caa a22 4500 605525390 CHVBK 20210128100758.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10958-015-2460-z doi (NATIONALLICENCE)springer-10.1007/s10958-015-2460-z Shcherbakova Yu "KhAI” Zhukovskii National Aerospace University, Kharkov, Ukraine aut Stress-Strain State of Transversely Isotropic Half Spaces with Paraboloidal Base and Various Elastic Characteristics [Elektronische Daten] [Yu. Shcherbakova] A generalized Fourier method is used to solve the problem of axisymmetric indentation of a die, circular in plan, into a transversely isotropic half space with immobile paraboloidal base coaxial with the axis of the punch in the absence of friction between the punch and the half space. For this problem (regarded as an example), we perform a comparative analysis of the stress-strain state of bodies made of transversely isotropic materials with different elastic characteristics. The numerical results show that the distribution of stresses in the half space under the punch depends both on the elastic parameters and on the roots of the characteristic equation. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/4(2015-07-01), 460-466 1072-3374 208:4<460 2015 208 10958 https://doi.org/10.1007/s10958-015-2460-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2460-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Shcherbakova Yu "KhAI” Zhukovskii National Aerospace University, Kharkov, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/4(2015-07-01), 460-466 1072-3374 208:4<460 2015 208 10958