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On Anticipatory Systems at Continua

Peter B. Béda

p. 181-190

    Abstract

    In case of classical continuum mechanics the set of basic equations consists of the equation of motion, the kinematic equation and the constitutive equations. The paper concentrates on the stability problems and the effects of discretization on material modeling. The method of investigation is analytic, the monodromy operator of the discrete system is studied. We study how discretization, stability and anticipation act on one another. As results we show cases, when the anticipatory nature of a material model leads to instability.

    Index

    Keywords

    constitutive equation, discretization, monodromy operator

    Text

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    References

    Bibliographical reference

    Peter B. Béda, « On Anticipatory Systems at Continua », CASYS, 30 | 2014, 181-190.

    Electronic reference

    Peter B. Béda, « On Anticipatory Systems at Continua », CASYS [Online], 30 | 2014, Online since 14 October 2024, connection on 02 June 2025. URL : http://popups.uliege.be/3041-539x/index.php?id=4700

    Author

    Peter B. Béda

    HAS-BUTE Research Group on Dynamics of Machines and Vehicles, Budapest University of Technology' Müegyetem rkp.1-3. H-1111 Budapest, Hungary

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    Copyright

    CC BY-SA 4.0 Deed