Introducing the concept of directly connected rheological elements by reviewing rheological models at large strains

Kießling, Robert; Landgraf, Ralf; Scherzer, Robert; Ihlemann, Jörn

doi:10.1016/j.ijsolstr.2016.04.023

Cited by 34 publications

(22 citation statements)

References 39 publications

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“…Practical applications were analyzed using the model of Shutov and Kreißig in [27,28,37]. This model was derived later using rather general modelling principles in [4] and [17]. A similar model was proposed by Vladimirov et al in [41].…”

Section: Deterministic Plasticity Model Of Shutov and Kreißig (2008)mentioning

confidence: 99%

Parameter identification in elasto‐plasticity: distance between parameters and impact of measurement errors

Shutov

Kaygorodtseva

2019

Z Angew Math Mech

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A special aspect of parameter identification in finite‐strain elasto‐plasticity is considered. Namely, we analyze the impact of the measurement errors on the resulting set of material parameters. In order to define the sensitivity of parameters with respect to the measurement errors, a mechanics‐based distance between two sets of parameters is introduced. Using this distance function, we assess the reliability of certain parameter identification procedures. The assessment involves introduction of artificial noise to the experimental data; the noise can be both correlated and uncorrelated. An analytical procedure to speed up Monte Carlo simulations is presented. As a result, a simple tool for estimating the robustness of parameter identification is obtained. The efficiency of the approach is illustrated using a model of finite‐strain viscoplasticity, which accounts for combined isotropic and kinematic hardening. It is shown that dealing with correlated measurement errors, most stable identification results are obtained for non‐diagonal weighting matrix. At the same time, there is a conflict between the stability and accuracy.

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Section: Deterministic Plasticity Model Of Shutov and Kreißig (2008)mentioning

confidence: 99%

Parameter identification in elasto‐plasticity: distance between parameters and impact of measurement errors

Shutov

Kaygorodtseva

2019

Z Angew Math Mech

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“…The basic elements, which are elasticity, viscosity and plasticity, are combined in parallel and series connections. Currently it is implemented as a one-dimensional model, but an extension to full 3D is straight forward having the work by Kießling et al in mind [4]. Each model can be represented by a tree structure with integer nodes.…”

Section: Rheological Modelsmentioning

confidence: 99%

Automatic generation of material laws based on rheological models using a genetic algorithm

Wulf

Kießling

Gypstuhl

et al. 2019

Proc Appl Math and Mech

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Developing material laws based on rheological models is an established method in the field of material modelling. Here, the identification of an appropriate rheological model fitting a given set of experimental data is often a challenging task. This contribution presents an automated method for searching such rheological models. To this end, a tree representation for rheological models is defined first. Then, a generic material law, that can implement any rheological model given by a model tree, is introduced. Based on this, a genetic algorithm is used to generate rheological models, which are subsequently evaluated by fitting to measurements. This methods allows to search for a global optimum in the space of material models. Successful applications to both synthetic and actual experimental data are demonstrated.

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“…Network A is presented as single spring and network B as damper and spring connected in series. This kind of approach can be found in other material models (Kießling, 2016). Such composition has important features as it allows to portray material creep and stress relaxation phenomenon, both of which occur in elastomers and are important for a complete description of mechanical response for this type of material.…”

Section: Materials Modelmentioning

confidence: 99%

Numerical Modelling of Metal-Elastomer Spring Nonlinear Response for Low-Rate Deformations

Sikora

Michalczyk

Machniewicz

2018

Acta Mechanica Et Automatica

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Advanced knowledge of mechanical characteristics of metal-elastomer springs is useful in their design process and selection. It can also be used in simulating dynamics of machine where such elements are utilized. Therefore this paper presents a procedure for preparing and executing FEM modelling of a single metal-elastomer spring, also called Neidhart’s spring, for low-rate deformations. Elastomer elements were made of SBR rubber of two hardness values: 50°Sh and 70°Sh. For the description of material behaviour the Bergström-Boyce model has been used.

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Introducing the concept of directly connected rheological elements by reviewing rheological models at large strains

Cited by 34 publications

References 39 publications

Parameter identification in elasto‐plasticity: distance between parameters and impact of measurement errors

Parameter identification in elasto‐plasticity: distance between parameters and impact of measurement errors

Automatic generation of material laws based on rheological models using a genetic algorithm

Numerical Modelling of Metal-Elastomer Spring Nonlinear Response for Low-Rate Deformations

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