Article

Received 16.07.2022

Revised 09.11.2022

Accepted 15.12.2022

Retrieved from Iss. 112, 2022

Pages 261 -270

Kyrylyuk, V., Levchuk, O., Gavrilenko, V., & Viter, M. (2022). MATHEMATICAL AND COMPUTER MODELING OF THE CONTACT INTERACTION OF TRANSVERSALLY ISOTROPIC ELASTIC HALF-SPACES IN THE PRESENCE OF A RIGID FLAT INCLUSION BETWEEN THEM. Automobile Roads and Road Construction, (112), 261-270. https://doi.org/10.33744/0365-8171-2022-112-261-270

MATHEMATICAL AND COMPUTER MODELING OF THE CONTACT INTERACTION OF TRANSVERSALLY ISOTROPIC ELASTIC HALF-SPACES IN THE PRESENCE OF A RIGID FLAT INCLUSION BETWEEN THEM

Vitaly Kyrylyuk Olga Levchuk Valeriy Gavrilenko Mykhailo Viter

Mathematical and computer modeling of the contact interaction of two transversely isotropic elastic half-spaces with different properties in the presence of a rigid flat inclusion between them under compression is carried out. Based on the representation of the general solution of the system of equilibrium equations for a transversally isotropic body in terms of harmonic functions, a correspondence is established between the contact interaction parameters for two transversely isotropic and two elastic isotropic half-spaces (in the presence of a rigid planar inclusion of an arbitrary shape between them), which generalizes Gladwell's result to the case interactions of transversely isotropic half-spaces. By means of the mathematical and computer modeling, the contact interaction of transversely isotropic half-spaces with a disk-like inclusion is studied. The analysis of the numerical results is carried out, the influence of the elastic properties of the half-space, the geometric dimensions of the inclusion on the parameters of the contact interaction is studied

mathematical and computer modeling, transversely isotropic material, elastic half-space, rigid planar inclusion, arbitrary shape, contact parameters
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https://doi.org/10.33744/0365-8171-2022-112-261-270