Maximum norm wellposedness of nonlinear kinematic hardening models |
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Authors: | Martin Brokate Pavel Krejčí |
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Institution: | Mathematisches Seminar, Universit?t Kiel, D-24098 Kiel, Germany, DE Institute of Mathematics, Academy of Sciences, ?itná 25, 11567 Praha, Czech Republic, CZ
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Abstract: | The Chaboche model represents a widely popular rate independent elastoplastic stress-strain law of nonlinear kinematic hardening
type. We consider it as a special case of a certain system of ordinary differential equations coupled to a hysteresis nonlinearity
which expresses the principle of maximal dissipation of energy. For this system, we prove wellposedness with respect to the
maximum norm, that is, continuous dependence of the stress on the strain (or vice versa) with respect to
perturbations of small amplitude.
Received: May 15, 1997; accepted: September 7, 1997 |
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Keywords: | |
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