On the thermomechanical coupling in dissipative materials: A variational approach for generalized standard materials

Bartels, Alexander; Bartel, Thorsten; Čanađija, Marko; Mosler, Jörn

doi:10.1016/j.jmps.2015.04.011

Cited by 37 publications

(24 citation statements)

References 24 publications

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“…It also includes the Gough-Joule-Effect and plastic heating as well as isotropic elasticity, a Hill-type yield surface and a saturation type of isotropic hardening. Furthermore, a factor b scaling single dissipation contributions is included which does not influence the thermodynamic consistency of either model as is proposed in [2]. Heat exchange with the environment is considered by means of surface elements for either model.…”

Section: Model Formulationmentioning

confidence: 99%

“…4 Temperature field of specimen during the experiment would otherwise solely depend on mechanical material parameters. It is worth noting that b, as introduced in [2] and as used within this work, is not a Taylor-Quinney factor. In general, it describes neither the ratio of plastic to dissipated work nor the ratio of plastic power to dissipated energy.…”

Section: Model Formulationmentioning

confidence: 99%

“…The Helmholtz free energy function of both models is extended to account for a material parameter which has an influence on the amount of latent energy during plastic deformations, c.f. [2]. It is worth noting that both models predict the same mechanical material behaviour and only differ in the amount of dissipated energy.…”

Section: Introductionmentioning

confidence: 97%

“…Hence, several modelling approaches have been proposed and their predictions have usually been compared to experimental data of a dynamic Kolsky (Split-Hopkinson) bar test assuming adiabatic conditions, see e.g. [21,23,25] and [2]. In the latter work, an additional material parameter is introduced by making an extension to the postulated Helmholtz free energy function.…”

Section: Introductionmentioning

confidence: 99%

“…The model formulation is therefore vitally important for the identification of material parameters which can be used to accurately predict the material response of different BVPs, and the cited literature provides information on sensible model formulations. For this work, two thermodynamically consistent material models, either standard associated or non-associated plasticity, are extended to allow a greater flexibility in the predicted dissipation, following the modelling approach presented in [2]. These models are then subjected to a parameter identification for thermomechanically material models by using the framework presented in [22].…”

Section: Introductionmentioning

confidence: 99%

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Identification of thermal material parameters for thermo-mechanically coupled material models

Rose

Menzel

2021

Meccanica

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The possibility of accurately identifying thermal material parameters on the basis of a simple tension test is presented, using a parameter identification framework for thermo-mechanically coupled material models on the basis of full field displacement and temperature field measurements. Main objective is to show the impact of the material model formulation on the results of such an identification with respect to accuracy and uniqueness of the result. To do so, and as a proof of concept, the data of two different experiments is used. One experiment including cooling of the specimen, due to ambient temperature, and one without specimen cooling. The main constitutive relations of two basic material models are summarised (associated and non-associated plasticity), whereas both models are extended so as to introduce an additional material parameter for the thermodynamically consistent scaling of dissipated energy. The chosen models are subjected to two parameter identifications each, using the data of either experiment and focusing on the determination of thermal material parameters. The influence of the predicted dissipated energy of the models on the identification process is investigated showing that a specific material model formulation must be chosen carefully. The material model with associated evolution equations used within this work does neither allow a unique identification result, nor is any of the solutions for the underlying material parameters close to literature values. In contrast to that, a stable, that is locally unique, re-identification of the literature values is possible for the boundary problem at hand if the model with non-associated evolution equation is used and if cooling is included in the experimental data.

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Section: Model Formulationmentioning

confidence: 99%

Section: Model Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Identification of thermal material parameters for thermo-mechanically coupled material models

Rose

Menzel

2021

Meccanica

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On the determination of thermal boundary conditions for parameter identifications of thermo‐mechanically coupled material models

Rose

Menzel

2022

GAMM-Mitteilungen

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Identifiability and sensitivity of thermal boundary coefficients identified alongside thermal material parameters by means of full field measurements during a simple tension test are shown empirically using a simple tension test with self heating as a proof of concept. The identification is started for 10 different initial guesses, all of which converge toward the same optimum. The solution appears to be locally unique and parameters therefore independent, but a comparison against a reference solution indicates high correlation between three model parameters and the prescribed external temperatures required to model heat exchange with either air or clamping jaws. This sensitivity is further analyzed by rerunning the identification with different prescribed external temperatures and by comparing the obtained optimal parameter values. Although the model parameters are independent, optimal values for heat conduction and the heat transfer coefficients are highly correlated as well as sensitive with respect to a change, respectively, measurement error of the external temperatures. A precise fit on the basis of a simple tension test therefore requires precise measurements and a suitable material model which is able to accurately predict dissipated energy.

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Virtual Elements for Thermo-mechanical Problems

Wriggers,

Aldakheel,

Hudobivnik

2023

Virtual Element Methods in Engineering Sciences

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On the thermomechanical coupling in dissipative materials: A variational approach for generalized standard materials

Cited by 37 publications

References 24 publications

Identification of thermal material parameters for thermo-mechanically coupled material models

Identification of thermal material parameters for thermo-mechanically coupled material models

On the determination of thermal boundary conditions for parameter identifications of thermo‐mechanically coupled material models

Virtual Elements for Thermo-mechanical Problems

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