Stability of two bodies interface under compression along the cracks distributed on the interface. 2. Exact solution for the case of equal roots

The stability loss problem for the interface of two bodies is considered in case when some plane cracks are located in the interface and bodies are compressed along cracks (along of the interface of two various materials). The investigations have been performed for the plane problems using the three-dimensional linearized theory of deformable bodies stability. Complex variables and potentials of above mentioned linearized theory are applied. This problem is reduced to the problem of linear conjugation of two analytical functions of complex variable. Exact solution of above mentioned stability loss problem is obtained for the case of equal roots of the basic equation. Some mechanical effects analysis under general conditions (elastic, elastic-plastic, compressible, incompressible, isotropic and orthotropic bodies) was realized.