A new mixed elastic-plastic model for the real contact is developed to consider both plastic response of smaller asperity and strain hardening effects. It is assumed that the contact behavior is continuous
monotonic and smoothing. An arc-tangent function is used to express different contact status
and the Meyer hardness exponent is used to reflect the effect of strain hardening. Then a math model for both the contact area and the contact load is derived. The proposed model is tested using experimental results for copper
aluminum alloy and nickel reported in the literature
and compared with other contact models in the literature. The proposed model shows a good agreement with experimental results and a big advantage especially when strain hardening occurs.
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references
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