caa a22 4500 445811498 CHVBK 20180317145213.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s00419-010-0479-7 doi (NATIONALLICENCE)springer-10.1007/s00419-010-0479-7 Interface conditions simulating influence of a thin elastic wedge with smooth contacts [Elektronische Daten] [Alexander Linkov, Liliana Rybarska-Rusinek] The paper presents a method for deriving interface conditions simulating the influence of a thin wedge in a multi-wedge system with smooth contacts. It consists in successive (i) employing the Mellin's transform, (ii) separation of the symmetric and anti-symmetric parts of a solution, (iii) distinguishing terms tending to infinity, when the wedge angle tends to zero, (iv) appropriate re-arrangement of the terms to avoid degeneration, (v) using truncated power series in equations for the thin wedge and (vi) inspection of the characteristic determinant and finding models simulating the influence of the thin wedge for various combinations of parameters. The paper extends and improves the results previously obtained by the authors for a harmonic problem. The analysis leads to three physical models of contact interaction, which cover all the ratios of shear modules of a thin wedge and neighbour wedges. Numerical examples illustrate the accuracy provided by the method employed and the models derived. The Author(s), 2010 Plane elasticity nationallicence Wedges nationallicence Smooth contacts nationallicence Thin wedge nationallicence Singular points nationallicence Interaction models nationallicence Linkov Alexander Institute for Problems of Mechanical Engineering, Russian Academy of Sciences, 61 Bol'soi pr. V.O., 199178, St. Petersburg, Russia aut Rybarska-Rusinek Liliana Department of Mathematics, Rzeszow University of Technology, W.Pola 2, 35-959, Rzeszow, Poland aut Archive of Applied Mechanics Springer-Verlag 81/9(2011-09-01), 1203-1214 0939-1533 81:9<1203 2011 81 419 https://doi.org/10.1007/s00419-010-0479-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0479-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Linkov Alexander Institute for Problems of Mechanical Engineering, Russian Academy of Sciences, 61 Bol'soi pr. V.O., 199178, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Rybarska-Rusinek Liliana Department of Mathematics, Rzeszow University of Technology, W.Pola 2, 35-959, Rzeszow, Poland aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/9(2011-09-01), 1203-1214 0939-1533 81:9<1203 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer