TY  - JOUR
AB  - An algorithm is described for the incremental solution of elastic—plastic finite element analysis using a piecewise holonomic constitutive law based on a von Mises yield condition. The holonomic assumption effectively converts each incremental problem into a non‐linear elastic—plastic problem. The algorithm is iterative, substituting the non‐linear strain potential by a quadratic potential at each iteration, and convergence is proved. The algorithm has been implemented into a finite element program as a series of secant modulus approximations, and results for a variety of problems are given. The rate of convergence is fairly slow, but the algorithm can be very easily programmed as an extension of an elastic program, and may have value as an independent method of determining incremental elastic—plastic solutions.
VL  - 3
IS  - 3
SN  - 0264-4401
DO  - 10.1108/eb023656
UR  - https://doi.org/10.1108/eb023656
AU  - Bird W.W.
AU  - Martin J.B.
PY  - 1986
Y1  - 1986/01/01
TI  - A secant approximation for holonomic elastic—plastic incremental analysis with a von Mises yield condition
T2  - Engineering Computations
PB  - MCB UP Ltd
SP  - 192
EP  - 201
Y2  - 2024/04/27
ER  -