Stability of two bodies interface under compression along cracks distributed in the interface. Exact solutions. 1. A case of unequal roots

The plane problem is considered using the three-dimensional linearized theory of stability for deformable bodies. Complex variables and potentials of above mentioned theory are applied. The problem is reduced to the linear conjugation of two analytical functions of the complex variables. Accurate problem solving as related to stability loss is obtained for the case of unequal roots of basis equation. Some mechanical effects are analyzed for elastic, elasto-plastic, compressible, incompressible, isotropic and orthotropic bodies.