b, while keeping the contact stress, ?, sufficiently low that it does not damage the flat surfaces; and the seal itself must remain elastic so that it can be reused many times. What materials make good seals? Elastomers everyone know that. But let us do the job properly; there may be more to be learnt. We build the selection around the requirements of Table 6.15.
| Function | Elastic seal |
| Constraints |
|
| Objective | Maximum conformability to surface |
| Free variables | Choice of material |
A cylinder of diameter 2 R and modulus E, pressed on to a rigid flat surface by a force f per unit length, forms an elastic contact of width b (Appendix A) where
| (6.30) | |
This is the quantity to be maximized: the objective function. The contact stress, both in the seal and in the surface, is adequately approximated (Appendix A) by
| (6.31) | |
The constraint: the seal must remain elastic, that is, ? must be less than the yield or failure strength, ? f, of the material of which it is...