Abstract
A method for reducing the three-dimensional problem of the theory of elasticity for a homogeneous transversely isotropic half-space to key integral equations of the second kind for individual components of the stress tensor is proposed. Using the resolvent kernel method, we obtain explicit solutions of these equations in the space of the double integral Fourier transform. The shape of the solution constructed in this way does not depend on the relationships between the elastic modules of the material, which allows, in particular, to ensure the attenuation of the components of the stress tensor at infinitely distant points of the half-space for various types of transversely isotropic materials. Cite as: Yu. V. Tokovyy, D. S. Boiko, “Integral equations of a three-dimensional elasticity problem for a homogeneous transversely isotropic half-space,” Prykl. Probl. Mekh. Mat. , Issue 18, 83–92 (2020) (in Ukrainian), https://doi.org/10.15407/apmm2020.18.83-92
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
