Analysis of failure loadings at contact of anisotropic and isotropic half-planes with local surface recess-type flaws

摘要

A two-dimensional elastic contact problem on the frictionless interaction of anisotropic and isotropic half-planes is considered under the assumption that the bodies boundaries have local recesses. Using complex representations of stresses and strains the problem is reduced to a singular integral equation in the gap height function. The unknown limits of integration intervals (the co-ordinates of gaps tips) are derived from the additional conditions to be satisfied by the sought function. A mechanical system with an interface gap due to one symmetrical surface recess is considered as a particular example. The expressions for stresses inside the half-planes are obtained analytically. The strength analysis for the mechanical system components is carried out on the base of Fisher's failure criterion. The recommendations on optimal material orientation in the anisotropic half-plane are made.