caa a22 4500 397499590 CHVBK 20180308164529.0 cr unu---uuuuu 161202e199505 xx s 000 0 eng 10.1093/qjmam/48.2.189 doi (NATIONALLICENCE)oxford-10.1093/qjmam/48.2.189 A STRUCTURED PHASE TRANSITION FOR THE ANTIPLANE SHEAR OF AN ELASTIC CIRCULAR TUBE [Elektronische Daten] [ROGER FOSDICK, YING ZHANG] We consider the radially symmetric axial shear of an elastic circular tube. The strain-energy function for the material is non-convex, and the potential energy contains a penalty contribution for large strain gradients. We study the corresponding problem of minimum potential energy, and give a detailed analysis of its solution for the particular case of a trilinear material. In this case, the relevant Euler-Lagrange equation can be completely analysed in terms of special functions. We study the limiting behaviour of the solution as the penalty parameter is made infinitesimally small. Finally, we present numerical results for this solution and, for reasons of comparison, also for the solution in the case of a cubic material. © Oxford University Press Articles nationallicence FOSDICK ROGER Department of Aerospace Engineering and Mechanics, University of Minnesota Minneapolis 55455, USA aut ZHANG YING Department of Engineering Mechanics, University of Nebraska Lincoln 68588, USA aut The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 48/2(1995-05), 189-210 0033-5614 48:2<189 1995 48 qjmamj https://doi.org/10.1093/qjmam/48.2.189 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/qjmam/48.2.189 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- FOSDICK ROGER Department of Aerospace Engineering and Mechanics, University of Minnesota Minneapolis 55455, USA aut NATIONALLICENCE 700 1- ZHANG YING Department of Engineering Mechanics, University of Nebraska Lincoln 68588, USA aut NATIONALLICENCE 773 0- The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 48/2(1995-05), 189-210 0033-5614 48:2<189 1995 48 qjmamj Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford