| Abstract: | The problem of buckling of the interface between two bodies is considered for the case where several plane cracks are located
in the interface and the bodies are compressed along the cracks (along the interface of two different materials). The studies
were carried out for a plane problem using the three-dimensional linearized theory of stability of deformable bodies. The
complex variables and potentials of the above-mentioned linearized theory are used. This problem is reduced to the problem
of linear conjugation of two analytical functions of a complex variable. The exact solution of the above-mentioned buckling
problem is obtained for the case where the roots of the basic equation are equal. Some mechanical effects are analyzed under
general conditions (elastic, elastoplastic, compressible, incompresible, isotropic, and orthotropic bodies).
S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika,
Vol. 36, No. 5, pp. 66–73, May, 2000. |
