caa a22 4500 463164768 CHVBK 20180406164758.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s10778-007-0036-4 doi (NATIONALLICENCE)springer-10.1007/s10778-007-0036-4 Static equilibrium of an elastic orthotropic medium with an arbitrarily oriented triaxial ellipsoidal inclusion [Elektronische Daten] [V. Kirilyuk, O. Levchuk] The stress state of an elastic orthotropic medium with an arbitrarily oriented triaxial ellipsoidal inclusion is analyzed. A solution is obtained using the triple Fourier transform and the Fourier-transformed Green's function for an infinite anisotropic medium. The high efficiency of the approach is demonstrated by solving the problem for a transversely isotropic material with a spheroidal cavity for which the exact solution is known. A numerical analysis is conducted to study the stress distribution over the surface of the inclusion with different orientations in the orthotropic space. It is revealed that in some cases the orientation of the inclusion has a strong effect on the stress concentration Springer Science+Business Media, Inc., 2007 orthotropic medium nationallicence ellipsoidal inclusion nationallicence arbitrary orientation nationallicence stress distribution nationallicence Kirilyuk V. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut Levchuk O. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut International Applied Mechanics Springer US 43/4(2007-04-01), 403-408 1063-7095 43:4<403 2007 43 10778 https://doi.org/10.1007/s10778-007-0036-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10778-007-0036-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kirilyuk V. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut NATIONALLICENCE 700 1- Levchuk O. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv aut NATIONALLICENCE 773 0- International Applied Mechanics Springer US 43/4(2007-04-01), 403-408 1063-7095 43:4<403 2007 43 10778 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer