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The Quarterly Journal of Mechanics and Applied Mathematics 1979 32(4):445-471; doi:10.1093/qjmam/32.4.445
© 1979 by Oxford University Press
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‘SOFT’ CONTACT PROBLEMS IN LINEAR ELASTICITY

B. D. HUGHES and L. R. WHITE

( Department of Applied Mathematics, Research School of Physical Sciences, Australian National University Canberra, Australia )

The need to provide realistic boundary data in elastic contact problems is emphasized and a new theory developed to model "soft" elastic contact in colloid science, when the elastic bodies distort under a surface interaction without physical contact occurring. For a given interaction the surface displacement is determined by a nonlinear integral equation. Bounds on the surface displacement are exhibited for a wide class of attractive and repulsive interactions. For a strong, short-range interaction it appears that the model yields similar results to those of the classical theory of Hertz.


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