Development of a new integration algorithm for parallel implementation of the finite element elasto-plastic analysis
Z. Ding, S. Kalyanasundaram, L. Grosz, S. Roberts and M. Cardew-Hall
(Received 7 August 2000)
Abstract
The accurate integration of stress-strain relations is an important
factor in element analysis for elasto-plastic problems. The
conventional method for this problem is the Euler algorithm which
divides the whole integration process into a number of smaller
substeps of equal size. It is difficult to control the errors in
such integration scheme. In this paper, we will present a new
algorithm for integrating strain-stress relations. It is based on
the third and the fourth order Runge-Kutta method. This substepping
scheme controls the errors in the integration process by adjusting
the substep size automatically. In order to implement the
substepping scheme on parallel systems, a parallel preconditioned
conjugate gradient method is developed. The resulting algorithms
have been implemented on a parallel environment defined by a cluster
of workstation and their performance will be presented.