SEDL / STP / STP1387-EB / STP13501S



A Newton Algorithm for Solving Non-Linear Problems in Mechanics of Structures Under Complex Loading Histories

Arzt, M
GKSS Forschungszentrum Geesthacht GmbH, Institut für Werkstofforschung, Geesthacth,

Brocks, W
GKSS Forschungszentrum Geesthacht GmbH, Institut für Werkstofforschung, Geesthacth,

Mohr, T
GKSS Forschungszentrum Geesthacht GmbH, Institut für Werkstofforschung, Geesthacth,


Pages: 10    Published: Jan 2000


Download this paper for $25 PDF (328K)          View License Agreement
Abstract

A Newton algorithm is discussed. This algorithm allows for studying nonlinear material behavior, such as plasticity and viscoplasticity. The material behavior is described by so-called internal variables. The model applied in this paper was developed by Lemaitre and Chaboche. The Newton algorithm is implemented as a user-subroutine in the commercial finite-element method package ABAQUS. The results of a numerical analysis of the rotation of an aircraft turbine disk are presented. Cyclic loading conditions are studied, and the results are compared with numerical results in the literature.


Keywords:
cyclic loading, constitutive equations, elasto-viscoplastic material, finite elements, numerical algorithms

Paper ID: STP13501S
Committee/Subcommittee: E08.04
DOI: 10.1520/STP13501S
CrossRef ASTM International is a member of CrossRef.