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On effects of discretization and the selection of constitutive equations on stability of continua
Author(s) -
Béda Peter
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410172
Subject(s) - discretization , constitutive equation , continuum mechanics , stability (learning theory) , mathematics , kinematics , classical mechanics , discretization error , equations of motion , mathematical analysis , physics , finite element method , computer science , thermodynamics , machine learning
In classical continuum mechanics the set of basic equations consists of the equation of motion, the kinematic equation and the constitutive equations. The study concentrates on constitutive modeling and the effects of discretization on stability problems. The method of investigation is analytic, the spectra of linear mapping operators of continuous and discrete dynamical systems are studied. As results cases are found, when a hidden incursive nature of a material model leads to unstable behavior of the continuum. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)