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    Item type:Publication, Access status: with files ,
    Multiscale investigations of mechanobiology: in vitro observations and computational modeling
    (2025)
    Paukner, Daniel
    ;
    Cyron, Christian J.
    Mechanobiology is an inherently multiscale field of study that explores the relationship between mechanical forces and biological processes at various levels, from molecular and cellular to tissue and organ levels. This work presents different aspects of this multiscale system, ranging from cell migration to mechanical testing of tissue equivalents to computational modeling of tissue adaptation. The results help identify key macroscopic quantities and (sub)cellular mechanisms essential in regulating biological processes on different length and time scales in response to mechanical perturbations.
    Publicationtype: Doctoral Thesis
      77  62
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    Item type:Publication, Access status: with files ,
    Peridynamic models in multi-physics applications on bounded and unbounded domains
    (2024)
    Hermann, Alexander
    ;
    Cyron, Christian J.
    The following dissertation concerns with elevating the role of nonlocal peridynamic continuum models in real-world engineering and material applications by establishing efficient and robust numerical techniques and providing comprehensive model descriptions that aim to accurately represent the underlying physical properties. A number of versatile numerical discretization schemes are thoroughly evaluated for both bond-based peridynamic models in brittle fracture modeling as well as nonlocal diffusion-type models for up to three-dimensional problems. These schemes can adaptively refine the computational grid around areas of interest, are asymptotically compatible, computationally efficient, and easy to implement. Efficient solution schemes are further provided for unbounded domain problems, based on residual-free exponential basis functions, which may be used in a collocation scheme to obtain Dirichlet-type boundary conditions to approximate the far-field domain solution over a truncating boundary. The feasibility and improved capability of the proposed numerical schemes are demonstrated on the complex multi-physics simulation of the biodegradation of magnesium-based bone implant screws under physiological conditions on (nearly) unbounded three-dimensional domains, utilizing the standard bi-material peridynamic corrosion model with an efficient constitutive model of the corrosion kinetics that directly links to the experimentally easy-to-measure macroscopic volume loss. In order to augment the capabilities of standard peridynamic models towards the description of multi-ionic mass transport of electromigration, a generalized peridynamic framework of nonlocal Nernst-Planck-Poisson equations is proposed, which effectively models the diffusion-electromigration-reaction and moving boundary problems of corrosion models with arbitrary constitutive corrosion kinetics.
    Publicationtype: Doctoral Thesis
      133  111