Unconditionally stable mid-point time integration in elastic-plastic dynamics
type: Item
instance of: scholarly article
title: Unconditionally stable mid-point time integration in elastic-plastic dynamics
zbMATH Open document ID: 0714.73022
author: Alberto Corigliano
author: U. Perego
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/244074
review text: Summary: The dynamic analysis of elastoplastic systems discretized by finite elements is dealt with. The material behaviour is described by a rather general internal variable model. The unknown fields are modelled in terms of suitable variables, generalized in Prager's sense. Time integrations are carried out by means of a generalized mid-point rule. The resulting nonlinear equations expressing dynamic equilibrium of the finite step problem are solved by means of a Newton-Raphson iterative scheme. The unconditional stability of the adopted integration method is proved according to two nonlinear stability criteria.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 4176565
zbMATH Keywords: Newton-Raphson iterative scheme
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4176565