Relevant bibliographies by topics / Continuous or discrete homogenization

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Continuous or discrete homogenization'

Author: Grafiati
Published: 8 June 2024
Last updated: 31 July 2025

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Journal articles on the topic "Continuous or discrete homogenization"

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Gottwald, Georg A., and Ian Melbourne. "Homogenization for deterministic maps and multiplicative noise." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469, no. 2156 (2013): 20130201. http://dx.doi.org/10.1098/rspa.2013.0201.

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A recent paper of Melbourne & Stuart (2011 A note on diffusion limits of chaotic skew product flows. Nonlinearity 24 , 1361–1367 (doi:10.1088/0951-7715/24/4/018)) gives a rigorous proof of convergence of a fast–slow deterministic system to a stochastic differential equation with additive noise. In contrast to other approaches, the assumptions on the fast flow are very mild. In this paper, we extend this result from continuous time to discrete time. Moreover, we show how to deal with one-dimensional multiplicative noise. This raises the issue of how to interpret certain stochastic integrals
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Rasskazov, S. V., T. A. Yasnygina, I. S. Chuvashova, et al. "Pb-isotope Systematics of Bitumens, Kerogens, and Oils: from Isochronous and Discrete Sources to Extended Trends of Global Components." Geology and Environment 4, no. 4 (2024): 165–99. https://doi.org/10.26516/2541-9641.2024.4.165.

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The paper presents a review of Pb isotope data on bitumens, kerogens, and oils. The diagrams of Pb isotopes distinguish isochron families, discrete clusters, and continuous extended trends of data points. Arguments are given in favor of Pb isotopic homogenization with the output of isochron Pb–Pb dating under hydrothermal conditions during lead separation from uranium into ore minerals simultaneously with the enrichment of bitumen with uranium. From families of data points of oils and kerogen, the Pb isotope diagrams reveal discreteness of source components that have not undergone general Pb i
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Nassar, H., A. Lebée, and L. Monasse. "Curvature, metric and parametrization of origami tessellations: theory and application to the eggbox pattern." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2197 (2017): 20160705. http://dx.doi.org/10.1098/rspa.2016.0705.

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Origami tessellations are particular textured morphing shell structures. Their unique folding and unfolding mechanisms on a local scale aggregate and bring on large changes in shape, curvature and elongation on a global scale. The existence of these global deformation modes allows for origami tessellations to fit non-trivial surfaces thus inspiring applications across a wide range of domains including structural engineering, architectural design and aerospace engineering. The present paper suggests a homogenization-type two-scale asymptotic method which, combined with standard tools from diffe
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Wei, Nan, Hongling Ye, Xing Zhang, Jicheng Li, and Boshuai Yuan. "Vibration Characteristics Research of Sandwich Structure with Octet-truss Lattice Core." Journal of Physics: Conference Series 2125, no. 1 (2021): 012059. http://dx.doi.org/10.1088/1742-6596/2125/1/012059.

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Abstract Lattice sandwich beams are often subjected to vibrations when they are used. The aim of this study was to explore the vibration characteristics of the octet-truss lattice core sandwich beam by translating discrete octet-truss core to the continuous homogenization material. The natural frequencies of which are obtained by theoretical calculation and numerical simulation. The theoretical solutions are in good agreement with the numerical results. It demonstrates that the theoretical approach is effective to compute the natural frequency. Furthermore, the influences of truss member radiu
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Zona, Renato, and Vincenzo Minutolo. "Elastic to Plastic Lattice Structure Homogenization via Finite Element Limit Analysis." Symmetry 17, no. 7 (2025): 1120. https://doi.org/10.3390/sym17071120.

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This work focuses on characterizing structured metamaterials by assessing their elastic law and ultimate strength using finite elements and limit analysis applied to a representative volume element. The elastic and plastic behavior of a reference geometry—the octet truss lattice—is obtained by calculating the response of the representative volume element subjected to prescribed tensor strain bases, namely pure normal strain and pure shear, along the cube symmetry directions. The geometry of the body centered cubic and pure cubic phases of the representative volume element has been analyzed, hi
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Gomes, Diogo A., and Xianjin Yang. "The Hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measures." ESAIM: Mathematical Modelling and Numerical Analysis 54, no. 6 (2020): 1883–915. http://dx.doi.org/10.1051/m2an/2020036.

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Effective Hamiltonians arise in several problems, including homogenization of Hamilton–Jacobi equations, nonlinear control systems, Hamiltonian dynamics, and Aubry–Mather theory. In Aubry–Mather theory, related objects, Mather measures, are also of great importance. Here, we combine ideas from mean-field games with the Hessian Riemannian flow to compute effective Hamiltonians and Mather measures simultaneously. We prove the convergence of the Hessian Riemannian flow in the continuous setting. For the discrete case, we give both the existence and the convergence of the Hessian Riemannian flow.
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Rallu, Antoine, and Claude Boutin. "Modal Analysis of a Multi-Supported Beam: Macroscopic Models and Boundary Conditions." Mathematics 12, no. 12 (2024): 1844. http://dx.doi.org/10.3390/math12121844.

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This paper deals with the long-wavelength behaviour of a Euler beam periodically supported by co-located rotation and compression springs. An asymptotic homogenization method is applied to derive the several macroscopic models according to the stiffness contrasts between the elastic supports and the beam. Effective models of differential order two or four are obtained, which can be merged into a single unified model whose dispersion relations at long and medium wavelengths fit those derived by Floquet-Bloch. Moreover, the essential role of rotation supports is clearly evidenced. A mixed "discr
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Josnin, Jean-Yves, Séverin Pistre, and Claude Drogue. "Modélisation d'un système karstique complexe (bassin de St-Chaptes, Gard, France) : un outil de synthèse des données géologiques et hydrogéologiques." Canadian Journal of Earth Sciences 37, no. 10 (2000): 1425–45. http://dx.doi.org/10.1139/e00-056.

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Numerous software packages allow the efficient modeling of the hydrodynamic behaviour of aquifers in continuous media. To study pressure transfer in discontinuous media like karsts, the black-box models are restrictive and the models that consider discrete conduit networks are unsuitable for reservoir scale. We show that the utilization of a continuous media model can lead to useful results, even in the case of complex systems, but needs to be adapted to karst specificity. The problem is approached by studying a hydrogeological system located in the Mediterranean Languedoc region: the St-Chapt
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Forest, Samuel, David McDowell, Stefan Müller, and Ewald Werner. "Mechanics of Materials: Multiscale Design of Advanced Materials and Structures." Oberwolfach Reports 21, no. 1 (2024): 657–730. http://dx.doi.org/10.4171/owr/2024/11.

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Materials can now be designed and architectured like structural components for targeted mechanical and physical properties. Structures and microstructures should not be studied independently and their design will benefit from a multiscale approach combining nonlinear continuum mechanics approaches and physical descriptions of elasticity, viscoplasticity, phase transformations and damage of microstructures, at various scales. The aim of the workshop was to gather outstanding junior and senior researchers in the various branches of mathematics, physics and engineering sciences suited to address
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Amaro-Mellado, José Lázaro, and Dieu Tien Bui. "GIS-Based Mapping of Seismic Parameters for the Pyrenees." ISPRS International Journal of Geo-Information 9, no. 7 (2020): 452. http://dx.doi.org/10.3390/ijgi9070452.

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In the present paper, three of the main seismic parameters, maximum magnitude -Mmax, b-value, and annual rate -AR, have been studied for the Pyrenees range in southwest Europe by a Geographic Information System (GIS). The main aim of this work is to calculate, represent continuously, and analyze some of the most crucial seismic indicators for this belt. To this end, an updated and homogenized Poissonian earthquake catalog has been generated, where the National Geographic Institute of Spain earthquake catalog has been considered as a starting point. Herein, the details about the catalog compila
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Dissertations / Theses on the topic "Continuous or discrete homogenization"

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Rizzi, Gianluca. "Strain-gradient effects in the discrete/continuum transition via homogenization." Doctoral thesis, Università degli studi di Trento, 2019. https://hdl.handle.net/11572/369095.

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A second-gradient elastic material has been identified as the equivalent homogeneous material of an hexagonal lattice made up of three different orders of linear elastic bars (hinged at each junction). In particular, the material equivalent to the lattice exhibits: (i.) non-locality, (ii.) non-centrosymmetry, and (iii.) anisotropy (even if the hexagonal geometry leads to isotropy at first-order). A Cauchy elastic equivalent solid is only recovered in the limit of vanishing length of the lattice’s bars. The identification of the second-gradient elastic material is complemented by analyses of
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Rizzi, Gianluca. "Strain-gradient effects in the discrete/continuum transition via homogenization." Doctoral thesis, University of Trento, 2019. http://eprints-phd.biblio.unitn.it/3552/1/Rizzi_Gianluca_PhD_thesis.pdf.

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A second-gradient elastic material has been identified as the equivalent homogeneous material of an hexagonal lattice made up of three different orders of linear elastic bars (hinged at each junction). In particular, the material equivalent to the lattice exhibits: (i.) non-locality, (ii.) non-centrosymmetry, and (iii.) anisotropy (even if the hexagonal geometry leads to isotropy at first-order). A Cauchy elastic equivalent solid is only recovered in the limit of vanishing length of the lattice’s bars. The identification of the second-gradient elastic material is complemented by analyses of po
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Lauerbach, Laura [Verfasser], Anja [Gutachter] Schlömerkemper, and Martin [Gutachter] Kruzik. "Stochastic Homogenization in the Passage from Discrete to Continuous Systems - Fracture in Composite Materials / Laura Lauerbach ; Gutachter: Anja Schlömerkemper, Martin Kruzik." Würzburg : Universität Würzburg, 2020. http://d-nb.info/1220634239/34.

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Ruf, Matthias [Verfasser], Marco [Akademischer Betreuer] [Gutachter] Cicalese, Antoine [Gutachter] Gloria, and Andrea [Gutachter] Braides. "Discrete-to-continuum limits and stochastic homogenization of ferromagnetic surface energies / Matthias Ruf ; Gutachter: Antoine Gloria, Marco Cicalese, Andrea Braides ; Betreuer: Marco Cicalese." München : Universitätsbibliothek der TU München, 2017. http://d-nb.info/1137323493/34.

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Alavi, Seyed Ehsan. "Homogénéisation de milieux architecturés périodiques et quasi-périodiques vers des milieux continus généralisés." Electronic Thesis or Diss., Université de Lorraine, 2021. http://www.theses.fr/2021LORR0305.

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Cette thèse vise à revisiter les schémas d'homogénéisation d'ordre supérieur vers des continuums d'ordre ou de gradient supérieurs, successivement pour les matériaux et composites architecturés périodiques et quasi-périodiques, en se basant sur des principes variationnels et une extension de la condition de macrohomogénéité de Hill. Les méthodes d'homogénéisation continue sont exposées dans la première partie pour les milieux micropolaires et micromorphes, suivies par une présentation de l’homogénéisation discrète, alternative de l’homogénéisation continue.Nous avons étendu ces développements
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Baird, Graham. "Mixed discrete-continuous fragmentation equations." Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:311da0da-6801-4120-9129-d95786a153b6.

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The work contained in this thesis concerns the development, and the mathematical and numerical analysis, of a new class of hybrid discrete-continuous fragmentation model. The framework is introduced as a potential answer to the occurrence of 'shattering' mass loss, commonly observed in purely continuous fragmentation models. Initially, the study begins by introducing the model, which takes the form of an integro-differential equation, coupled with a system of ordinary differential equations. Once the model has been established, it is subjected to a rigorous mathematical analysis, using the the
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Ye, Yang. "Gradient effects in discrete elastic networks captured by asymptotic homogenization." Electronic Thesis or Diss., Institut polytechnique de Paris, 2025. http://www.theses.fr/2025IPPAX033.

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Les structures architecturées gagnent en popularité dans un large éventail d'applications en ingénierie en raison de leurs propriétés mécaniques exotiques, telles que leur légèreté, leur grande résistance, leur capacité de transmission des ondes et leurs caractéristiques d'absorption des chocs. Leur comportement mécanique unique peut être finement ajusté en modifiant leur topologie. Les récents progrès de la fabrication additive ont rendu possible la production de structures architecturées à base de treillis avec des microstructures précisément conçues et personnalisables. Une approche directe
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Silva, Pedro André Arroyo. "Modelo matemático com parâmetros que dependem da discretização: aplicação ao estudo de fenômenos de propagação discreta em meios excitáveis." Universidade Federal de Juiz de Fora (UFJF), 2018. https://repositorio.ufjf.br/jspui/handle/ufjf/7194.

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Submitted by Renata Lopes (renatasil82@gmail.com) on 2018-07-26T12:29:23Z No. of bitstreams: 1 pedroandrearroyosilva.pdf: 4154699 bytes, checksum: 1875b7d54dd015591fcdd55db287ee37 (MD5)<br>Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2018-09-03T16:20:02Z (GMT) No. of bitstreams: 1 pedroandrearroyosilva.pdf: 4154699 bytes, checksum: 1875b7d54dd015591fcdd55db287ee37 (MD5)<br>Made available in DSpace on 2018-09-03T16:20:02Z (GMT). No. of bitstreams: 1 pedroandrearroyosilva.pdf: 4154699 bytes, checksum: 1875b7d54dd015591fcdd55db287ee37 (MD5) Previous issu
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ElNady, Khaled. "Modèles de comportement non linéaire des matériaux architecturés par des méthodes d'homogénéisation discrètes en grandes déformations. Application à des biomembranes et des textiles." Thesis, Université de Lorraine, 2015. http://www.theses.fr/2015LORR0032/document.

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Ce travail porte sur le développement de modèles micromécaniques pour le calcul de la réponse homogénéisée de matériaux architecturés, en particulier des matériaux se présentant sous forme de treillis répétitifs. Les matériaux architecturés et micro-architecturés couvrent un domaine très large de de propriétés mécaniques, selon la connectivité nodale, la disposition géométrique des éléments structuraux, leurs propriétés mécaniques, et l'existence d'une possible hiérarchie structurale. L'objectif principal de la thèse est la prise en compte des nonlinéarités géométriques résultant des évolution
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Schlömerkemper, Anja. "Magnetic forces in discrete and continuous systems." Doctoral thesis, Universitätsbibliothek Leipzig, 2004. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-37349.

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The topic of this thesis is a mathematically rigorous derivation of formulae for the magnetic force which is exerted on a part of a bounded magnetized body by its surrounding. Firstly, the magnetic force is considered within a continuous system based on macroscopic magnetostatics. The force formula in this setting is called Brown's force formula referring to W. F. Brown, who gave a mainly physically motivated discussion of it. This formula contains a surface integral which shows a nonlinear dependence on the normal. Brown assumes the existence of an additional term in the surface force which c
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Books on the topic "Continuous or discrete homogenization"

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Neal, Katherine. From Discrete to Continuous. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-017-0077-1.

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Mohamed, Saad H. Continuous and discrete modules. Cambridge University Press, 1990.

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Miller, Boris M., and Evgeny Ya Rubinovich. Impulsive Control in Continuous and Discrete-Continuous Systems. Springer US, 2003. http://dx.doi.org/10.1007/978-1-4615-0095-7.

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Miller, Boris M. Impulsive control in continuous and discrete-continuous systems. Kluwer Academic/Plenum Publishers, 2003.

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Miller, B. Impulsive Control in Continuous and Discrete-Continuous Systems. Springer US, 2003.

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Ya, Rubinovich Evgeny, ed. Impulsive control in continuous and discrete-continuous systems. Kluwer Academic/Plenum Publishers, 2003.

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Neff, Herbert P. Continuous and discrete linear systems. Krieger Pub. Co., 1991.

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Dougherty, Edward R. Image processing: Continuous to discrete. Prentice-Hall, 1987.

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Bucek, Victor J. Control systems: Continuous and discrete. Prentice Hall, 1989.

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Chu, Eleanor Chin-hwa. Discrete and Continuous Fourier Transforms. Taylor and Francis, 2008.

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Book chapters on the topic "Continuous or discrete homogenization"

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Berlyand, Leonid, and Volodymyr Rybalko. "Continuum Limits for Discrete Problems with Fine Scales." In Getting Acquainted with Homogenization and Multiscale. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01777-4_11.

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Ryvkin, Michael, Moshe Fuchs, Fabian Lipperman, and Eyal Moses. "Non-Homogenization Approach to the Analysis of Periodic Elastic Systems: Applications to Fracture Mechanics and Topological Optimization." In Continuum Models and Discrete Systems. Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-2316-3_21.

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Awrejcewicz, Jan, Igor V. Andrianov, and Leonid I. Manevitch. "Discrete—Continuous Systems." In Springer Series in Synergetics. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-72079-6_4.

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Eisner, Tanja. "Discrete vs. continuous." In Stability of Operators and Operator Semigroups. Springer Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0195-5_5.

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Stabel, Aaron, Kimberly Kroeger-Geoppinger, Jennifer McCullagh, et al. "Discrete Versus Continuous." In Encyclopedia of Autism Spectrum Disorders. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4419-1698-3_100464.

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Andrew, Alex M. "Continuous versus Discrete." In IFSR International Series on Systems Science and Engineering. Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-75164-1_3.

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Artiba, A., V. V. Emelyanov, and S. I. Iassinovski. "Modelling Discrete/Continuous Systems." In Introduction to Intelligent Simulation: The RAO Language. Springer US, 1998. http://dx.doi.org/10.1007/978-1-4615-5709-8_15.

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Stremersch, Geert. "Continuous Versus Discrete Events." In Supervision of Petri Nets. Springer US, 2001. http://dx.doi.org/10.1007/978-1-4615-1537-1_7.

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Skakovski, Aleksander. "Discrete-Continuous Scheduling Problem." In Population-Based Approaches to the Resource-Constrained and Discrete-Continuous Scheduling. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-62893-6_8.

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Lyche, Tom, and Jean-Louis Merrien. "Continuous and Discrete Approximations." In Exercises in Computational Mathematics with MATLAB. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-43511-3_11.

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Conference papers on the topic "Continuous or discrete homogenization"

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Aghaeeyan, Azadeh, and Pouria Ramazi. "From Discrete to Continuous Imitation Dynamics." In 2024 IEEE 63rd Conference on Decision and Control (CDC). IEEE, 2024. https://doi.org/10.1109/cdc56724.2024.10886827.

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Gazzo, S. "Anisotropic behaviours and strain concentration in lattice material evaluated by means of discrete homogenization." In AIMETA 2022. Materials Research Forum LLC, 2023. http://dx.doi.org/10.21741/9781644902431-84.

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Abstract. Lattice fibre materials are challenging the standard modelling approaches due to their specific nature that results in peculiar effective behaviours such as extremely anisotropic materials or generalized continuum media. In this context, the aim of this paper is to the determine qualitatively and quantitatively the role of the morphological and mechanical parameters by investigating simple archetypical microstructures. The study is conducted through an up-scaling approach making use of the Homogenization method of discrete periodic media in the framework of a variational approach. Th
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Gonella, Stefano, and Massimo Ruzzene. "Homogenization of Vibrating Periodic Lattice Structures." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84428.

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The paper describes a homogenization technique for periodic lattice structures. The analysis is performed by considering the irreducible unit cell as a building block that defines the periodic pattern. In particular, the continuum equivalent representation for the discrete structure is sought with the objective of retaining information regarding the local properties of the lattice, while condensing its global behavior into a set of differential equations. These equations can then be solved either analytically or numerically, thus providing a model which involves a significantly lower number of
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Pekmezi, Gerald, David Littlefield, and Bruno Chareyre. "Statistical Distributions of the Elastic Moduli of Particle Aggregates at the Mesoscale." In 2019 15th Hypervelocity Impact Symposium. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/hvis2019-052.

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Abstract The current work is part of an ongoing effort to couple the Discrete Element Method (DEM), used as a mesoscale method, with Statistical Mechanics in order to construct a framework for the modeling, homogenization, and uncertainty quantification of particulate geomaterials. The aspect of the framework tackled in this work, is the quantification of stress and deformation of heterogenous DE models. Such quantification is necessary to allow DEM to “speak continuum”. DEM is a discrete particle method, wherein the concept of “stress” does not fit naturally, but where each particle pair is c
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Gonella, Stefano, and Massimo Ruzzene. "Homogenization and Equivalent In-Plane Properties of Hexagonal and Re-Entrant Honeycombs." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42400.

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The investigation of equivalent in-plane properties for hexagonal and re-entrant (auxetic) lattices can be carried out through the analysis of the partial differential equations associated with their homogenized continuum models. A homogenization technique is adopted based on the approximation of the discrete lattice equations according to the finite differences formalism. The technique can be used in conjunction with a finite element (FE) description of the lattice unit cell and therefore allows handling structures with different levels of complexity and various internal geometries within a g
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Dias-de-Oliveira, João. "Domain-oriented multiscale optimization for composite materials." In Material Forming. Materials Research Forum LLC, 2025. https://doi.org/10.21741/9781644903599-74.

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Abstract. In structural topology optimization, intermediate densities are used to bridge the gap between dense materials and voids through optimal distributions of cellular or composite materials. These are handled at multiple size scales, with the local distribution on the microscale affecting the global density at the macroscale. Multilevel or hierarchical approaches are typically employed to solve this two-scale problem, though they often result in high computational costs and limited practical applications. In this work, the authors propose a new approach, reducing the hierarchical problem
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Starosvetsky, Yuli, and Alexander F. Vakakis. "Nonlinear Dynamics of Granular Chains." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-29208.

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We study strongly nonlinear traveling waves in one-dimensional granular chains with no pre-compression. We directly study the discrete, strongly nonlinear governing equations of motion of these media without resorting to continuum approximations or homogenization, which enables us to compute families of stable multi-hump traveling wave solutions with arbitrary wavelengths. We develop systematic semi–analytical approaches for computing different families of nonlinear traveling waves parametrized by spatial periodicity (wavenumber) and energy. Our findings indicate that homogeneous granular chai
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LIU, XIN, BO PENG, and WENBIN YU. "MULTISCALE MODELING OF THE EFFECTIVE THERMAL CONDUCTIVITY OF 2D WOVEN COMPOSITES BY MECHANICS OF STRUCTURE GENOME AND NEURAL NETWORKS." In Thirty-sixth Technical Conference. Destech Publications, Inc., 2021. http://dx.doi.org/10.12783/asc36/35936.

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A data-driven multiscale modeling approach is developed to predict the effective thermal conductivity of two-dimensional (2D) woven composites. First, a two-step homogenization approach based on mechanics of structure genome (MSG) is developed to predict effective thermal conductivity. The accuracy and efficiency of the MSG model are compared with the representative volume element (RVE) model based on three-dimensional (3D) finite element analysis (FEA). Then, the simulation data is generated by the MSG model to train neural network models to predict the effective thermal conductivity of three
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Pothana, Prasad, Kegang Ling, and Fernando E. Garcia. "Deformation and Damage Evolution Characteristics in Laminated Rocks Using Discrete Element Method." In 58th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2024. http://dx.doi.org/10.56952/arma-2024-1098.

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ABSTRACT: Laminated rocks, prevalent in natural geological processes, exhibit pronounced mechanical anisotropy, a characteristic shared with unconventional hydrocarbon reservoirs. The arrangement of laminations significantly influences fluid flow and stress propagation, underscoring the imperative to comprehend the mechanical behavior of such materials. Traditional homogenization models and continuum-based numerical methods often struggle to accurately capture the intricate dynamics of granular materials, marked by variations and arching mechanisms crucial for system stability. In contrast, di
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D'Addetta, Gian Antonio, Ekkehard Ramm, Stefan Diebels, and Wolfgang Ehlers. "Homogenization for Particle Assemblies." In Third International Conference on Discrete Element Methods. American Society of Civil Engineers, 2002. http://dx.doi.org/10.1061/40647(259)46.

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Reports on the topic "Continuous or discrete homogenization"

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De Alfaro, Luca, and Zohar Manna. Continuous Verification by Discrete Reasoning,. Defense Technical Information Center, 1994. http://dx.doi.org/10.21236/ada324421.

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Kaliski, Martin E. Asynchronous Discrete Control of Continuous Processes. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada174525.

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Greenberg, J. M. Discrete and continuous models of conservation laws. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/286179.

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Swiler, Laura Painton, Patricia Diane Hough, Peter Qian, Xu Xu, Curtis B. Storlie, and Herbert K. H. Lee. Surrogate models for mixed discrete-continuous variables. Office of Scientific and Technical Information (OSTI), 2012. http://dx.doi.org/10.2172/1055621.

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Lee, Edward A. Constructive Models of Discrete and Continuous Physical Phenomena. Defense Technical Information Center, 2014. http://dx.doi.org/10.21236/ada604845.

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Bilovska, Natalia. HYPERTEXT: SYNTHESIS OF DISCRETE AND CONTINUOUS MEDIA MESSAGE. Ivan Franko National University of Lviv, 2021. http://dx.doi.org/10.30970/vjo.2021.50.11104.

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Abstract:
In the article we interpret discrete and continuous message as interrupted and constant, limited and continual text, which has specific features and a number of differences between traditional (one-dimensional) text and hypertext (multidimensional). The purpose of this study is to define the concept of “hypertext”, consideration of its characteristics and features of the structure, similarities and differences with the traditional text, including the message in the media and communication. To achieve the goal of the study, we used a number of methods typical of journalism. Empirical analysis e
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Parzen, Emanuel. Unification of Statistical Methods for Continuous and Discrete Data. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada224307.

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Cambanis, Stamatis, and Elias Masry. Performance of Discrete-Time Predictors of Continuous-Time Stationary Processes. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada166231.

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Bauman, Lara. New methods of uncertainty quantification for mixed discrete-continuous variable models. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1090213.

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Morrison, W. N., and R. Mendelsohn. A discrete-continuous choice model of climate change impacts on energy. Office of Scientific and Technical Information (OSTI), 1998. http://dx.doi.org/10.2172/656514.

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