This paper accounts axisymmetric contact problems of interaction between rigid punch and poroelastic layer based on Cowin–Nunziato poroelastic theory. It is supposed that punch’s foundation shape is a flat or a paraboloid and there is no contact friction. Using Hankel’s integral transform the formulated contact problems are reduced to the integral equations with unknown contact stress. To solve these integral equations we used the collocation technique. In the case of parabolic punch the values of the contact stress and the contact area have been determined and discussed. The relationship between the force acting on the punch and the punch displacements is investigated, which is one of the main characteristics in determining the mechanical parameters of a material by the indentation method. A comparative analysis of the studied characteristics of the contact problem is carried out for various values of the porosity and layer’s thickness.
Key words: contact problem, porous materials, poroelasticity, Cowin-Nunziato model, axisymmetric problem, layer, collocation method, indentation, microdilatation theory
Topic: ENGINEERING SCIENCES