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Relevant bibliographies by topics / Elastic Lattice Model

Academic literature on the topic 'Elastic Lattice Model'

Author: Grafiati

Published: 14 March 2023

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Dissertations / Theses
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Journal articles on the topic "Elastic Lattice Model"

1

Zabulionis, Darius, and Vytautas Rimša. "A Lattice Model for Elastic Particulate Composites." Materials 11, no. 9 (September 1, 2018): 1584. http://dx.doi.org/10.3390/ma11091584.

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In the present article, a version of the lattice or spring network method is proposed to model the mechanical response of elastic particulate composites with a high volume fraction of spherical particles and with a much weaker matrix compared to the stiffness of the particles. The main subject of the article is the determination of the axial stiffnesses of the springs of the cell. A comparison of the mechanical response of a three-dimensional particulate composite cube obtained using the finite element method and the proposed methodology showed that the efficiency of the proposed methodology increases with an increasing volume fraction of the particles.

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Saito, Yukio. "Three-dimensional elastic lattice model of heteroepitaxy." Surface Science 586, no. 1-3 (July 2005): 83–95. http://dx.doi.org/10.1016/j.susc.2005.05.004.

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Pal, Raj Kumar, Federico Bonetto, Luca Dieci, and Massimo Ruzzene. "A study of deformation localization in nonlinear elastic square lattices under compression." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2127 (July 23, 2018): 20170140. http://dx.doi.org/10.1098/rsta.2017.0140.

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The paper investigates localized deformation patterns resulting from the onset of instabilities in lattice structures. The study is motivated by previous observations on discrete hexagonal lattices, where a variety of localized deformations were found depending on loading configuration, lattice parameters and boundary conditions. These studies are conducted on other lattice structures, with the objective of identifying and investigating minimal models that exhibit localization, hysteresis and path-dependent behaviour. To this end, we first consider a two-dimensional square lattice consisting of point masses connected by in-plane axial springs and vertical ground springs, which may be considered as a discrete description of an elastic membrane supported by an elastic substrate. Results illustrate that, depending on the relative values of the spring constants, the lattice exhibits in-plane or out-of-plane instabilities leading to localized deformations. This model is further simplified by considering the one-dimensional case of a spring–mass chain sitting on an elastic foundation. A bifurcation analysis of this lattice identifies the stable and unstable branches and sheds light on the mechanism of transition from affine deformation to global or diffuse deformation to localized deformation. Finally, the lattice is further reduced to a minimal four-mass model, which exhibits a deformation qualitatively similar to that in the central part of a longer chain. In contrast to the widespread assumption that localization is induced by defects or imperfections in a structure, this work illustrates that such phenomena can arise in perfect lattices as a consequence of the mode shapes at the bifurcation points. This article is part of the theme issue ‘Nonlinear energy transfer in dynamical and acoustical systems’.

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Colquitt, D. J., I. S. Jones, N. V. Movchan, and A. B. Movchan. "Dispersion and localization of elastic waves in materials with microstructure." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, no. 2134 (May 11, 2011): 2874–95. http://dx.doi.org/10.1098/rspa.2011.0126.

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This paper considers the interaction of elastic waves with materials with microstructure. The paper presents a mathematical model of elastic waves within a lattice system incorporating rotational motions and interaction between different lattice elements through elastic links. The waves are dispersive and the lattice system itself is heterogeneous, i.e. the elastic stiffness and/or mass are non-uniformly distributed. For such systems, one can identify stop bands, representing the intervals of frequencies of waves, which become evanescent and cannot propagate through the structure. Filtering properties of such lattices are studied in this paper. Defect modes are created by removing a periodic array of elastic links, which leads to localization within a macro-cell. Special attention is given to the evaluation of the effective group velocities and to the study of standing waves within the system. Analytical estimates are accompanied by numerical simulations and analysis of dispersion surfaces. We also consider an example showing the focusing and the creation of an image point by a flat elastic ‘lens’ formed from a finite micropolar lattice system.

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Johnson, R. A., and D. J. Oh. "Analytic embedded atom method model for bcc metals." Journal of Materials Research 4, no. 5 (October 1989): 1195–201. http://dx.doi.org/10.1557/jmr.1989.1195.

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The requirements for fitting bcc metals within the EAM format are discussed and, for comparative purposes, the EAM format is cast in a normalized form. A general embedding function is defined and an analytic first- and second-neighbor model is presented. The parameters in the model are determined from the cohesive energy, the equilibrium lattice constant, the three elastic constants, and the unrelaxed vacancy formation energy. Increasing the elastic constants, increasing the elastic anisotropy ratio, and decreasing the unrelaxed vacancy formation energy favor stability of a close-packed lattice over bcc. A stable bcc lattice relative to close packing is found for nine bcc metals, but this scheme cannot generate a model for Cr because the elastic constants of Cr require a negative curvature of the embedding function.

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Giraud, Laurent, Dominique d'HumièRes, and Pierre Lallemand. "A Lattice-Boltzmann Model for Visco-Elasticity." International Journal of Modern Physics C 08, no. 04 (August 1997): 805–15. http://dx.doi.org/10.1142/s0129183197000692.

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The classical lattice-Boltzmann scheme is extended in an attempt to represent visco-elastic fluids in two dimensions. At each lattice site, two new quantities are added. A suitable coupling of these quantities with the viscous stress tensor leads to a nonzero shear modulus and visco-elastic effects. A Chapman–Enskog expansion gives us the equilibrium populations and conditions for isotropy of the model. A finite wave vector analysis is needed to study the relaxation of sound waves and to determine the dependence of the transport coefficients upon the frequency.

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Pouget, J., A. Aşkar, and G. A. Maugin. "Lattice model for elastic ferroelectric crystals: Microscopic approach." Physical Review B 33, no. 9 (May 1, 1986): 6304–19. http://dx.doi.org/10.1103/physrevb.33.6304.

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Pouget, J., A. Aşkar, and G. A. Maugin. "Lattice model for elastic ferroelectric crystals: Continuum approximation." Physical Review B 33, no. 9 (May 1, 1986): 6320–25. http://dx.doi.org/10.1103/physrevb.33.6320.

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Karamoozian, Aminreza, Chin An Tan, and Liangmo Wang. "Homogenized modeling and micromechanics analysis of thin-walled lattice plate structures for brake discs." Journal of Sandwich Structures & Materials 22, no. 2 (February 22, 2018): 423–60. http://dx.doi.org/10.1177/1099636218757670.

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Periodic cellular structures, especially lattice designs, have potential to improve the cooling performance of brake disk system. In this paper, the method of two scales asymptotic homogenization was used to indicate the effective elastic stiffnesses of lattice plates structures. The arbitrary topology of lattice core cells connected to the back and front plates which are made of generally orthotropic materials, due to use in brake disc design. This starts with the derivation of general shell model with consideration of the set of unit cell problems and then making use of the model to determine the analytical equations and calculate the effective elastic properties of lattice plate concerning the connected back and front plates. The analytical and numerical method allows determining the stiffness properties and the internal forces in the trusses and plates of the lattice. Three types of core-based lattice plates, which are pyramidal, X-type and I-type lattices, have been studied. The I-type lattice is characterized here for the first time with particular attention on the role that the cell trusses and plates plays on the stiffness and strength properties. The lattice designs are finite element characterized and compared with the numerical and experimentally validated pyramidal and X-type lattices under identical conditions. The I-type lattice provides 4% higher strength more than the other lattice types with 9% higher truss fraction coefficient. Results show that the stiffness and yield strength of the lattices depend upon the stress–strain response of the parent alloy of trusses and plates, the truss mass fraction coefficient, the face carriers thickness and the core elements parameters. The study described here is limited to a linear analysis of lattice properties. Geometric nonlinearities, however, have a considerable impact on the effective behavior of a lattice and will be the subject of future studies.

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Tarasov, Vasily E. "General lattice model of gradient elasticity." Modern Physics Letters B 28, no. 07 (March 13, 2014): 1450054. http://dx.doi.org/10.1142/s0217984914500547.

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In this paper, new lattice model for the gradient elasticity is suggested. This lattice model gives a microstructural basis for second-order strain-gradient elasticity of continuum that is described by the linear elastic constitutive relation with the negative sign in front of the gradient. Moreover, the suggested lattice model allows us to have a unified description of gradient models with positive and negative signs of the strain gradient terms. Possible generalizations of this model for the high-order gradient elasticity and three-dimensional case are also suggested.

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Dissertations / Theses on the topic "Elastic Lattice Model"

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SCARAMOZZINO, DOMENICO. "Elastic Lattice Models: From Proteins to Diagrid Tall Buildings." Doctoral thesis, Politecnico di Torino, 2021. http://hdl.handle.net/11583/2872326.

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Shiva, V. A. "Visualization of wave propagation in elastic solids using a mass-spring lattice model." Thesis, Massachusetts Institute of Technology, 1989. http://hdl.handle.net/1721.1/63194.

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Thesis (M.S.V.S.)--Massachusetts Institute of Technology, Dept. of Architecture, February 1990.
Videocassette is VHS format.
Includes bibliographical references.
by Shiva Ayyadurai.
M.S.V.S.

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AYADI, MOHAMED. "Contribution a l'etude de la dynamique de reseau de quelques composes de la serie de la mathlockite (pbfcl)." Université Louis Pasteur (Strasbourg) (1971-2008), 1986. http://www.theses.fr/1986STR13183.

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Etude de l'energie de cohesion de composes a structure de mathlockite; conditions de stabilite, expressions de la polarisation ionique, des constantes d'elasticite et des constantes dielectriques (modele de la coquille, presence de sites non centrosymetriques). Condition de synthese et de croissance cistalline de cahcl, bafcl, pbfcl et biocl; spectres raman et ir. Analyse des spectres de reflexion ir de bafcl (kramers-kronig et oscillateur classique). Determination de la densite d'etats et de la dispersion de phonons pour bafcl; calcul de certaines constantes d'elasticite

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Rannou, Isabelle. "Etudes sous pression de la transition de phase interpolytypique du sulfure de gallium." Paris 6, 1986. http://www.theses.fr/1986PA066063.

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Etude entre 0 et dollar GPA, permettant de mettre en évidence une transition de basse pression à 1,6 GPA; mesures de l'absorption optique et de l'indice de réfraction, de la diffusion Raman et de la diffusion Brillouin; analyse des variations a la transition. Description satisfaisante des variations des modes de vibration au moyen d'un modèle de dynamique réticulaire a forces centrales.

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Wang, Tsung-Tsong, and 王政中. "The theoretical prediction on the elastic properties of bulk metals using lattice model combined with interatomic potential." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/74864334645364822737.

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碩士
國立中正大學
機械工程所
97
Different empirical-based potential functions will create different material elastic constants is for sure. Therefore, an analytical closed-form solution is critically needed in order to check the relationship of atomic strengths and the bulk mechanical properties. In this study, the lattice model is developed to analytically estimate the elastic constants of metals from interatomic potential. It is assumed that each atom only interacts with its nearest and second-nearest atom neighbors and the interactions are represented by harmonic springs with spring constants and, respectively. Through this transformation, the originally discrete atomic structure can be analyzed in the continuum level. The analytical expressions of both body-centered-cubic and face-centered-cubic lattice structures is derived using the lattice model. Both the pairwise Morse potential and many-body Tight-Binding potential are incorporated through the analytical model. The main difference between the many-body potential model and a pairwise potential model is that the interaction between two atoms is considered in the former case to depend not only on two atoms, but also upon their local environment. The prediction based on Tight-Binding potential has been proven to be more accurate than that of the Morse method for most transient metals as compared to the experimental values. Theoretically, the lattice model is a potential function independent method and could be applied to any other potential functions, such as embedded-atom method (EAM), Tersoff and Stillinger-Weber potentials, etc.

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Hartmann, Markus [Verfasser]. "Lattice models in materials science : diffusion, trabecular bone remodelling and linear elastic networks / von Markus Hartmann." 2006. http://d-nb.info/979086566/34.

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Book chapters on the topic "Elastic Lattice Model"

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Challamel, Noël, Chien Ming Wang, Hong Zhang, and Isaac Elishakoff. "Lattice-Based Nonlocal Elastic Structural Models." In Springer Tracts in Mechanical Engineering, 1–50. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-63050-8_1.

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Pouget, J. "Nonlinear Dynamics of Lattice Models for Elastic Media." In Physical Properties and Thermodynamic Behaviour of Minerals, 359–401. Dordrecht: Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-2891-6_11.

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Colquitt, D. J., A. B. Movchan, N. V. Movchan, and I. S. Jones. "Elastic Waves and Defect Modes in Micropolar Lattices." In Springer Proceedings in Physics, 707–13. Dordrecht: Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-2069-5_95.

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Cleja-Ţigoiu, Sanda. "Finite Elasto-Plastic Models for Lattice Defects in Crystalline Materials." In Advanced Structured Materials, 43–57. Singapore: Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-3764-1_4.

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Doi, Y., and Akihiro Nakatani. "Manipulation of Intrinsic Localized Modes by Elastic Waves in One Dimensional Anharmonic Lattice Systems." In Engineering Plasticity and Its Applications, 997–1002. Stafa: Trans Tech Publications Ltd., 2007. http://dx.doi.org/10.4028/0-87849-433-2.997.

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Mora, Peter, and David Place. "Stress Correlation Function Evolution in Lattice Solid Elasto-dynamic Models of Shear and Fracture Zones and Earthquake Prediction." In Earthquake Processes: Physical Modelling, Numerical Simulation and Data Analysis Part II, 2413–27. Basel: Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8197-5_13.

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"Elastic Bond-Based Peridynamic Lattice Model." In Introduction to Practical Peridynamics, 202–24. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814699556_0007.

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Bulatov, Vasily, and Wei Cai. "Peierls–Nabarro Model Of Dislocations." In Computer Simulations of Dislocations. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198526148.003.0013.

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Chapter 1 introduced dislocations as dual objects permitting both atomistic and continuum descriptions. The subsequent Chapters 2 through 7 discussed various aspects of atomistic simulations and their application to dislocation modeling. In the rest of the book, from Chapter 8 to Chapter 11, we will be treating dislocations as continuum objects. This is a huge simplification that makes it possible to consider dislocation behavior on length and time scales well beyond reach of the atomistic simulations. The following chapters are organized in the order of increasing length and time scales. This particular chapter deals with the famous Peierls–Nabarro continuum model that is most closely related to the atomistic models discussed earlier. Fundamentally, dislocations are line defects producing distortions in an otherwise perfect crystal lattice. While this point of view is entirely correct, the atomistic models of dislocations can deal with only relatively small material volumes where every atom is individually resolved. Furthermore, having to keep track of all these atoms all the time limits the time horizon of atomistic simulations. On the other hand, when the host crystal is viewed as an elastic continuum, the linear elasticity theory of dislocations offers a variety of useful analytical and numerical solutions that are no longer subject to such constraints. Although quite accurate far away from the dislocation center, where the lattice distortions remain small, continuum theory breaks down near the dislocation center, where lattice discreteness and non-linearity of interatomic interactions become important. To obtain a more efficient description of crystal dislocations, some sort of bridging between the atomistic and continuum models is necessary. For example, it would be very useful to have a hybrid continuum–atomistic approach such that it retains the analytic nature of the continuum theory for the long-range elastic fields but also captures the essential non-linear effects in the atomic core. Bearing the names of Rudolf Peierls [86] and Frank Nabarro [87], the celebrated Peierls–Nabarro (PN) model is one such approach. Possibly the most attractive feature of the PN model is its simplicity.

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Margolus, Norman H. "Universal Cellular Automata Based on the Collisions of Soft Spheres." In New Constructions in Cellular Automata. Oxford University Press, 2003. http://dx.doi.org/10.1093/oso/9780195137170.003.0013.

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Fredkin’s Billiard Ball Model (BBM) is a continuous classical mechanical model of computation based on the elastic collisions of identical finite-diameter hard spheres. When the BBM is initialized appropriately, the sequence of states that appear at successive integer time steps is equivalent to a discrete digital dynamics. Here we discuss some models of computation that are based on the elastic collisions of identical finite-diameter soft spheres: spheres which are very compressible and hence take an appreciable amount of time to bounce off each other. Because of this extended impact period, these Soft Sphere Models (SSMs) correspond directly to simple lattice gas automata—unlike the fast-impact BBM. Successive time steps of an SSM lattice gas dynamics can be viewed as integer-time snapshots of a continuous physical dynamics with a finite-range soft-potential interaction. We present both two-dimensional and three-dimensional models of universal CAs of this type, and then discuss spatially efficient computation using momentum conserving versions of these models (i.e., without fixed mirrors). Finally, we discuss the interpretation of these models as relativistic and as semiclassical systems, and extensions of these models motivated by these interpretations. Cellular automata (CA) are spatial computations. They imitate the locality and uniformity of physical law in a stylized digital format. The finiteness of the information density and processing rate in a CA dynamics is also physically realistic. These connections with physics have been exploited to construct CA models of spatial processes in Nature and to explore artificial “toy” universes. The discrete and uniform spatial structure of CA computations also makes it possible to “crystallize” them into efficient hardware [17, 21]. Here we will focus on CAs as realistic spatial models of ordinary (nonquantum- coherent) computation. As Fredkin and Banks pointed out [2], we can demonstrate the computing capability of a CA dynamics by showing that certain patterns of bits act like logic gates, like signals, and like wires, and that we can put these pieces together into an initial state that, under the dynamics, exactly simulates the logic circuitry of an ordinary computer.

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Zapperi, Stefano. "Fracture." In Crackling Noise, 68–87. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192856951.003.0005.

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Abstract Understanding how materials break is still a fundamental problem of science and engineering that has long been empirically investigated, starting from the pioneering works of Leonardo da Vinci and Galileo Galilei. Besides the engineering aspects of the problem, the statistical properties of fracture have attracted a wide interest in the statistical physics community. In this context, fracture is considered an irreversible process ruled by long-range interactions and disorder. Several experiments have revealed that fracture is indeed a complex phenomenon, described by scale invariant laws. Examples notably include the acoustic emission activity prior to fracture, which typically displays an intermittent character and a power law amplitude distribution. This observation suggests the presence of an internal avalanche dynamics possibly ruled by some non-equilibrium critical point. To address this problem, it is conventional to start from the theory of elasticity and consider the elastic stresses associated with a crack. In this context, a single crack propagating through a disordered medium undergoes a depinning transition. Whenever damage is diffusive, however, studying a single crack is not adequate and one usually resorts to lattice models, from simple mean-field like fiber bundles to more complicated and realistic models of disordered elastic media. We conclude making direct analogies between fracture and phase transitions.

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Conference papers on the topic "Elastic Lattice Model"

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Xia*, Muming, Hui Zhou, Qingchen Zhang, Hanming Chen, and Yuzhao Dou. "Modeling elastic waves with Lattice Spring Model." In SEG Technical Program Expanded Abstracts 2015. Society of Exploration Geophysicists, 2015. http://dx.doi.org/10.1190/segam2015-5839756.1.

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Kastner, Oliver, and Graeme J. Ackland. "Load-Induced Martensitic Transformations in Pseudo-Elastic Lennard-Jones Crystals." In ASME 2008 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2008. http://dx.doi.org/10.1115/smasis2008-413.

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We present molecular dynamics (MD) simulations of a load-induced martensitic phase transformation in pseudo-elastic Lennard-Jones crystals. The model material exhibits martensitic transformations between cubic and hexagonal lattice structures in 2D which represent austenite and martensite. Under axial loading two martensite variants are favoured out of four generic variants possible with this model. In nucleation-and-growth processes the formation of martensite domains are observed in MD simulations and the reverse process upon unloading. Two possible re-transformation mechanisms are identified, a reversible and a reconstructive type. Reversible re-transformations conserve the reference unit cells, while the reconstructive mechanism involves the generation of dislocation motions which destroy the reference unit cells by slip. Both types re-establish the square lattice. While the reversible type represents the predominant reverse transformation mechanism, the reconstructive type is of special importance because it produces lattice defects, and plastic deformation which change both the evolution of subsequent transformation cycles and the magnitude of the phase transformation load.

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Zhao, Ruijie, Yunfei Chen, Kedong Bi, Meihui Lin, and Zan Wang. "A Modified Thermal Boundary Resistance Model for FCC Structures." In ASME 2009 Second International Conference on Micro/Nanoscale Heat and Mass Transfer. ASMEDC, 2009. http://dx.doi.org/10.1115/mnhmt2009-18175.

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A modified lattice-dynamical model is proposed to calculate the thermal boundary resistance at the interface between two fcc lattices. The nonequilibrium molecular dynamics (MD) simulation is employed to verify the theoretical calculations. In our physical model, solid crystal argon is set at the left side and the right side structure properties are tunable by setting the atomic mass and the interactive energy strength among atoms with different values. In the case of mass mismatch, the predictions of the lattice-dynamical (LD) model agree well at low temperature while the calculations of the diffuse mismatch model (DMM) based on the detailed phonon dispersion agree well at high temperature with the MD simulations. The modified LD model, considering a partially specular and partially diffuse phonon scattering, can explain the simulations reasonably in the whole temperature rage. The good agreement between the theoretical calculations and the simulations may be attributed to that phonon scattering mechanisms are dominated by elastic scattering at the perfect interfaces. In the case of interactive energy strength mismatch, the simulations are under the predictions of both the theoretical models, which may be attributed to the fact that this mismatch can bring about an outstanding contribution to opening up an inelastic channel for heat transfer at the interfaces.

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Baek, E. "Use of a Mass-Spring Lattice Model for Simulating Ultrasonic Waves in an Anisotropic Elastic Solid." In QUANTITATIVE NONDESTRUCTIVE EVALUATION. AIP, 2006. http://dx.doi.org/10.1063/1.2184509.

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Abdelhamid, Mohamed, and Aleksander Czekanski. "On the Effective Properties of 3D Metamaterials." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-67407.

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A continuum-based model is developed for the octet-truss unit cell in order to describe the effective mechanical properties (elastic modulus) of the lattice structure. This model is to include different geometric parameters that impact the structural effects; these parameters are: lattice angle, loading direction, thickness to diameter ratio, diameter to length ratio, and ellipticity. All these geometric parameters are included in the stiffness matrix, and the impact of each parameter on the stiffness tensor is investigated. Specifically, the effect of the lattice angle on the elastic moduli is discussed, and the loading direction of the highest elastic modulus is investigated for different lattice angles. Furthermore, the Gurtin-Murdoch model of surface elasticity is used to include the size effect in the stiffness tensor, as well as anisotropy of this model is investigated.

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Frandsen, Jannette B. "A Lattice Boltzmann Bluff Body Model for VIV Suppression." In 25th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/omae2006-92271.

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In this paper, the suitability of a mesoscopic approach involving a single phase Lattice Boltzmann (LB) model is examined. In contrast, to continuum based numerical models, where only space and time are discrete, the discrete variables of the LB model are space, time and particle velocity. With reference to the Boltzmann equation of classical kinetic theory, the distribution of fluid molecules is represented by particle distribution functions. The LB method simulates fluid flow by tracking particle distributions. It is notable that the formulation avoids the need to include the Poisson equation. An elastic-collision scheme with no-slip walls is prescribed. The central idea behind proposing the present formulation is many fold. One goal is to capture smaller scales naturally, postponing the need of applying empirical turbulence models. Another goal is to get further insight into nonlinearities in steep and breaking free surfaces to improve current continuum mechanics solutions. Although the long term goal is to predict bluff-body high Reynolds number flows and breaking water waves, the present study is limited to laminar flow simulations and continuous free surfaces. The case studies presented include bluff bodies embedded in Reynolds number flows in the order of 100–200. The free surface test cases represent bore propagation past a single and multiple structures. The 2-D uniform grid solutions are compared with findings reported in the literature. Vortex patterns are studied when single or several objects are located in the bluff-body wakes. From a mitigation point of view, the model presents an easy means of re-arranging bluff bodies to study optimum solutions for VIV suppression with/without a free surface.

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Yu, Hui-Chia, and Wei Lu. "Self-Assembly of Nanovoids in Solids." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-60008.

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Experiments show that vacancies in a solid may coalesce into voids and self-organize into a super-lattice. The voids have diameters around 10 nm and spacing of tens of nanometers. This paper develops a thermodynamic model to explain and simulate the remarkable phenomena. We incorporate free energy of mixing, interface energy and elasticity into a continuous phase field model. It is well known that the total interface energy reduces when the voids grow larger. Simulations show that elastic anisotropy may limit the coarsening. Starting from randomly distributed vacancies, the process of coalescence and void lattice formation demonstrates rich dynamics. Long-range elastic interaction and elastic anisotropy are found to play a significant role that determines the self-assembled super-lattice.

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Salac, David, and Wei Lu. "Irradiiaton-Induced Defect Self-Organizatoin." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81339.

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Experiments show that vacancies in a solid may coalesce into voids and self-organize into a super-lattice. The voids have diameters around 10 nm and spacing of tens of nanometers. This paper develops a thermodynamic model to explain and simulate the remarkable phenomena. We incorporate free energy of mixing, interface energy and elasticity into a continuous phase field model. It is well known that the total interface energy reduces when the voids grow larger. Simulations show that elastic anisotropy may limit the coarsening. Starting from randomly distributed vacancies, the process of coalescence and void lattice formation demonstrates rich dynamics. Long-range elastic interaction and elastic anisotropy are found to play a significant role that determines the self-assembled super-lattice.

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Wei, Bei, Jian Hou, and Ermeng Zhao. "Effects of Non-Newtonian Fluid Characteristics on Flow Dynamics in Polymer Flooding: a Lattice Boltzmann Study." In SPE Europec featured at 82nd EAGE Conference and Exhibition. SPE, 2021. http://dx.doi.org/10.2118/205225-ms.

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Abstract The flow dynamics of non-Newtonian fluid in porous media is much different from the Newtonian fluid. In this work, we establish a lattice Boltzmann model for polymer flooding taking into both the power law fluid properties and viscoelastic fluid properties. Using this model, we investigate the viscosity distribution in porous media, the local apparent permeability in porous media, and the effect of elastic force on the remaining oil in dead ends. Firstly, we build a single phase lattice Boltzmann model to evolve the fluid velocity field. Then the viscosity and shear rate in each lattice can be calculated based on the relaxation time and velocity field. We further make the fluid viscosity change with the shear rate according to the power-law fluid constitutive equation, consequently establish the lattice Boltzmann model for power law fluid. Moreover, we derive the Maxwell viscoelastic fluid model in integral form using Boltzmann superposition principle, and the elastic force is calculated from the divergence of the stress tensor. We then couple the elastic force into the lattice Boltzmann model by Newton's second law, and finally establish the lattice Boltzmann model of the viscoelastic fluid. Both the models are validated against analytical solutions. The simulation results show that when the power-law index is smaller than 1, the fluid viscosity shows a distribution of that viscosity is higher in pore center and lower near the wall; while when the index is larger than 1, the fluid viscosity shows a opposite distribution. This is because the pore center has a high velocity but a low shear rate, while the boundary has a low velocity but a high shear rate. Moreover, the local apparent permeability decreases with the power law index, and the number of hyper-permeable bands also decreases. In addition, the local permeability shows pressure gradient dependence. Considering the viscoelasticity effects, the displacement fluid has a clear tendency to sweep deeply into the dead end, which improves the oil washing efficiency of the dead end. The model provides a pore scale simulation tool for polymer flooding and help understand the flow mechanisms and enhanced oil recovery mechanisms during polymer flooding.

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Gorguluarslan, Recep M., Seung-Kyum Choi, and Hae-jin Choi. "Uncertainty Quantification and Validation of Lattice Structures Fabricated by Selective Laser Melting." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67438.

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A methodology is proposed for uncertainty quantification to accurately predict the mechanical response of lattice structures fabricated by additive manufacturing. Effective structural properties of the lattice structures are characterized using a multi-level stochastic upscaling process that propagates the quantified uncertainties at strut level to the lattice structure level. To obtain realistic simulation models for the stochastic upscaling process, high resolution finite element models of individual struts were reconstructed from the micro-CT scan images of lattice structures which are fabricated by selective laser melting. The upscaling process facilitates obtaining of the homogenized strut properties of the lattice structure to reduce the computational cost of the detailed simulation model for the lattice structure. Bayesian Information Criterion is utilized to quantify the uncertainties with parametric distributions based on the statistical data obtained from the reconstructed strut models. A systematic validation approach that can minimize the experimental cost is also utilized to assess the predictive capability of the stochastic upscaling method used at strut level and lattice structure level. In comparison with physical compression tests, the proposed methodology of linking the uncertainty quantification with multi-level stochastic upscaling method enabled an accurate prediction of the elastic behavior of the lattice structure by accounting for the uncertainties introduced by the additive manufacturing process.

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Reports on the topic "Elastic Lattice Model"

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CALCULATION METHOD OF ULTIMATE LOAD BEARING CAPACITY OF CONCRETE FILLED STEEL TUBULAR LATTICE COLUMNS. The Hong Kong Institute of Steel Construction, August 2022. http://dx.doi.org/10.18057/icass2020.p.095.

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To investigate the influence of eccentricity ratio and slenderness ratio on the mechanical properties of eccentric compressed concrete filled steel tubular (CFST) lattice column, the ultimate bearing capacity tests of 20 K shape arrangement lacing strip of four-tube CFST columns were conducted. Based on the stress-strain relationship of CFST and the influence of shear deformation, the equilibrium equation of the mid-section is established and a numerical method for the ultimate bearing capacity of CFST lattice column is proposed. The slenderness reduction coefficient calculation model and equivalent slenderness ratio formula of CFST lattice column are established. Combined with the numerical results and the slenderness ratio reduction coefficient calculation model, the formula of slenderness ratio reduction coefficient is put forward. The comparison between theoretical analysis and experimental results shows that the calculation method of elastic-plastic ultimate bearing capacity of CFST lattice column proposed in this paper is quite accurate. The research outcomes can provide a reference for the application of CFST lattice column and revision of current specifications.

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AXIAL COMPRESSION BEHAVIOR OF SQUARE THIN-WALLED CFST COLUMN TO RC BEAM JOINTS. The Hong Kong Institute of Steel Construction, August 2022. http://dx.doi.org/10.18057/icass2020.p.288.

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To investigate the influence of eccentricity ratio and slenderness ratio on the mechanical properties of eccentric compressed concrete filled steel tubular (CFST) lattice column, the ultimate bearing capacity tests of 20 K shape arrangement lacing strip of four-tube CFST columns were conducted. Based on the stress-strain relationship of CFST and the influence of shear deformation, the equilibrium equation of the mid-section is established and a numerical method for the ultimate bearing capacity of CFST lattice column is proposed. The slenderness reduction coefficient calculation model and equivalent slenderness ratio formula of CFST lattice column are established. Combined with the numerical results and the slenderness ratio reduction coefficient calculation model, the formula of slenderness ratio reduction coefficient is put forward. The comparison between theoretical analysis and experimental results shows that the calculation method of elastic-plastic ultimate bearing capacity of CFST lattice column proposed in this paper is quite accurate. The research outcomes can provide a reference for the application of CFST lattice column and revision of current specifications.

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