Modeling the contact interaction of two transversally isotropic elastic half-spaces in the presence of a hard disk-like inclusion between them and pressure in the region of separation
DOI:
https://doi.org/10.20535/SRIT.2308-8893.2020.1.10Keywords:
mathematical modeling, transversely isotropic material, elastic half-space, hard disk-like inclusion, pressure in the region of delamination, contact interaction parametersAbstract
A rigorous mathematical model is used for analyzing the contact interaction of two transversally isotropic elastic half-spaces with different properties under compression in the presence of a hard disk-like inclusion between them and pressure in the region of material separation. The solution to the problem is obtained by presenting a general solution of the system of equilibrium equations for a transversely isotropic body through harmonic functions, reducing the boundary-value problem to considering the integral equation, expanding the desired function in a small parameter. As a special case, the found contact results for the main contact parameters for two elastic isotropic half-spaces (in the presence of inclusion between them and pressure in the region of separation). Numerical results are obtained, the influence of the elastic properties of half-spaces, the geometric dimensions of the inclusion and loads on the parameters of contact interaction are studied.References
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