Contact Interaction Between Parabolic Punch and Elastic Strip Bonded to Poroelastic Half-Plane

Abstract

Plane contact problem of interaction between rigid punch and elastic strip bonded to poroelastic half-plane is considered. Half-plane deformation is modeled on the base of Cowin-Nunziato poroelastic bodies equations. It is assumed that punch’s base is in the form of parabola, friction in the contact area is neglected. Using integral Fourier’s transformation, the problem is reduced to singular integral equation on unknown contact stress. The collocation method is utilized to solve equation. The values of contact stresses, the values of the contact area, and the relative deformation of the surface outside the punch were obtained. A comparative analysis of the investigated quantities for various values of the parameters of the elastic layer and the poroelastic foundation is carried out. Numerical results are present in the form of plots.