Bi-material plane of John's harmonic material with a point force at interface

Abstract eng:
The analytical solution of a nonlinear problem of elasticity (plain strain) for a bi-material plane, consisting of two half-planes, is obtained under action of a point force at an interface. Mechanical properties of half-planes are described by a model of John’s harmonic material. The problem is solved by methods of functions of a complex variable, the stresses and displacements are expressed through two analytical functions, which are found from boundary conditions. Based on the global solutions the asymptotic expansions are constructed for stresses and displacements in a vicinity of a point force. The solution of a problem for half-plane loaded by point force on a border is found.

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