Analytical solution of stability problem for two composite half-planes compressed along interfacial cracks

The plane stability problem for two composite half-planes compressed along the interface, which contains an arbitrary number of cracks, is considered. An exact analytical solution of the problem is found for elastic and elastic-plastic, isotropic and orthotropic, compressible and incompressible half-planes in the common form for finite and small deformations. This solution was developed using complex potentials within the exact approach based on equations of the three-dimensional linearized theory of deformable bodies' stability. Critical loads are rigorously proved to be independent of the number and disposition of interfacial cracks.