On the Wellposedness of the Chaboche Model

Brokate, Martin; Krejčı́, Pavel

doi:10.1007/978-3-0348-8849-3_5

Cited by 5 publications

(3 citation statements)

References 13 publications

(16 reference statements)

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“…This was derived by Hans-Dieter Alber from a result in [1]. More about existence and uniqueness results for constitutive models can be found in [8,13].…”

Section: Extended Model Of Chabochementioning

confidence: 93%

Identification of Material Parameters for Inelastic Constitutive Models Using Stochastic Methods

Harth

Lehn

2007

GAMM-Mitteilungen

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The parameters of a constitutive model are usually identified by minimization of the distance between model response and experimental data. However, measurement failures and differences in the specimens lead to deviations in the determined parameters. In this article we present our results of a study of these uncertainties for two constitutive models of Chaboche-type. The models differ only by a kinematic hardening variable. It turns out, that the kinematic hardening variable proposed by Haupt, Kamlah, and Tsakmakis yields a better description quality than the one of Armstrong and Frederick. For the parameter optimization as well as for the study of the deviations of the fitted parameters we apply stochastic methods. The available test data result from creep tests, tension-relaxation tests and cyclic tests performed on AINSI SS316 stainless steel at 600 O C. Since the amount of test data is too small for a proper statistical analysis we apply a stochastic simulation technique to generate artificial data which exhibit the same stochastic behaviour as the experimental data.

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“…This was derived by Hans-Dieter Alber from a result in [1]. More about existence and uniqueness results for constitutive models can be found in [8,13].…”

Section: Extended Model Of Chabochementioning

confidence: 93%

Identification of Material Parameters for Inelastic Constitutive Models Using Stochastic Methods

Harth

Lehn

2007

GAMM-Mitteilungen

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“…Moreover, and denote elastic strain and plastic strain, with plastic strain rate R . To introduce further notation, let 3 be the symmetric N;N-tensors (matrices) with the usual inner product and norm in 1 but as in [5,6] it poses here no additional problems to generalize this to (2.4), allowing a finite non-negative measure d "d (k) on some measure space I instead of counting measure corresponding to (2.9). Accordingly, we assume for the k-dependent parameters in (2.5):…”

Section: The Chaboche Modelmentioning

confidence: 99%

Periodic solutions of non-linear kinematic hardening models

Kunze

1999

Math. Meth. Appl. Sci.

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“…The basic feature of this model is that plasticization saturates and very large stresses cannot be reached. The analysis of the constitutive relation for such model has been presented by Brokate & Krejčí [4,5,6]. Threedimensional results have been obtained by Che lmiński [8], see also [14].…”

Section: David Melching and Ulisse Stefanellimentioning

confidence: 99%