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Dissertation
Zum Einfluss der Wechselwirkung zwischen Schalmaterial, Trennmittel und Beton auf die Eigenschaften von Sichtbetonflächen
(2018)
Sichtbetonflächen unterliegen hohen Anforderungen an das Erscheinungsbild. So soll die Farbgebung gleichmäßig und die Oberfläche porenarm sein - dabei variieren die Anfor-derungen mit der geforderten Sichtbetonklasse. Dies erfordert ein hohes Maß an Können bei der Herstellung sowie dezidierte Kenntnisse über Leistungsfähigkeit und Wechselwirkungen der eingesetzten Materialien. Die Erfahrungen aus der Praxis zeigen jedoch, dass die gezielte und gleichmäßige Herstellung von Sichtbetonflächen schwierig ist. Ziel dieser ...
Aufsatz
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A unified and memory efficient framework for simulating mechanical behavior of carbon nanotubes
(2015-06-01)
Carbon nanotubes possess many interesting properties, which make them a promising material for a variety of applications. In this paper, we present a unified framework for the simulation of the mechanical behavior of carbon nanotubes. It allows the creation, simulation and visualization of these structures, extending previous work by the research group “MISMO” at TU Darmstadt. In particular, we develop and integrate a new matrix-free iterative solving procedure, employing the conjugate gradient method, that drastically ...
Aufsatz
Introducing the Logarithmic finite element method: a geometrically exact planar Bernoulli beam element
(2016-09-15)
We propose a novel finite element formulation that significantly reduces the number of degrees of freedom necessary to obtain reasonably accurate approximations of the low-frequency component of the deformation in boundary-value problems. In contrast to the standard Ritz–Galerkin approach, the shape functions are defined on a Lie algebra—the logarithmic space—of the deformation function. We construct a deformation function based on an interpolation of transformations at the nodes of the finite element. In the case ...
Konferenzveröffentlichung
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Beyond Ritz-Galerkin: Finite element approximations on a manifold in the configuration space [Abstract]
(Institute of Structural Analysis and Antiseismic Research, School of Civil Engineering, National Technical University of Athens (NTUA), 2016)
An extension of the Ritz-Galerkin method, based on finding approximations on a finite-dimensional manifold of functions (i.e., not a linear subspace) in the infinite-dimensional exact configuration space, will be presented. This new approach is particularly efficient in computing geometrically exact solutions for problems involving large rotations.
Dissertation
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Hydro-economic Modeling for Optimization of Sustainable Water Management of a River Basin in the Wake of Climate Change: Case Study of the Zarrine River Basin (ZRB), Iran
(2018-11)
Food and water security will be a great future challenge due to the growth of population and unsustainable water usage. The renewable water resources in the MENA region including Iran, are expected to decline. This situation is exacerbated by the increasing demands and the rising climate variability in the wake of global climate change affecting adversely the available water resources. This thesis research attempts to evaluate the impacts of climate change and water demands on the hydrological and environmental ...
Konferenzveröffentlichung
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Coupling atomistic models with continuous finite beam elements [Abstract]
(Institute of Structural Analysis and Antiseismic Research, School of Civil Engineering, National Technical University of Athens (NTUA), 2016)
Concurrent simulations of atomistic (discrete) and continuum models are one key to perform static calculations of large atomistic structures. Occurring ghost forces at the interfaces between discrete (atomistic) and continuous regions are a major challenge for the definition of such interfaces. The so called virtual projection method [1] is a class of force-based a/c schemes which reduce (or even avoid) ghost forces. This class of coupling schemes is able to deal with atomistic models consisting of bonded, multi-body ...
Aufsatz
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Coupled atomistic-continuum simulation of the mechanical properties of single-layered graphene sheets
(2019-11-18)
The purpose of this work is the multiscale modeling of a single-layered graphene sheet. The model is divided into three parts. One is an atomistic domain which is simulated with the atomic-scale finite element method (AFEM). Another is a continuum domain. In this domain, the mechanical properties are investigated by using a finite element based on a nonlocal continuum shell model with a high order strain gradient. To be exact, it is a 4-node 60-generalized degree of freedom (DOF) Mindlin–Reissner finite shell element ...
Konferenzveröffentlichung
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The logarithmic finite element method: Approximation on a manifold in the configuration space
(International Association for Computational IACM, 2018)
Aufsatz
Meshing highly regular structures: The case of super carbon nanotubes of arbitrary order
(2015)
Mesh generation is an important step inmany numerical methods.We present the “HierarchicalGraphMeshing” (HGM)method as a novel approach to mesh generation, based on algebraic graph theory.The HGM method can be used to systematically construct configurations exhibiting multiple hierarchies and complex symmetry characteristics. The hierarchical description of structures provided by the HGM method can be exploited to increase the efficiency of multiscale and multigrid methods. In this paper, the HGM method is employed ...