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See detailModel order reduction applied to ALE‐fluid dynamics
Baroli, Davide UL; Zilian, Andreas UL

in Proceedings in Applied Mathematics and Mechanics (2019)

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See detailA model order reduction approach to construct efficient and reliable virtual charts in computational homogenisation
Kerfriden, Pierre; Goury, Olivier; Khac Chi, Hoang et al

in Proceedings of the 17th U.S. National Congress on Theoretical and Applied Mechanics (2014, June 15)

Computational homogenisation is a widely spread technique to calculate the overall properties of a composite material from the knowledge of the constitutive laws of its microscopic constituents [1, 2 ... [more ▼]

Computational homogenisation is a widely spread technique to calculate the overall properties of a composite material from the knowledge of the constitutive laws of its microscopic constituents [1, 2]. Indeed, it relies on fewer assumptions than analytical or semi-analytical homogenisation approaches and can be used to coarse-grain a large range of micro-mechanical models. However, this accuracy comes at large computational costs, which prevents computational homogenisation from being used routinely in optimisation, even in the context of linear elastic materials. Indeed, a unit cell problem has to be solved for each microscopic distribution of interest in order to obtain the corresponding homogenised material constants. In the context of nonlinear, time-dependant problem, the computational effort becomes even greater as computational homogenisation requires solving for the time-evolution of the microstructure at every point of the macroscopic domain. In this paper, we propose to address these two issues within the unified framework of projection-based model order reduction (see for instance [3, 4, 5, 6]). The smoothness of the solution of the unit cell problem with respect to parameter or time variations is used to create a reduced order model with very few degrees of freedom, hence reducing the computational burden by orders of magnitude. [1] Tarek J. Zohdi and Peter Wriggers. Introduction to Computational Micromechanics, volume 20 of lecture notes in applied and computational mechanics. Springer, 2005. [2] M.G.D. Geers, V.G. Kouznetsova, and W.A.M. Brekelmans. Multi-scale computational homogenization: Trends and challenges. J. Computational Applied Mathematics, 234(7):2175–2182, 2010. [3] D.B.P. Huynh G. Rozza and A.T. Patera. Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations: Application to transport and continuum mechanics. Archives of Computational Methods in Engineering, 15(3):229–275, 2008. [4] D. Amsallem and C. Farhat. An Interpolation Method for Adapting Reduced-Order Models and Application to Aeroelasticity. AIAA Journal, 46(7):1803–1813, 2008. [5] P. Kerfriden, P. Gosselet, S. Adhikari, and S.P.-A. Bordas. Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: an adaptive model order reduction for highly nonlinear mechanical problems. Computer Methods in Applied Mechanics and Engineering, 200(5- 8):850–866, 2011. [6] P. Kerfriden, J.-C. Passieux, and S.P.-A. Bordas. Local/global model order reduction strategy for the simulation of quasi-brittle fracture. International Journal for Numerical Methods in Engineering, 89(2):154–179, 2011. [7] M. Barrault, Y. Maday, N.C. Nguyen, and A.T. Patera. An ’empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations. Comptes Rendus de Math´ematiques, 339(9):667–672, 2004. [less ▲]

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See detailModellierung und Validierung von Simulationsansätzen für die aussenliegende Lufttemperierung
Schmidt, Christoph Wilhelm; Scholzen, Frank UL; Maas, Stefan UL et al

in Tagungsband BauSim 2018 (2018, September)

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See detailModelling and analysis of flow-driven energy harvesting devices and associated reduced order models
Zilian, Andreas UL; Baroli, Davide UL

Scientific Conference (2018, June)

A specific class of energy harvester devices for renewable energy resources allows conversion of ambient fluid flow energy to electrical energy via flow-induced vibrations of a piezo-ceramic composite ... [more ▼]

A specific class of energy harvester devices for renewable energy resources allows conversion of ambient fluid flow energy to electrical energy via flow-induced vibrations of a piezo-ceramic composite structure positioned in the flow field. This energy converter technology simultaneously involves the interaction of a composite structure and a surrounding fluid, the electric charge accumulated in the piezo-ceramic material and a controlling electrical circuit. In order to predict the efficiency and operational properties of such future devices and to increase their robustness and performance, a mathematical and numerical model of the complex physical system is required to allow systematic computational investigation of the involved phenomena and coupling characteristics. The presentation will discuss a monolithic modelling approach that allows simultaneous analysis of the harvester, which involves surface-coupled fluid-structure interaction, volume-coupled electro-mechanics and a controlling energy harvesting circuit. Based on a finite element discretisation of the weighted residual form of the governing equations, time- and frequency-domain analysis enables investigation of different types of structures (plate, shells) subject to exterior/interior flow with varying parameters, and attached electrical circuits with respect to the electrical power output generated. Consequently, options for parametric reduced-order modelling of flow-driven energy harvesters will be discussed. [less ▲]

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See detailModelling Complex Systems: a primer - agent-based models, equation-based models, statistical models and Bayesian inference, digital twins
Bordas, Stéphane UL

Learning material (2019)

Modelling Complex Systems: a primer - agent-based models, equation-based models, statistical models and Bayesian inference, digital twins

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See detailModelling hydraulic fractures in porous media using flow cohesive interface elements
Nguyen, Vinh Phu; Lian, Haojie; Rabczuk, Timon et al

in Engineering Geology (2017), 225

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See detailModelling interfacial cracking with non-matching cohesive interface elements
Nguyen, Viet Ha UL; Nguyen, Chi Thanh; Bordas, Stéphane UL et al

in Computational Mechanics (2016), 58(5), 731-746

Interfacial cracking occurs in many engineering problems such as delamination in composite laminates, matrix/interface debonding in fibre reinforced composites etc. Computational modelling of these ... [more ▼]

Interfacial cracking occurs in many engineering problems such as delamination in composite laminates, matrix/interface debonding in fibre reinforced composites etc. Computational modelling of these interfacial cracks usually employs compatible or matching cohesive interface elements. In this paper, incompatible or non-matching cohesive interface elements are proposed for interfacial fracture mechanics problems. They allow non-matching finite element discretisations of the opposite crack faces thus lifting the constraint on the compatible discretisation of the domains sharing the interface. The formulation is based on a discontinuous Galerkin method and works with both initially elastic and rigid cohesive laws. The proposed formulation has the following advantages compared to classical interface elements: (i) non-matching discretisations of the domains and (ii) no high dummy stiffness. Two and three dimensional quasi-static fracture simulations are conducted to demonstrate the method. Our method not only simplifies the meshing process but also it requires less computational demands, compared with standard interface elements, for problems that involve materials/solids having a large mismatch in stiffnesses. [less ▲]

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See detailModelling of Fluid-Structure Interaction – Effects of Added Mass, Damping and Stiffness
Zilian, Andreas UL

in Irschik, Hans; Belyaev, Alexander K. (Eds.) Dynamics of Mechanical Systems with Variable Mass (2014)

Fluid-flow around mechanical structures can sometimes lead to catastrophic failures. Improved modelling of fluid/structure interaction is required for safety and mechanical considerations. In this ... [more ▼]

Fluid-flow around mechanical structures can sometimes lead to catastrophic failures. Improved modelling of fluid/structure interaction is required for safety and mechanical considerations. In this contribution, concepts for modelling the interaction of structures and fluids are presented. Starting from excitation mechanisms and associated classifications, various model depth approaches are compared. Among them, the use of added coefficients for quasi-steady problems is discussed. On the basis of potential flow theory, different approaches for determining fluid-induced additional mass are established and illustrated using an analytical example. Given the limitations of simplifying the engineering models, the second part of the paper provides a brief overview on computational methods for fluid-structure interaction and presents a monolithic modelling approach using space-time finite elements for discretisation of both fluid and structure. Applications from aero- and hydro-elasticity show the applicability of computational methods for problems involving flow-induced added mass, damping, and stiffness. [less ▲]

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See detailModelling of ultrasound therapeutic heating and numerical study of the dynamics of the induced heat shock response
Mizera, Andrzej UL; Gambin, Barbara

in Communications in Nonlinear Science & Numerical Simulation (2011), 16(5), 23422349

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See detailModelling Thermochemical Processes in Granular Media
Hoffmann, Florian UL

Presentation (2012, October 26)

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See detailModels and Technologies for Intelligent Transportation Systems: new challenges and metaheuristic solutions for large-scale network applications
Viti, Francesco UL; Tampere, Chris M.J.

in Journal of Intelligent Transportation Systems (2014), 18(1), 1-4

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See detailLes modes opéatoires de la cryptographie symétrique
Schiltz, Jang UL

Report (2003)

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See detailModification of the Shear-Slip Mesh Update Method with Respect to Space-Time Finite Element Discretisation of Fluid Flows
Schippke, Henning; Zilian, Andreas UL

Scientific Conference (2012, April 27)

Space-time discretisations of physical problems involving moving and deforming bodies, boundaries and interfaces have been shown to offer advantageous properties while being methodologically uniform and ... [more ▼]

Space-time discretisations of physical problems involving moving and deforming bodies, boundaries and interfaces have been shown to offer advantageous properties while being methodologically uniform and flexible. Well-known phenomena which are ideally suited to be analysed by space-time methods, are fluid-structure interaction problems in general as well as fluid flows with subdomain phase boundaries or immersed moving objects. In this contribution a short overview of existing mesh- moving techniques is given within the framework of finite element discretisations of the incompressible Navier-Stokes equations in space and time. The investigation is based on a SUPG/PSPG velocity-pressure formulation on the deforming space-time domain. A modification of the shear-slip mesh update method in the framework of space-time finite element discretisation is presented leading to a continuous space-time mesh in the shear-slip layer. The modified mesh moving technique is applied to engineering problems with rotating space-time fluid meshes. Its conservation properties and its quality regarding the approximated solutions on moving and deforming meshes are investigated. [less ▲]

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See detailMöglichkeiten und Grenzen generischer Ansätze als Beitrag zur Steigerung der Robustheit von Produktentwicklungsprojekten
Gericke, Kilian UL; Schmidt-Kretschmer, Michael; Blessing, Lucienne UL

in Proceedings of 18th Symposium Design for X (2007)

Zur Darstellung des theoretischen Rahmens dieser Arbeit werden ein Modell zur Visualisierung der Vernetzung von Einflussfaktoren auf den Projekterfolg aus den Domänen Projekt-Management, Produkt und ... [more ▼]

Zur Darstellung des theoretischen Rahmens dieser Arbeit werden ein Modell zur Visualisierung der Vernetzung von Einflussfaktoren auf den Projekterfolg aus den Domänen Projekt-Management, Produkt und Stakeholder und ein Verbesserungsprozess zur Steigerung der Robustheit von Produktentwicklungsprojekten vorgestellt. Vor diesem Hintergrund werden die Grenzen aber auch die Möglichkeiten generischer Lösungsansätze diskutiert. Anhand einer Fallstudie wird untersucht welche Barrieren die Durchführung des Verbesserungsprozesses und somit auch die Anwendung der Lösungsansätze in der Praxis erschweren. Die Analysen zeigen, dass die Kenntnis der Ursachen von Problemen, die zu Planungsabweichungen in Produktenwicklungsprojekten führen, und eine entsprechende Anpassung der Handlungsempfehlungen Voraussetzungen zur Implementierung daraus abgeleiteter Maßnahmen sind. Die domänenübergreifende Betrachtung möglicher Einflussfaktoren gemäß dem Konzept der Robustheit führt während der Ursachenanalyse zu einem fundierten Verständnis der Problemlage und ermöglicht eine bessere Anpassung der Lösungsansätze. Aus den theoretischen Vorüberlegungen und den Ergebnissen der Fallstudie werden Anforderungen an die Weiterentwicklung des Ansatzes zur Steigerung der Robustheit von Produktentwicklungsprojekten abgeleitet, der die Anwender unterstützen soll, den Transfer empirischer Erkenntnisse und Handlungsempfehlungen auf individuelle Problemstellungen zu vollziehen. [less ▲]

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See detailMolecular dynamics/xfem coupling by a three-dimensional extended bridging domain with applications to dynamic brittle fracture
Talebi, H.; Silani, M.; Bordas, Stéphane UL et al

in International Journal for Multiscale Computational Engineering (2013), 11(6), 527-541

We propose a method to couple a three-dimensional continuum domain to a molecular dynamics domain to simulate propagating cracks in dynamics. The continuum domain is treated by an extended finite element ... [more ▼]

We propose a method to couple a three-dimensional continuum domain to a molecular dynamics domain to simulate propagating cracks in dynamics. The continuum domain is treated by an extended finite element method to handle the discontinuities. The coupling is based on the bridging domain method, which blends the continuum and atomistic energies. The Lennard-Jones potential is used to model the interactions in the atomistic domain, and the Cauchy-Born rule is used to compute the material behavior in the continuum domain. To our knowledge, it is the first time that a three dimensional extended bridging domain method is reported. To show the suitability of the proposed method, a threedimensional crack problem with an atomistic region around the crack front is solved. The results show that the method is capable of handling crack propagation and dislocation nucleation. © 2013 by Begell House, Inc. [less ▲]

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See detailMonolithic modeling and finite element analysis of piezoelectric energy harvesters
Ravi, Srivathsan UL; Zilian, Andreas UL

in Acta Mechanica (2017), 228(6), 2251-2267

This paper is devoted to monolithic modeling of piezoelectric energy harvesting devices. From a modeling perspective, piezoelectric energy harvesting is a strongly coupled phenomenon with two-way coupling ... [more ▼]

This paper is devoted to monolithic modeling of piezoelectric energy harvesting devices. From a modeling perspective, piezoelectric energy harvesting is a strongly coupled phenomenon with two-way coupling between the electromechanical effect of the piezoelectric material and the harvesting circuit. Even in applications related to shunt damping, where the attached electrical circuit is passive, accurate modeling of the strong coupling is crucial for proper evaluation of the relevant parameters. The article proposes a monolithic mixed-hybrid finite element formulation for the predictive modeling and simulation of piezoelectric energy harvesting devices. The governing equations of the coupled electromechanical problem are converted into a single integral form with six independent unknown fields. Such a holistic approach provides consistent solution to the coupled field equations which involve structural dynamics, electromechanical effect of the piezoelectric patches and the dynamics of the attached harvesting circuit. This allows accurate computation of the eigenvalues and corresponding mode shapes of a harvester for any finite resistive load coupled to the harvester. The fully three-dimensional mixed-hybrid formulation is capable of analyzing structures with non-uniform geometry and varying material properties. The results of the finite element model are verified against the analytical results of a bimorph harvester with tip mass reported in the literature. [less ▲]

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See detailMonostability and multistability of genetic regulatory networks with different types of regulation functions
Pan, Wei UL; Wang, Z; Gao, H. et al

in Nonlinear Analysis : Real World Applications (2010), 11(4), 31703185

Monostability and multistability are proven to be two important topics in synthesis biology and system biology. In this paper, both monostability and multistability are analyzed in a unified framework by ... [more ▼]

Monostability and multistability are proven to be two important topics in synthesis biology and system biology. In this paper, both monostability and multistability are analyzed in a unified framework by applying control theory and mathematical tools. The genetic regulatory networks (GRNs) with multiple time-varying delays and different types of regulation functions are considered. By putting forward a general sector-like regulation function and utilizing up-to-date techniques, a novel Lyapunov–Krasovskii functional is introduced for achieving delay dependence to ensure less conservatism. A new condition is then proposed for the general stability of a GRN in the form of linear matrix inequalities (LMIs) that are dependent on the upper and lower bounds of the delays. Our general stability conditions are applicable to several frequently used regulation functions. It is shown that the existing results for monostability of GRNs are special cases of our main results. Five examples are employed to illustrate the applicability and usefulness of the developed theoretical results. [less ▲]

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See detailMorphological traits essential to electrospun and grafted Nylon-6 nanofiber membranes for capturing submicron simulated exhaled breath aerosols
Reyes, Catherine UL; Frey, Margaret

in Journal of Applied Polymer Science (2017), 134(17), 1-15

As contagious bio-aerosols continue to impact our society, we examine how the morphological traits of large-scale (15 cm x 93 cm), uniformly thick, electrospun Nylon membranes can contribute to the ... [more ▼]

As contagious bio-aerosols continue to impact our society, we examine how the morphological traits of large-scale (15 cm x 93 cm), uniformly thick, electrospun Nylon membranes can contribute to the development of diagnostic, sensor driven face masks for capturing exhaled breath content. In our study, we compare the capture efficiencies of three types of large-scale Nylon-6 nanofiber membranes against those of commercial control textiles for capturing in-lab simulated salt breath aerosols. One of the electrospun membranes was also surface functionalized via grafting technique. The fabrication, functionalization, and exhaled aerosol capture of these large-scale membranes underscores the importance of assessing the lifetime, and usability, of electrospun materials before future integration with diagnostic sensing platforms can be successfully achieved. [less ▲]

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