Abstract
Most books on the subject of contact mechanics concentrate on those problems which can be attacked by half-plane or half-space theory, so that this really restricts attention to incomplete contacts, and where there is plenty of material in the neighbourhood of the contact for the half-plane (space) idealisation to be appropriate.
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Notes
- 1.
For historical reasons, in fracture mechanics, when the results are applied to crack tips (\(\alpha =\pi \)), a multiplicative factor of \(\sqrt{2\pi }\) is included on the right-hand side of these relations; see Aliabadi and Rooke (1991).
- 2.
Notice that when normal contact between a block and a half-plane is first made, Fig. 3.1, both edges spread outwards, and hence both are leading edges, by this definition.
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Hills, D.A., Andresen, H.N. (2021). Williams’ Solution. In: Mechanics of Fretting and Fretting Fatigue. Solid Mechanics and Its Applications, vol 266. Springer, Cham. https://doi.org/10.1007/978-3-030-70746-0_3
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DOI: https://doi.org/10.1007/978-3-030-70746-0_3
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