caa a22 4500 445812087 CHVBK 20180317145215.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s00419-010-0419-6 doi (NATIONALLICENCE)springer-10.1007/s00419-010-0419-6 A generalization of Prandtl's and Spencer's solutions on axisymmetric viscous flow [Elektronische Daten] [Sergei Alexandrov, Yeau-Ren Jeng] New analytical solutions for axisymmetric deformation of a viscous hollow circular cylinder on a rigid fibre are given. One of the solutions generalizes the famous Prandtl's solution for compression of a rigid perfectly plastic layer between two rough, parallel plates and the other is a modification of Spencer's solution for compression of an axisymmetric rigid perfectly plastic layer on a rigid fibre. All equations are satisfied exactly whereas some boundary conditions are approximated in a standard manner. Special attention is devoted to frictional interface conditions since these conditions result in additional limitations of the applicability of the solution when compared to that based on a rigid perfectly plastic models. In particular, difficulties with the convergence of numerical solutions under certain conditions can be explained with the use of results obtained. Therefore, the solutions can serve as benchmark problems for verifying numerical codes. The solutions are also adopted to predict the brittle fracture of fibres by means of an approach used in previous studies and confirmed by experiment. Springer-Verlag, 2010 Analytical solution nationallicence Interface conditions nationallicence Composite materials nationallicence Brittle fracture nationallicence Viscoplasticity nationallicence Alexandrov Sergei Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1 Prospect Vernadskogo, 119526, Moscow, Russia aut Jeng Yeau-Ren Department of Mechanical Engineering, National Chung Cheng University, 168 University Road, Ming-Hsiung, Chia-Yi, Taiwan aut Archive of Applied Mechanics Springer-Verlag 81/4(2011-04-01), 437-449 0939-1533 81:4<437 2011 81 419 https://doi.org/10.1007/s00419-010-0419-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0419-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Alexandrov Sergei Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1 Prospect Vernadskogo, 119526, Moscow, Russia aut NATIONALLICENCE 700 1- Jeng Yeau-Ren Department of Mechanical Engineering, National Chung Cheng University, 168 University Road, Ming-Hsiung, Chia-Yi, Taiwan aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/4(2011-04-01), 437-449 0939-1533 81:4<437 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer