The bending moment and springback in pure bending of anisotropic sheets

被引:18
作者
Alexandrov, Sergei [1 ,2 ]
Hwang, Yeong-Maw [1 ]
机构
[1] Natl Sun Yat Sen Univ, Dept Mech & Electromech Engn, Kaohsiung 80424, Taiwan
[2] Russian Acad Sci, Inst Problems Mech, Moscow, Russia
关键词
Pure bending; Finite deformation; Springback; Analytic solution; PLANE-STRAIN; METAL; SIMULATION; PLATE;
D O I
10.1016/j.ijsolstr.2009.08.023
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Finite deformation rigid plastic and elastic-plastic analyses of plane strain pure bending of a plastically anisotropic sheet is presented. An efficient method for finding the exact solution is proposed by extending the previously developed method to the stage of unloading. Using this method the solutions are obtained in closed form or reduced to a numerical treatment of ordinary integrals, or an ordinary differential equation, or transcendental equations. An effect of plastic anisotropy and elastic properties on the bending moment is analyzed. The distribution of residual stresses is illustrated and an effect of material and process parameters on springback is investigated. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:4361 / 4368
页数:8
相关论文
共 19 条
[1]   An alternative approach to analysis of plane-strain pure bending at large strains [J].
Alexandrov, S. ;
Kim, Ji Hoon ;
Chung, Kwansoo ;
Kang, Tae Jin .
JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN, 2006, 41 (05) :397-410
[2]   An exact solution for the elastic/plastic bending of anisotropic sheet metal under conditions of plane strain [J].
Chakrabarty, J ;
Lee, WB ;
Chan, KC .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2001, 43 (08) :1871-1880
[3]   Effect of anisotropy on springback of integrated circuit leadframes [J].
Chan, KC ;
Wang, SH .
JOURNAL OF MATERIALS ENGINEERING AND PERFORMANCE, 1999, 8 (03) :368-374
[4]   INFLUENCE OF HARDENING AND ANISOTROPY ON PLANE-STRAIN COMPRESSION OF THIN METAL STRIP [J].
COLLINS, IF ;
MEGUID, SA .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1977, 44 (02) :271-278
[5]   Plane strain elastic-plastic bending of a strain-hardening curved beam [J].
Dadras, P .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2001, 43 (01) :39-56
[6]  
DADRAS P, 1982, T ASME, V104, P224
[7]   FINITE DEFORMATION ELASTOPLASTIC SOLUTION FOR THE PURE BENDING PROBLEM OF A WIDE PLATE OF ELASTIC LINEAR-HARDENING MATERIAL [J].
GAO, XL .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1994, 31 (10) :1357-1376
[8]  
Hill R., 1950, The Mathematical Theory of Plasticity
[9]   An alternative method of solving multilayer bending problems [J].
Hsueh, CH ;
Lee, S ;
Chuang, TJ .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2003, 70 (01) :151-154
[10]   Simulation of springback [J].
Li, KP ;
Carden, WP ;
Wagoner, RH .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2002, 44 (01) :103-122