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    STP1387

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

    Published: 01 January 2000


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    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


    Author Information:

    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,


    Committee/Subcommittee: E08.04

    DOI: 10.1520/STP13501S