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Multiphysically coupled modelling of polymer-based materials
Citation Link: https://doi.org/10.15480/882.1438
Publikationstyp
Doctoral Thesis
Date Issued
2017
Sprache
English
Author(s)
Advisor
Referee
Title Granting Institution
Technische Universität Hamburg-Harburg
Place of Title Granting Institution
Hamburg
Examination Date
2016-11-23
TORE-DOI
The multiphysically coupled modelling and numerical simulation of mass transport in polymeric materials is investigated. Coupled behaviour arises in these materials due to molecular interactions of the polymer chains with the transported particles or fluids. Due to these interactions, mass transport in polymers is often associated with large deformations and significant changes of the mechanical behaviour that, in turn, may lead to cracking and failure. On the other hand, this behaviour can be utilised deliberately, for example for microstructuring or in smart materials. Thus, a detailed understanding of the processes involved is necessary.
In this thesis, a model for multiphysically coupled mass transport in the framework of nonlinear continuum mechanics is developed. The governing equations describing two different example cases, namely, anomalous Case II diffusion and electroactive polymers, are derived from fundamental balance principles and equipped with suitable constitutive equations. For the description of Case II diffusion, a novel relation for the diffusion flux is developed that accounts for the delayed kinetics resulting from the molecular interactions and, thus, allows to describe the characteristic transport behaviour during Case II diffusion. To accurately model the processes occurring in composites of nanoporous metals filled with different types of electroactive polymers, the interface elasticity theory is extended to chemoelectromechanical coupling, yielding a framework that allows to describe deformation, electrostatics and charge carrier transport and their interactions in the bulk material and on the metal/polymer interface.
These models are subsequently implemented into a finite element code and numerical studies are carried out to elucidate the models’ capabilities and provide insight into the coupled nature of the investigated phenomena.
In this thesis, a model for multiphysically coupled mass transport in the framework of nonlinear continuum mechanics is developed. The governing equations describing two different example cases, namely, anomalous Case II diffusion and electroactive polymers, are derived from fundamental balance principles and equipped with suitable constitutive equations. For the description of Case II diffusion, a novel relation for the diffusion flux is developed that accounts for the delayed kinetics resulting from the molecular interactions and, thus, allows to describe the characteristic transport behaviour during Case II diffusion. To accurately model the processes occurring in composites of nanoporous metals filled with different types of electroactive polymers, the interface elasticity theory is extended to chemoelectromechanical coupling, yielding a framework that allows to describe deformation, electrostatics and charge carrier transport and their interactions in the bulk material and on the metal/polymer interface.
These models are subsequently implemented into a finite element code and numerical studies are carried out to elucidate the models’ capabilities and provide insight into the coupled nature of the investigated phenomena.
DDC Class
600: Technik
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