Abstract

Abstract 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 linearised theory of deformable bodies’ stability. Critical loads are rigorously proved to be independent of the number and disposition of interfacial cracks.

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