Stability of Two Bodies Interface under Compression Along Cracks distributed in the Interface. Exact Solutions. I. A Case of Unequal Roots

摘要

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 the interface). The investigations have been performed for the plane problem 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 variables. Exact solution of the above mentioned stability loss problem is obtained for the case on unequal roots of the basic equation. Some mechanical effects analysis under general conditions(elastic, elastic-plastic, compressible, incompressible, isotropic and orthotropic bodies) was realized.