caa a22 4500 445811609 CHVBK 20180317145213.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s00419-010-0448-1 doi (NATIONALLICENCE)springer-10.1007/s00419-010-0448-1 Fabrikant Valery Archambault Jail, 242 Montée Gagnon, J0N 1H0, Ste-Anne-des-Plaines, QC, Canada aut Application of generalized images method to contact problems for a transversely isotropic elastic layer on a smooth half-space [Elektronische Daten] [Valery Fabrikant] The idea, first used by the author for the case of crack problems, is applied here to solve a contact problem for a transversely isotropic elastic layer resting on a smooth elastic half-space, made of a different transversely isotropic material. A rigid punch of arbitrary shape is pressed against the layer's free surface. The governing integral equation is derived; it is mathematically equivalent to that of an electrostatic problem of an infinite row of coaxial charged disks in the shape of the domain of contact. The case of circular domain of contact is considered in detail. As a comparison, the method of integral transforms is also used to solve the problem. The main difference of our integral transform approach with the existing ones is in separating of our half-space solution from the integral transform terms. It is shown that both methods lead to the same results, thus giving a new interpretation to the integral transform as a sum of an infinite series of generalized images. Springer-Verlag, 2010 Contact problems nationallicence Layered media nationallicence Generalized images method nationallicence Integral equations nationallicence Integral transforms nationallicence Transversely isotropic body nationallicence Archive of Applied Mechanics Springer-Verlag 81/7(2011-07-01), 957-974 0939-1533 81:7<957 2011 81 419 https://doi.org/10.1007/s00419-010-0448-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0448-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Fabrikant Valery Archambault Jail, 242 Montée Gagnon, J0N 1H0, Ste-Anne-des-Plaines, QC, Canada aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/7(2011-07-01), 957-974 0939-1533 81:7<957 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer