A numerical three-dimensional model for the contact of layered elastic/plastic solids with rough surfaces by a variational principle

A new numerical model for the three-dimensional contact analysis of a layer ed elastic-perfectly plastic half space with another rough surface is prese nted. The model is based on a variational principle in which the real area of contact and contact pressure distribution are those which minimize the t otal complementary potential energy. A quasi-Newton method is used to find the minimum. The influence coefficients matrix is determined using the Papk ovich-Neuber potentials with fast Fourier transformation. The model is exte nded to elastic-perfectly plastic contacts in dry and wet conditions. Conta ct analyses have been performed to predict contact statistics of layered el astic/plastic solids with rough surfaces using this model. The effects of t he stiffness of the layer and the substrate, laver thickness, as well as no rmal load are studied. Optimum layer parameters are identified to provide l ow friction/stiction and wear.