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Valiya Valappil, S. (author), Aragon, A.M. (author), Goosen, J.F.L. (author)Phononic crystal band gaps (BGs), which are realized by Bragg scattering, have a central frequency and width related to the unit cell's size and the impedance mismatch between material phases. BG tuning has generally been performed by either trial and error or by computational tools such as topology optimization. In either case, understanding...journal article 2023
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Li, Z. (author), Xu, M. (author), Norte, R.A. (author), Aragon, A.M. (author), van Keulen, A. (author), Alijani, F. (author), Steeneken, P.G. (author)In recent years, the Q-factor of Si 3 N 4 nanomechanical resonators has significantly been increased by soft-clamping techniques using large and complex support structures. To date, however, obtaining similar performance with smaller supports has remained a challenge. Here, we make use of torsion beam supports to tune the Q-factor of Si 3 N 4...journal article 2023
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Krushynska, Anastasiia O. (author), Torrent, Daniel (author), Aragon, A.M. (author), Ardito, Raffaele (author), Bilal, Osama R. (author), Bonello, Bernard (author), Bosia, Federico (author), Chen, Yi (author), Janbaz, Shahram (author), Mirzaali, Mohammad J. (author)This broad review summarizes recent advances and "hot"research topics in nanophononics and elastic, acoustic, and mechanical metamaterials based on results presented by the authors at the EUROMECH 610 Colloquium held on April 25-27, 2022 in Benicássim, Spain. The key goal of the colloquium was to highlight important developments in these...review 2023
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Valiya Valappil, S. (author), Krushynska, Anastasiia O. (author), Aragon, A.M. (author)The band-gap frequencies of elastic metamaterials are ideally determined by a metamaterial architecture; yet, in practical situations, are often dependent on the material damping in their constituent(s). The analysis of viscoelastic metamaterials requires however substantial computational resources and, except for oversimplified cases, is...journal article 2023
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Valiya Valappil, S. (author), Goosen, J.F.L. (author), Aragon, A.M. (author)Ultrasonic flowmeters that use transit-time ultrasonic transducers face measurement errors due to 'crosstalk,' whereby the working signal travels through the pipe wall and couplings, interfering with the signal from the fluid. Although various procedures have been proposed to solve the issue of crosstalk, they're limited to low-frequency...journal article 2023
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van den Boom, S.J. (author), Abedi, Reza (author), van Keulen, A. (author), Aragon, A.M. (author)Phononic crystals can be designed to show band gaps—ranges of frequencies whose propagation is strongly attenuated in the material. In essence, their working principle is based on destructive interference of waves reflecting from the periodic arrangement of material interfaces (i.e., Bragg scattering). Consequently, capturing accurately the...journal article 2023
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van den Boom, S.J. (author), Zhang, J. (author), van Keulen, A. (author), Aragon, A.M. (author)The published article contains a mistake in the notation of the strain–displacement matrix (Formula presented.) in Voigt notation concerning the isoparametric mapping and in the notation of the corresponding derivatives. As the mistakes relate only to the notation, and the implementation in the code was done correctly, they bear no...journal article 2023
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Zhang, J. (author), van Keulen, A. (author), Aragon, A.M. (author)We propose a fully immersed topology optimization procedure to design structures with tailored fracture resistance under linear elastic fracture mechanics assumptions for brittle materials. We use a level set function discretized by radial basis functions to represent the topology and the Interface-enriched Generalized Finite Element Method ...journal article 2022
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Zhang, J. (author), Aragon, A.M. (author)Stress analysis is an all-pervasive practice in engineering design. With displacement-based finite element analysis, directly-calculated stress fields are obtained in a post-processing step by computing the gradient of the displacement field—therefore less accurate. In enriched finite element analysis (EFEA), which provides unprecedented...journal article 2022
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Chandrashekar, A. (author), Givois, A.P.P. (author), Belardinelli, P. (author), Penning, Casper L. (author), Aragon, A.M. (author), Staufer, U. (author), Alijani, F. (author)Quantifying the nanomechanical properties of soft-matter using multi-frequency atomic force microscopy (AFM) is crucial for studying the performance of polymers, ultra-thin coatings, and biological systems. Such characterization processes often make use of cantilever's spectral components to discern nanomechanical properties within a multi...journal article 2022
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Zhang, J. (author), Zhebel, E.V. (author), van den Boom, S.J. (author), Liu, D. (author), Aragon, A.M. (author)In this work, an object-oriented geometric engine is proposed to solve problems with discontinuities, for instance, material interfaces and cracks, by means of unfitted, immersed, or enriched finite element methods (FEMs). Both explicit and implicit representations, such as geometric entities and level sets, are introduced to describe...journal article 2022
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Souto, Andre (author), Zhang, J. (author), Aragon, A.M. (author), Velikov, Krassimir P. (author), Coulais, Corentin (author)Metamaterials can display unusual and superior properties that come from their carefully designed structure rather than their composition. Metamaterials have permeated large swatches of science, including electromagnetics and mechanics. Although metamaterials hold the promise for realizing technological advances, their potential to enhance...journal article 2022
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Liu, D. (author), van den Boom, S.J. (author), Simone, A. (author), Aragon, A.M. (author)We propose an enriched finite element formulation to address the computational modeling of contact problems and the coupling of non-conforming discretizations in the small deformation setting. The displacement field is augmented by enriched terms that are associated with generalized degrees of freedom collocated along non-conforming...journal article 2022
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Azevedo Vasconcelos, A.C. (author), Schott, D.L. (author), Aragon, A.M. (author), Jovanova, J. (author)This paper discusses an elastic metamaterial for filtering energy from certain frequencies of an incoming wave. The unit cell, which is composed by a single material, is built to obtain a local resonance band gap. Since Bloch-Floquet's periodic condition is enforced to the unit cell, the dynamic characteristics of the metamaterial is obtained...conference paper 2021
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De Lazzari, Elena (author), van den Boom, S.J. (author), Zhang, J. (author), van Keulen, A. (author), Aragon, A.M. (author)Enriched finite element methods have gained traction in recent years for modeling problems with material interfaces and cracks. By means of enrichment functions that incorporate a priori behavior about the solution, these methods decouple the finite element (FE) discretization from the geometric configuration of such discontinuities. Taking...journal article 2021
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van den Boom, S.J. (author), van Keulen, A. (author), Aragon, A.M. (author)An immersed enriched finite element method is proposed for the analysis of phononic crystals (PnCs) with finite element (FE) meshes that are completely decoupled from geometry. Particularly, a technique is proposed to prescribe Bloch–Floquet periodic boundary conditions strongly on non-matching edges of the periodic unit cell (PUC). The...journal article 2021
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Aragon, A.M. (author), Liang, Bowen (author), Ahmadian, Hossein (author), Soghrati, Soheil (author)The Hierarchical Interface-enriched Finite Element Method (HIFEM) is a technique for solving problems containing discontinuities in the field gradient using finite element meshes that do not conform (match) the domain morphology. The method is suitable for analyzing problems with complex geometries or when such geometry is not known a priori....journal article 2020
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van den Boom, S.J. (author), Zhang, J. (author), van Keulen, A. (author), Aragon, A.M. (author)During design optimization, a smooth description of the geometry is important, especially for problems that are sensitive to the way interfaces are resolved, e.g., wave propagation or fluid-structure interaction. A level set description of the boundary, when combined with an enriched finite element formulation, offers a smoother description...journal article 2020
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van den Boom, S.J. (author), Zhang, J. (author), van Keulen, A. (author), Aragon, A.M. (author)Generating matching meshes for finite element analysis is not always a convenient choice, for instance, in cases where the location of the boundary is not known a priori or when the boundary has a complex shape. In such cases, enriched finite element methods can be used to describe the geometric features independently from the mesh. The...journal article 2019
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Mengolini, M. (author), Benedetto, Matías F. (author), Aragon, A.M. (author)In this manuscript we thoroughly study the behavior of the virtual element method (VEM) in the context of two-dimensional linear elasticity problems for an engineering audience versed in standard FEM. Through detailed convergence studies we show the accuracy and the convergence rates recovered by VEM, and we compare them to those obtained by...journal article 2019
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