Kron reduction of graphs with applications to electrical networks

F Dorfler, F Bullo - IEEE Transactions on Circuits and Systems I …, 2012 - ieeexplore.ieee.org
Consider a weighted undirected graph and its corresponding Laplacian matrix, possibly
augmented with additional diagonal elements corresponding to self-loops. The Kron …

Electrical networks and algebraic graph theory: Models, properties, and applications

F Dörfler, JW Simpson-Porco… - Proceedings of the IEEE, 2018 - ieeexplore.ieee.org
Algebraic graph theory is a cornerstone in the study of electrical networks ranging from
miniature integrated circuits to continental-scale power systems. Conversely, many …

Tunneling resistance and its effect on the electrical conductivity of carbon nanotube nanocomposites

WS Bao, SA Meguid, ZH Zhu, GJ Weng - Journal of Applied Physics, 2012 - pubs.aip.org
In this paper, we examined the effect of electron tunneling upon the electrical conductivity of
carbon nanotube (CNT) polymer nanocomposites. A CNT percolating network model was …

Carbon nanotube agglomeration effect on piezoresistivity of polymer nanocomposites

S Gong, ZH Zhu, SA Meguid - Polymer, 2014 - Elsevier
Carbon nanotube (CNT) agglomeration exists inevitably in all CNT-polymer composites.
This paper quantified the effect of CNT agglomeration on the piezoresistivity of CNT-polymer …

The effect of nanoparticle conglomeration on the overall conductivity of nanocomposites

M Haghgoo, R Ansari… - International Journal of …, 2020 - Elsevier
This study provides a multi-step analytical model to investigate the synergistic effects of
carbon black nanoparticles and micro-scale carbon fibers on the electrical conductivity of the …

Modeling electrical conductivities of nanocomposites with aligned carbon nanotubes

WS Bao, SA Meguid, ZH Zhu, MJ Meguid - Nanotechnology, 2011 - iopscience.iop.org
We have developed an improved three-dimensional (3D) percolation model to investigate
the effect of the alignment of carbon nanotubes (CNTs) on the electrical conductivity of …

A novel approach to predict the electrical conductivity of multifunctional nanocomposites

WS Bao, SA Meguid, ZH Zhu, Y Pan, GJ Weng - Mechanics of Materials, 2012 - Elsevier
In this paper, we investigate the effect of uniformly dispersed, aligned and agglomerated
carbon nanotubes (CNTs) upon the electrical conductivity of multifunctional …

Effects of geometry, spacing, and number of pin fins in additively manufactured microchannel pin fin arrays

KK Ferster, KL Kirsch, KA Thole - Journal of …, 2018 - asmedigitalcollection.asme.org
The demand for higher efficiency is ever present in the gas turbine field and can be
achieved through many different approaches. While additively manufactured parts have only …

Modeling electrical conductivity of nanocomposites by considering carbon nanotube deformation at nanotube junctions

S Gong, ZH Zhu, EI Haddad - Journal of Applied Physics, 2013 - pubs.aip.org
This paper investigates the effect of carbon nanotube (CNT) deformation on the electrical
conductivity of CNT polymer composites at crossed nanotube junctions using a revised 3 …

Natural preconditioning and iterative methods for saddle point systems

J Pestana, AJ Wathen - siam REVIEW, 2015 - SIAM
The solution of quadratic or locally quadratic extremum problems subject to linear (ized)
constraints gives rise to linear systems in saddle point form. This is true whether in the …