Dissipative heating of elastomers: a new modelling approach based on finite and coupled thermomechanics
Abstract Especially in the automotive industries, elastomers take an important role. They are used in different types of bearings, where they inhibit vibration propagation and thereby significantly enhance driving performance and comfort. That is why several models have already been developed to sim...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Johlitz, Michael [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Berlin Heidelberg 2015 |
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| Übergeordnetes Werk: |
Enthalten in: Continuum mechanics and thermodynamics - Springer Berlin Heidelberg, 1989, 28(2015), 4 vom: 30. Juli, Seite 1111-1125 |
|---|---|
| Übergeordnetes Werk: |
volume:28 ; year:2015 ; number:4 ; day:30 ; month:07 ; pages:1111-1125 |
| Links: |
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| DOI / URN: |
10.1007/s00161-015-0469-7 |
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| Katalog-ID: |
OLC2073831451 |
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| 520 | |a Abstract Especially in the automotive industries, elastomers take an important role. They are used in different types of bearings, where they inhibit vibration propagation and thereby significantly enhance driving performance and comfort. That is why several models have already been developed to simulate the material’s mechanical response to stresses and strains. In many cases, these models are developed under isothermal conditions. Others include the temperature-dependent mechanical behaviour to represent lower stiffness’s for higher temperatures. In this contribution it is shown by some exemplary experiments that viscoelastic material heats up under dynamic deformations. Hence, the material’s properties change due to the influence of the temperature without changing the surrounding conditions. With some of these experiments, it is shown that a fully coupled material model is necessary to predict the behaviour of bearings under dynamic loads. The focus of this contribution lies on the modelling of the thermoviscoelastic behaviour of elastomers. In a first step, a twofold multiplicative split of the deformation gradient is performed to be able to describe both mechanical and thermal deformations. This concept introduces different configurations. The stress tensors existing on these configurations are used to formulate the stress power in the first law of thermodynamics which allows to simulate the material’s self-heating. To formulate the temperature dependency of the mechanical behaviour, the non-equilibrium part of the Helmholtz free energy function is formulated as a function of the temperature and the deformation history. With the introduced model, some FE calculations are carried out to show the model’s capability to represent the thermoviscoelastic behaviour including the coupling in both directions. | ||
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10.1007/s00161-015-0469-7 doi (DE-627)OLC2073831451 (DE-He213)s00161-015-0469-7-p DE-627 ger DE-627 rakwb eng 530 VZ Johlitz, Michael verfasserin aut Dissipative heating of elastomers: a new modelling approach based on finite and coupled thermomechanics 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2015 Abstract Especially in the automotive industries, elastomers take an important role. They are used in different types of bearings, where they inhibit vibration propagation and thereby significantly enhance driving performance and comfort. That is why several models have already been developed to simulate the material’s mechanical response to stresses and strains. In many cases, these models are developed under isothermal conditions. Others include the temperature-dependent mechanical behaviour to represent lower stiffness’s for higher temperatures. In this contribution it is shown by some exemplary experiments that viscoelastic material heats up under dynamic deformations. Hence, the material’s properties change due to the influence of the temperature without changing the surrounding conditions. With some of these experiments, it is shown that a fully coupled material model is necessary to predict the behaviour of bearings under dynamic loads. The focus of this contribution lies on the modelling of the thermoviscoelastic behaviour of elastomers. In a first step, a twofold multiplicative split of the deformation gradient is performed to be able to describe both mechanical and thermal deformations. This concept introduces different configurations. The stress tensors existing on these configurations are used to formulate the stress power in the first law of thermodynamics which allows to simulate the material’s self-heating. To formulate the temperature dependency of the mechanical behaviour, the non-equilibrium part of the Helmholtz free energy function is formulated as a function of the temperature and the deformation history. With the introduced model, some FE calculations are carried out to show the model’s capability to represent the thermoviscoelastic behaviour including the coupling in both directions. Viscoelasticity Dissipative heating Thermomechanics Nonlinear continuum mechanics Dippel, Benedikt aut Lion, Alexander aut Enthalten in Continuum mechanics and thermodynamics Springer Berlin Heidelberg, 1989 28(2015), 4 vom: 30. Juli, Seite 1111-1125 (DE-627)130799327 (DE-600)1007878-2 (DE-576)023042303 0935-1175 nnns volume:28 year:2015 number:4 day:30 month:07 pages:1111-1125 https://doi.org/10.1007/s00161-015-0469-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_24 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 AR 28 2015 4 30 07 1111-1125 |
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10.1007/s00161-015-0469-7 doi (DE-627)OLC2073831451 (DE-He213)s00161-015-0469-7-p DE-627 ger DE-627 rakwb eng 530 VZ Johlitz, Michael verfasserin aut Dissipative heating of elastomers: a new modelling approach based on finite and coupled thermomechanics 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2015 Abstract Especially in the automotive industries, elastomers take an important role. They are used in different types of bearings, where they inhibit vibration propagation and thereby significantly enhance driving performance and comfort. That is why several models have already been developed to simulate the material’s mechanical response to stresses and strains. In many cases, these models are developed under isothermal conditions. Others include the temperature-dependent mechanical behaviour to represent lower stiffness’s for higher temperatures. In this contribution it is shown by some exemplary experiments that viscoelastic material heats up under dynamic deformations. Hence, the material’s properties change due to the influence of the temperature without changing the surrounding conditions. With some of these experiments, it is shown that a fully coupled material model is necessary to predict the behaviour of bearings under dynamic loads. The focus of this contribution lies on the modelling of the thermoviscoelastic behaviour of elastomers. In a first step, a twofold multiplicative split of the deformation gradient is performed to be able to describe both mechanical and thermal deformations. This concept introduces different configurations. The stress tensors existing on these configurations are used to formulate the stress power in the first law of thermodynamics which allows to simulate the material’s self-heating. To formulate the temperature dependency of the mechanical behaviour, the non-equilibrium part of the Helmholtz free energy function is formulated as a function of the temperature and the deformation history. With the introduced model, some FE calculations are carried out to show the model’s capability to represent the thermoviscoelastic behaviour including the coupling in both directions. Viscoelasticity Dissipative heating Thermomechanics Nonlinear continuum mechanics Dippel, Benedikt aut Lion, Alexander aut Enthalten in Continuum mechanics and thermodynamics Springer Berlin Heidelberg, 1989 28(2015), 4 vom: 30. Juli, Seite 1111-1125 (DE-627)130799327 (DE-600)1007878-2 (DE-576)023042303 0935-1175 nnns volume:28 year:2015 number:4 day:30 month:07 pages:1111-1125 https://doi.org/10.1007/s00161-015-0469-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_24 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 AR 28 2015 4 30 07 1111-1125 |
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10.1007/s00161-015-0469-7 doi (DE-627)OLC2073831451 (DE-He213)s00161-015-0469-7-p DE-627 ger DE-627 rakwb eng 530 VZ Johlitz, Michael verfasserin aut Dissipative heating of elastomers: a new modelling approach based on finite and coupled thermomechanics 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2015 Abstract Especially in the automotive industries, elastomers take an important role. They are used in different types of bearings, where they inhibit vibration propagation and thereby significantly enhance driving performance and comfort. That is why several models have already been developed to simulate the material’s mechanical response to stresses and strains. In many cases, these models are developed under isothermal conditions. Others include the temperature-dependent mechanical behaviour to represent lower stiffness’s for higher temperatures. In this contribution it is shown by some exemplary experiments that viscoelastic material heats up under dynamic deformations. Hence, the material’s properties change due to the influence of the temperature without changing the surrounding conditions. With some of these experiments, it is shown that a fully coupled material model is necessary to predict the behaviour of bearings under dynamic loads. The focus of this contribution lies on the modelling of the thermoviscoelastic behaviour of elastomers. In a first step, a twofold multiplicative split of the deformation gradient is performed to be able to describe both mechanical and thermal deformations. This concept introduces different configurations. The stress tensors existing on these configurations are used to formulate the stress power in the first law of thermodynamics which allows to simulate the material’s self-heating. To formulate the temperature dependency of the mechanical behaviour, the non-equilibrium part of the Helmholtz free energy function is formulated as a function of the temperature and the deformation history. With the introduced model, some FE calculations are carried out to show the model’s capability to represent the thermoviscoelastic behaviour including the coupling in both directions. Viscoelasticity Dissipative heating Thermomechanics Nonlinear continuum mechanics Dippel, Benedikt aut Lion, Alexander aut Enthalten in Continuum mechanics and thermodynamics Springer Berlin Heidelberg, 1989 28(2015), 4 vom: 30. Juli, Seite 1111-1125 (DE-627)130799327 (DE-600)1007878-2 (DE-576)023042303 0935-1175 nnns volume:28 year:2015 number:4 day:30 month:07 pages:1111-1125 https://doi.org/10.1007/s00161-015-0469-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_24 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 AR 28 2015 4 30 07 1111-1125 |
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10.1007/s00161-015-0469-7 doi (DE-627)OLC2073831451 (DE-He213)s00161-015-0469-7-p DE-627 ger DE-627 rakwb eng 530 VZ Johlitz, Michael verfasserin aut Dissipative heating of elastomers: a new modelling approach based on finite and coupled thermomechanics 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2015 Abstract Especially in the automotive industries, elastomers take an important role. They are used in different types of bearings, where they inhibit vibration propagation and thereby significantly enhance driving performance and comfort. That is why several models have already been developed to simulate the material’s mechanical response to stresses and strains. In many cases, these models are developed under isothermal conditions. Others include the temperature-dependent mechanical behaviour to represent lower stiffness’s for higher temperatures. In this contribution it is shown by some exemplary experiments that viscoelastic material heats up under dynamic deformations. Hence, the material’s properties change due to the influence of the temperature without changing the surrounding conditions. With some of these experiments, it is shown that a fully coupled material model is necessary to predict the behaviour of bearings under dynamic loads. The focus of this contribution lies on the modelling of the thermoviscoelastic behaviour of elastomers. In a first step, a twofold multiplicative split of the deformation gradient is performed to be able to describe both mechanical and thermal deformations. This concept introduces different configurations. The stress tensors existing on these configurations are used to formulate the stress power in the first law of thermodynamics which allows to simulate the material’s self-heating. To formulate the temperature dependency of the mechanical behaviour, the non-equilibrium part of the Helmholtz free energy function is formulated as a function of the temperature and the deformation history. With the introduced model, some FE calculations are carried out to show the model’s capability to represent the thermoviscoelastic behaviour including the coupling in both directions. Viscoelasticity Dissipative heating Thermomechanics Nonlinear continuum mechanics Dippel, Benedikt aut Lion, Alexander aut Enthalten in Continuum mechanics and thermodynamics Springer Berlin Heidelberg, 1989 28(2015), 4 vom: 30. Juli, Seite 1111-1125 (DE-627)130799327 (DE-600)1007878-2 (DE-576)023042303 0935-1175 nnns volume:28 year:2015 number:4 day:30 month:07 pages:1111-1125 https://doi.org/10.1007/s00161-015-0469-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_24 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 AR 28 2015 4 30 07 1111-1125 |
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10.1007/s00161-015-0469-7 doi (DE-627)OLC2073831451 (DE-He213)s00161-015-0469-7-p DE-627 ger DE-627 rakwb eng 530 VZ Johlitz, Michael verfasserin aut Dissipative heating of elastomers: a new modelling approach based on finite and coupled thermomechanics 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2015 Abstract Especially in the automotive industries, elastomers take an important role. They are used in different types of bearings, where they inhibit vibration propagation and thereby significantly enhance driving performance and comfort. That is why several models have already been developed to simulate the material’s mechanical response to stresses and strains. In many cases, these models are developed under isothermal conditions. Others include the temperature-dependent mechanical behaviour to represent lower stiffness’s for higher temperatures. In this contribution it is shown by some exemplary experiments that viscoelastic material heats up under dynamic deformations. Hence, the material’s properties change due to the influence of the temperature without changing the surrounding conditions. With some of these experiments, it is shown that a fully coupled material model is necessary to predict the behaviour of bearings under dynamic loads. The focus of this contribution lies on the modelling of the thermoviscoelastic behaviour of elastomers. In a first step, a twofold multiplicative split of the deformation gradient is performed to be able to describe both mechanical and thermal deformations. This concept introduces different configurations. The stress tensors existing on these configurations are used to formulate the stress power in the first law of thermodynamics which allows to simulate the material’s self-heating. To formulate the temperature dependency of the mechanical behaviour, the non-equilibrium part of the Helmholtz free energy function is formulated as a function of the temperature and the deformation history. With the introduced model, some FE calculations are carried out to show the model’s capability to represent the thermoviscoelastic behaviour including the coupling in both directions. Viscoelasticity Dissipative heating Thermomechanics Nonlinear continuum mechanics Dippel, Benedikt aut Lion, Alexander aut Enthalten in Continuum mechanics and thermodynamics Springer Berlin Heidelberg, 1989 28(2015), 4 vom: 30. Juli, Seite 1111-1125 (DE-627)130799327 (DE-600)1007878-2 (DE-576)023042303 0935-1175 nnns volume:28 year:2015 number:4 day:30 month:07 pages:1111-1125 https://doi.org/10.1007/s00161-015-0469-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_24 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 AR 28 2015 4 30 07 1111-1125 |
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Dissipative heating of elastomers: a new modelling approach based on finite and coupled thermomechanics |
| author_sort |
Johlitz, Michael |
| journal |
Continuum mechanics and thermodynamics |
| journalStr |
Continuum mechanics and thermodynamics |
| lang_code |
eng |
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500 - Science |
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marc |
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2015 |
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txt |
| container_start_page |
1111 |
| author_browse |
Johlitz, Michael Dippel, Benedikt Lion, Alexander |
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28 |
| class |
530 VZ |
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Aufsätze |
| author-letter |
Johlitz, Michael |
| doi_str_mv |
10.1007/s00161-015-0469-7 |
| dewey-full |
530 |
| title_sort |
dissipative heating of elastomers: a new modelling approach based on finite and coupled thermomechanics |
| title_auth |
Dissipative heating of elastomers: a new modelling approach based on finite and coupled thermomechanics |
| abstract |
Abstract Especially in the automotive industries, elastomers take an important role. They are used in different types of bearings, where they inhibit vibration propagation and thereby significantly enhance driving performance and comfort. That is why several models have already been developed to simulate the material’s mechanical response to stresses and strains. In many cases, these models are developed under isothermal conditions. Others include the temperature-dependent mechanical behaviour to represent lower stiffness’s for higher temperatures. In this contribution it is shown by some exemplary experiments that viscoelastic material heats up under dynamic deformations. Hence, the material’s properties change due to the influence of the temperature without changing the surrounding conditions. With some of these experiments, it is shown that a fully coupled material model is necessary to predict the behaviour of bearings under dynamic loads. The focus of this contribution lies on the modelling of the thermoviscoelastic behaviour of elastomers. In a first step, a twofold multiplicative split of the deformation gradient is performed to be able to describe both mechanical and thermal deformations. This concept introduces different configurations. The stress tensors existing on these configurations are used to formulate the stress power in the first law of thermodynamics which allows to simulate the material’s self-heating. To formulate the temperature dependency of the mechanical behaviour, the non-equilibrium part of the Helmholtz free energy function is formulated as a function of the temperature and the deformation history. With the introduced model, some FE calculations are carried out to show the model’s capability to represent the thermoviscoelastic behaviour including the coupling in both directions. © Springer-Verlag Berlin Heidelberg 2015 |
| abstractGer |
Abstract Especially in the automotive industries, elastomers take an important role. They are used in different types of bearings, where they inhibit vibration propagation and thereby significantly enhance driving performance and comfort. That is why several models have already been developed to simulate the material’s mechanical response to stresses and strains. In many cases, these models are developed under isothermal conditions. Others include the temperature-dependent mechanical behaviour to represent lower stiffness’s for higher temperatures. In this contribution it is shown by some exemplary experiments that viscoelastic material heats up under dynamic deformations. Hence, the material’s properties change due to the influence of the temperature without changing the surrounding conditions. With some of these experiments, it is shown that a fully coupled material model is necessary to predict the behaviour of bearings under dynamic loads. The focus of this contribution lies on the modelling of the thermoviscoelastic behaviour of elastomers. In a first step, a twofold multiplicative split of the deformation gradient is performed to be able to describe both mechanical and thermal deformations. This concept introduces different configurations. The stress tensors existing on these configurations are used to formulate the stress power in the first law of thermodynamics which allows to simulate the material’s self-heating. To formulate the temperature dependency of the mechanical behaviour, the non-equilibrium part of the Helmholtz free energy function is formulated as a function of the temperature and the deformation history. With the introduced model, some FE calculations are carried out to show the model’s capability to represent the thermoviscoelastic behaviour including the coupling in both directions. © Springer-Verlag Berlin Heidelberg 2015 |
| abstract_unstemmed |
Abstract Especially in the automotive industries, elastomers take an important role. They are used in different types of bearings, where they inhibit vibration propagation and thereby significantly enhance driving performance and comfort. That is why several models have already been developed to simulate the material’s mechanical response to stresses and strains. In many cases, these models are developed under isothermal conditions. Others include the temperature-dependent mechanical behaviour to represent lower stiffness’s for higher temperatures. In this contribution it is shown by some exemplary experiments that viscoelastic material heats up under dynamic deformations. Hence, the material’s properties change due to the influence of the temperature without changing the surrounding conditions. With some of these experiments, it is shown that a fully coupled material model is necessary to predict the behaviour of bearings under dynamic loads. The focus of this contribution lies on the modelling of the thermoviscoelastic behaviour of elastomers. In a first step, a twofold multiplicative split of the deformation gradient is performed to be able to describe both mechanical and thermal deformations. This concept introduces different configurations. The stress tensors existing on these configurations are used to formulate the stress power in the first law of thermodynamics which allows to simulate the material’s self-heating. To formulate the temperature dependency of the mechanical behaviour, the non-equilibrium part of the Helmholtz free energy function is formulated as a function of the temperature and the deformation history. With the introduced model, some FE calculations are carried out to show the model’s capability to represent the thermoviscoelastic behaviour including the coupling in both directions. © Springer-Verlag Berlin Heidelberg 2015 |
| collection_details |
GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_24 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4277 |
| container_issue |
4 |
| title_short |
Dissipative heating of elastomers: a new modelling approach based on finite and coupled thermomechanics |
| url |
https://doi.org/10.1007/s00161-015-0469-7 |
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false |
| author2 |
Dippel, Benedikt Lion, Alexander |
| author2Str |
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| doi_str |
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| up_date |
2024-07-03T19:58:08.287Z |
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