caa a22 4500 445811722 CHVBK 20180317145214.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00419-011-0529-9 doi (NATIONALLICENCE)springer-10.1007/s00419-011-0529-9 A general analytic solution for plane strain bending under tension for strain-hardening material at large strains [Elektronische Daten] [Sergei Alexandrov, Ken-ichi Manabe, Tsuyoshi Furushima] A new analytic solution for plane strain bending under tension of a sheet is proposed for elastic-plastic, isotropic, incompressible, strain-hardening material at large strains. Numerical treatment is only necessary to calculate ordinary integrals and solve transcendental equations. No restriction is imposed on the hardening law. All governing equations and boundary conditions are exactly satisfied. The only exception is that the actual stress distribution over the ends of the sheet is replaced with a concentrated force and a concentrated bending moment. The through-thickness distribution of residual stresses and a measure of springback are also found. The range of validity of the solution is determined. An illustrative example is provided for Swift's hardening law. Springer-Verlag, 2011 Bending under tension nationallicence Strain hardening nationallicence Large strains nationallicence Residual stresses nationallicence Analytic solution nationallicence Alexandrov Sergei A.Yu. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1 Prospect Vernadskogo, 119526, Moscow, Russia aut Manabe Ken-ichi Department of Mechanical Engineering, Tokyo Metropolitan University, 1-1 Minamiosawa, Hachioji-shi, 192-0397, Tokyo, Japan aut Furushima Tsuyoshi Department of Mechanical Engineering, Tokyo Metropolitan University, 1-1 Minamiosawa, Hachioji-shi, 192-0397, Tokyo, Japan aut Archive of Applied Mechanics Springer-Verlag 81/12(2011-12-01), 1935-1952 0939-1533 81:12<1935 2011 81 419 https://doi.org/10.1007/s00419-011-0529-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-011-0529-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Alexandrov Sergei A.Yu. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1 Prospect Vernadskogo, 119526, Moscow, Russia aut NATIONALLICENCE 700 1- Manabe Ken-ichi Department of Mechanical Engineering, Tokyo Metropolitan University, 1-1 Minamiosawa, Hachioji-shi, 192-0397, Tokyo, Japan aut NATIONALLICENCE 700 1- Furushima Tsuyoshi Department of Mechanical Engineering, Tokyo Metropolitan University, 1-1 Minamiosawa, Hachioji-shi, 192-0397, Tokyo, Japan aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/12(2011-12-01), 1935-1952 0939-1533 81:12<1935 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer