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The electrical/thermal conductance of rough surfaces - the Weierstrass - Archard multiscale model

The electrical/thermal conductance of rough surfaces - the Weierstrass - Archard multiscale model
The electrical/thermal conductance of rough surfaces - the Weierstrass - Archard multiscale model
Rough surfaces show a load-dependent electrical constriction resistance. Here, using a recent analogy due to Barber [Proc. R. Soc. London A 459 (2003) 53] between the incremental stiffness and the conductance in the elastic regime, and the Archard hypothesis to solve the multiscale contact problem, the conductance is found for the profile defined by the Weierstrass series. The analysis is also approximately valid, neglecting thermal effects on the contact area, for the thermal conductance.
Electrical Contact, Rough Surfaces, Fractals
0020-7683
4107-4120
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5
Murolo, G.
b145c47d-7433-4261-9d9c-7c74c901a7ab
Demelio, G.
cb38aabe-9837-4ab2-aa87-60028fd7b82c
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5
Murolo, G.
b145c47d-7433-4261-9d9c-7c74c901a7ab
Demelio, G.
cb38aabe-9837-4ab2-aa87-60028fd7b82c

Ciavarella, M., Murolo, G. and Demelio, G. (2004) The electrical/thermal conductance of rough surfaces - the Weierstrass - Archard multiscale model. International Journal of Solids and Structures, 41 (15), 4107-4120. (doi:10.1016/j.ijsolstr.2004.02.048).

Record type: Article

Abstract

Rough surfaces show a load-dependent electrical constriction resistance. Here, using a recent analogy due to Barber [Proc. R. Soc. London A 459 (2003) 53] between the incremental stiffness and the conductance in the elastic regime, and the Archard hypothesis to solve the multiscale contact problem, the conductance is found for the profile defined by the Weierstrass series. The analysis is also approximately valid, neglecting thermal effects on the contact area, for the thermal conductance.

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Published date: 2004
Keywords: Electrical Contact, Rough Surfaces, Fractals
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Identifiers

Local EPrints ID: 23227
URI: http://eprints.soton.ac.uk/id/eprint/23227
DOI: doi:10.1016/j.ijsolstr.2004.02.048
ISSN: 0020-7683
PURE UUID: 5f94da3a-34aa-4577-9b51-f042c623066a

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Date deposited: 22 Mar 2006
Last modified: 15 Mar 2024 06:45

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Contributors

Author: M. Ciavarella
Author: G. Murolo
Author: G. Demelio

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