V. Desikan et R. Sethuraman, Analysis of material nonlinear problems using pseudo-elastic finite element method, J PRES VESS, 122(4), 2000, pp. 457-461
Citations number
12
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF PRESSURE VESSEL TECHNOLOGY-TRANSACTIONS OF THE ASME
A method based on linear elastic finite element analysis is presented for s
tress field determination of elasto-plastic problems. Hencky's total deform
ation theory is used to define effective material parameters, which are tre
ated as spatial field variables and considered to be functions of final sta
te of equilibrium stress and material properties. These effective material
parameters are obtained in an iterative manner using strain-controlled proj
ection method, arc-length method, and Neuber rule applied on experimental u
niaxial tension test curve. Three problems of von Mises material are consid
ered to illustrate the application of the proposed method: a thick-walled c
ylinder subjected to internal pressure characterized by general work-harden
ing behavior, a V-notch specimen subjected to remote tensile load having el
astic-perfectly plastic behavior, and a rotating disk with material having
elastic linear work-hardening behavior. Obtained results for all the cases
are compared with standard nonlinear finite element results and are found t
o be in good agreement. [S0094-9930(00)00104-9].