TY - JOUR T1 - Elastoplastic torsion by quadratic programming JF - Computer Methods in Applied Mechanics and Engineering Y1 - 1978 A1 - O'Leary, Dianne P. A1 - Yang,Wei H. AB - A finite element scheme (together with a conjugate gradient algorithm) is demonstrated to be a very effective method for analyzing general elastoplastic torsion of prismatic bars posed as quadratic programming problems. Solutions for bars with elliptical and Sokolovsky's oval cross-sections are presented. The solutions for the elliptical bars agree with the existing elastic and limit plastic solutions at the two extremes of the elastic-plastic range. The algorithm also reproduces accurately the Sokolovsky solution and extends it beyond its limitations. VL - 16 SN - 0045-7825 UR - http://www.sciencedirect.com/science/article/pii/004578257890107X CP - 3 M3 - 10.1016/0045-7825(78)90107-X ER -