Stress State of a Soft Interlayer under Conditions of Plane and Axisymmetric Strains

Abstract

The stress state of a soft interlayer under contact strengthening, when tensile stresses are greater than the yield strength of the interlayer metal and less than the stresses causing a general yield, is considered. The analytical expressions under plain strain and axisymmetric tension are obtained. In the first case, the stresses are determined using the Airy stress function as a corresponding polynomial, in the second case – based on the stress function of the fifth degree, built on the corresponding Legendre polynomial. The stresses satisfy the differential equations of equilibrium and boundary conditions.