Modeling contact of indenter with elastic half-space with adhesive attraction assigned in arbitrary form

Аннотация

A model of the contact of an elastic indenter with an elastic half-space with adhesive attraction has been proposed. The adhesive attraction has been specified as an arbitrary dependence of the adhesive pressure that acts outside the contact zone on the gap between the indenter and the half-space. The shape of the indenter has been described by a power function with an arbitrary exponent. The constructed model has been used to study the applicability of a model with the single-step adhesive potential (the Maugis–Dugdale model). The results of calculations carried out using the Lennard-Jones potential have been compared to the results obtained using linear and exponential potentials.