THE PLANAR PROBLEM OF COMPRESSING A SEMI-BOUNDED PIECEWISE-HOMOGENEOUS BODY ALONG A SMOOTH SLIDING INTERFACIAL ZONE
DOI:
https://doi.org/10.15407/dopovidi2024.06.043Keywords:
: piecewise-homogeneous semi-bounded body, sliding zone, compression interface, critical loads, Treloar elastic potentialAbstract
The linearized problem of plane deformation in compression of a piecewise-homogeneous semi-confined body with an unloaded boundary surface along a frictionless sliding zone located on the rectilinear interface of two different rigidly interconnected elastic media is studied. Using representations of solutions of linearized equilibrium equations through potential harmonic functions in the case of unequal roots of characteristic equations for elastic potentials of body components, the original boundary value problem is reduced to a problem on eigenvalues of the Fredholm integral equation of the first kind supplemented by an additional condition. With application of the Bubnov-Galerkin method to the study of the latter, the nature of the dependence on the critical values of the load parameter in the problem on geometrical and physical-mechanical parameters of the body in the case of the Treloar elastic potential is studied.
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