PRESSURE OF PARABOLIC PUNCH ON PRESTRESSED LAYER

Abstract

While designing modern engineering structures in many cases of engineering practice it is important to know the distribution of stresses and strains occurring on bodies contact taking into account initial stresses and strains and contact body shapes. The stress-strain state (SSS) of prestress layer while contacting with parabolic punch is investigated in this paper. The problem is solved within the limits linear elasticity theory. The required SSS is presented in the form of Hankel integral. Satisfaction of the boundary problem conditions results in paired integral equation relatively to the function determining the contact stresses under the die. These equations are solved by means of numerical method. The influence of the die shape and initial layer strains on the contact stresses value and the vertical displacements of the stressed body points is investigated.