Relevant bibliographies by topics / Structure lattice

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

Academic literature on the topic 'Structure lattice'

Author: Grafiati
Published: 4 June 2021
Last updated: 21 December 2024

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Journal articles on the topic "Structure lattice"

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Abusabir, Ahmed, Muhammad A. Khan, Muhammad Asif, and Kamran A. Khan. "Effect of Architected Structural Members on the Viscoelastic Response of 3D Printed Simple Cubic Lattice Structures." Polymers 14, no. 3 (February 5, 2022): 618. http://dx.doi.org/10.3390/polym14030618.

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Three-dimensional printed polymeric lattice structures have recently gained interests in several engineering applications owing to their excellent properties such as low-density, energy absorption, strength-to-weight ratio, and damping performance. Three-dimensional (3D) lattice structure properties are governed by the topology of the microstructure and the base material that can be tailored to meet the application requirement. In this study, the effect of architected structural member geometry and base material on the viscoelastic response of 3D printed lattice structure has been investigated. The simple cubic lattice structures based on plate-, truss-, and shell-type structural members were used to describe the topology of the cellular solid. The proposed lattice structures were fabricated with two materials, i.e., PLA and ABS using the material extrusion (MEX) process. The quasi-static compression response of lattice structures was investigated, and mechanical properties were obtained. Then, the creep, relaxation and cyclic viscoelastic response of the lattice structure were characterized. Both material and topologies were observed to affect the mechanical properties and time-dependent behavior of lattice structure. Plate-based lattices were found to possess highest stiffness, while the highest viscoelastic behavior belongs to shell-based lattices. Among the studied lattice structures, we found that the plate-lattice is the best candidate to use as a creep-resistant LS and shell-based lattice is ideal for damping applications under quasi-static loading conditions. The proposed analysis approach is a step forward toward understanding the viscoelastic tolerance design of lattice structures.
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Li, He, Lingjie Li, Haozhang Zhong, Hanxuan Mo, and Mengyuan Gu. "Hierarchical lattice: Design strategy and topology characterization." Advances in Mechanical Engineering 15, no. 6 (June 2023): 168781322311796. http://dx.doi.org/10.1177/16878132231179623.

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The structure-material integrated design is an art-of-state concept and be enabled by additive manufacturing. The lattice material is classified into structure as well as material because mechanical properties are determined by its topology. However, the lack of a flexible design strategy hinders the lattice achieve the structure-material integrated material candidate. This work suggests the strut-nested based strategies to effectively conduct the hierarchical lattice design. The strut in the larger-scale lattice can be replaced by the smaller-scale lattice structure through the rotation, stretching, and translation operations combining the local and global numbering, thereby complete the multi-scale lattice design. The design skills are well elucidated with custom-developed algorithm; a serious of complex lattices achieve multi-scale design. The influence of hierarchical structures in lattices on a significant parameter, strut length-to-diameter, is identified. Our work offers the alternative strategy to realize the hierarchical lattice design.
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Li, Yuhua, Deyu Jiang, Rong Zhao, Xin Wang, Liqiang Wang, and Lai-Chang Zhang. "High Mechanical Performance of Lattice Structures Fabricated by Additive Manufacturing." Metals 14, no. 10 (October 12, 2024): 1165. http://dx.doi.org/10.3390/met14101165.

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Lattice structures show advantages in mechanical properties and energy absorption efficiency owing to their lightweight, high strength and adjustable geometry. This article reviews lattice structure classification, design and applications, especially those based on additive manufacturing (AM) technology. This article first introduces the basic concepts and classification of lattice structures, including the classification based on topological shapes, such as strut, surface, shell, hollow-strut, and so on, and the classification based on the deformation mechanism. Then, the design methods of lattice structure are analyzed in detail, including the design based on basic unit, mathematical algorithm and gradient structure. Next, the effects of different lattice elements, relative density, material system, load direction and fabrication methods on the mechanical performance of AM-produced lattice structures are discussed. Finally, the advantages of lattice structures in energy absorption performance are summarized, aiming at providing theoretical guidance for further optimizing and expanding the engineering application potential of lattices.
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Dong, Wei, Yang Li, Kehao Xin, Dezheng Yin, Longlong Song, and Tong Gao. "A method of designing plate structure consisting of lattices and stiffeners based on topology optimization." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 39, no. 6 (December 2021): 1233–39. http://dx.doi.org/10.1051/jnwpu/20213961233.

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In order to satisfy the lightweight design requirements of the equipment mounting plate in the hypersonic vehicle instrument cabin and improve its static/dynamic performance, a novel structure consisting of both lattices and stiffeners are studied and topology optimization method is proposed in this paper. This structure combines the advantages of lattice structures and conventional stiffened structures. First, the lattice structure is regarded as a kind of virtual material, and its equivalent mechanical properties are calculated by the homogenization method. Then, a marerial interpolation model of the virtual and solid materials are established. A topology optimization problem to minimize the mean compliance under the mass constraint is proposed to realize the layout optimization design of stiffened structure with lattices. Taking an equipment mounting plate as an example, the optimization design of the traditional stiffened structure and the novel stiffened structure with lattices is completed, respectively. Numerical analysis indicates that the lattice stiffened plate structure provides advantageous mechanical performation in the condition of the same weight. The maximum deformation under inertial force is reduced by 11.17% and the peak displacement response under harmonic excitation is reduced by 73.81% by using the stiffened structure with lattices.
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Khan, Numan, Valerio Acanfora, and Aniello Riccio. "Non-Conventional Wing Structure Design with Lattice Infilled through Design for Additive Manufacturing." Materials 17, no. 7 (March 23, 2024): 1470. http://dx.doi.org/10.3390/ma17071470.

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Lightweight structures with a high stiffness-to-weight ratio always play a significant role in weight reduction in the aerospace sector. The exploration of non-conventional structures for aerospace applications has been a point of interest over the past few decades. The adaptation of lattice structure and additive manufacturing in the design can lead to improvement in mechanical properties and significant weight reduction. The practicality of the non-conventional wing structure with lattices infilled as a replacement for the conventional spar–ribs wing is determined through finite element analysis. The optimal lattice-infilled wing structures are obtained via an automated iterative method using the commercial implicit modeling tool nTop and an ANSYS workbench. Among five different types of optimized lattice-infilled structures, the Kelvin lattice structure is considered the best choice for current applications, with comparatively minimal wing-tip deflection, weight, and stress. Furthermore, the stress distribution dependency on the lattice-unit cell type and arrangement is also established. Conclusively, the lattice-infilled structures have shown an alternative innovative design approach for lightweight wing structures.
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Li, You Tong, and Hui Wang. "The Influence of Rapid Prototyping Technology on Optimization of Automobile Energy-Absorbing Box." Key Engineering Materials 871 (January 2021): 153–58. http://dx.doi.org/10.4028/www.scientific.net/kem.871.153.

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To optimize the structure of the automobile energy-absorbing box and obtain the energy-absorbing box structure with improved impact energy absorption property, and apply it to the structure of automobile energy absorption box, test piece of crystal lattice structure and polycrystalline structure of energy-absorbing box are designed via rapid prototyping technology in this study Four different crystal lattice structures of triangle, quadrangle, hexagon, and hollow lattice structure are designed respectively. And their mechanical properties, impact energy absorption properties, and impact properties are tested. The results show that the wall thickness of the four lattices differs greatly when the quality of all crystal lattice structures is 17.8g. The compressive strength and yield strength of the hollow crystal lattice structure test piece are the largest, reaching 51.1Mpa and 69.2Mpa respectively. The maximum compression modulus of the hexagonal lattice test piece is 1462.1, followed by the hollow crystal lattice structure test piece, whose compression modulus value is 1341. The minimum absorption energy of the hollow lattice structure energy-absorbing box test piece is 2847.99J. The minimum impact value of the hollow lattice structure energy-absorbing box test piece is 69.251KN, and the impact value of triangle structure energy-absorbing box test piece is 118.11 KN. The effective impact time of the drop weight test of the hollow lattice structure energy-absorbing box test piece is only 0.08s, the peak value of the impact acceleration is 28.96g, and the maximum load of the test piece is 26.95KN. According to the comprehensive indicators, the hollow lattice structure energy-absorbing box test piece designed based on rapid prototyping technology has improved the impact energy absorption property of the automobile energy-absorbing box.
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Shatabda, Swakkhar, M. A. Hakim Newton, Mahmood A. Rashid, Duc Nghia Pham, and Abdul Sattar. "How Good Are Simplified Models for Protein Structure Prediction?" Advances in Bioinformatics 2014 (April 29, 2014): 1–9. http://dx.doi.org/10.1155/2014/867179.

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Protein structure prediction (PSP) has been one of the most challenging problems in computational biology for several decades. The challenge is largely due to the complexity of the all-atomic details and the unknown nature of the energy function. Researchers have therefore used simplified energy models that consider interaction potentials only between the amino acid monomers in contact on discrete lattices. The restricted nature of the lattices and the energy models poses a twofold concern regarding the assessment of the models. Can a native or a very close structure be obtained when structures are mapped to lattices? Can the contact based energy models on discrete lattices guide the search towards the native structures? In this paper, we use the protein chain lattice fitting (PCLF) problem to address the first concern; we developed a constraint-based local search algorithm for the PCLF problem for cubic and face-centered cubic lattices and found very close lattice fits for the native structures. For the second concern, we use a number of techniques to sample the conformation space and find correlations between energy functions and root mean square deviation (RMSD) distance of the lattice-based structures with the native structures. Our analysis reveals weakness of several contact based energy models used that are popular in PSP.
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Liu, Tinghao, and Guangbo Hao. "Design of Deployable Structures by Using Bistable Compliant Mechanisms." Micromachines 13, no. 5 (April 19, 2022): 651. http://dx.doi.org/10.3390/mi13050651.

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A deployable structure can significantly change its geometric shape by switching lattice configurations. Using compliant mechanisms as the lattice units can prevent wear and friction among multi-part mechanisms. This work presents two distinctive deployable structures based on a programmable compliant bistable lattice. Several novel parameters are introduced into the bistable mechanism to better control the behaviour of bistable mechanisms. By adjusting the defined geometry parameters, the programmable bistable lattices can be optimized for specific targets such as a larger deformation range or higher stability. The first structure is designed to perform 1D deployable movement. This structure consists of multi-series-connected bistable lattices. In order to explore the 3D bistable characteristic, a cylindrical deployable mechanism is designed based on the curved double tensural bistable lattice. The investigation of bistable lattices mainly involves four types of bistable mechanisms. These bistable mechanisms are obtained by dividing the long segment of traditional compliant bistable mechanisms into two equal parts and setting a series of angle data to them, respectively. The experiment and FEA simulation results confirm the feasibility of the compliant deployable structures.
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Rachůnek, Jiří. "Structure spaces of lattice ordered groups." Czechoslovak Mathematical Journal 39, no. 4 (1989): 686–91. http://dx.doi.org/10.21136/cmj.1989.102345.

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Jiang, Cho-Pei, Alvian Toto Wibisono, and Tim Pasang. "Selective Laser Melting of Stainless Steel 316L with Face-Centered-Cubic-Based Lattice Structures to Produce Rib Implants." Materials 14, no. 20 (October 11, 2021): 5962. http://dx.doi.org/10.3390/ma14205962.

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Selective laser melting has a great potential to manufacture biocompatible metal alloy scaffolds or implants with a regulated porosity structure. This study uses five face-centered cubic (FCC) lattice structures, including FCC, FCC-Z, S-FCC, S-FCC-Z, and FCC-XYZ. Specimens with different lattice structures are fabricated using two laser energy densities, 71 J/mm3 and 125 J/mm3. Density, tensile, compressive and flexural test results exhibit the effect of laser parameters and lattice structure geometries on mechanical properties. The higher laser energy density of 125 J/mm3 results in higher properties such as density, strength, and Young’s modulus than the laser energy density of 71 J/mm3. The S-FCC lattice has the lowest density among all lattices. The mechanical tests result show specimen with FCC-XYZ lattice structures fabricated using a laser energy density of 125 J/mm3 meet the tensile properties requirement for human ribs. This structure also meets the requirement in flexural strength performance, but its stiffness is over that of human ribs. The compression test results of lattices are still incomparable due to unavailable compression data of the human ribs. In short, The FCC-XYZ lattice design fabricated by the 125 J/mm3 laser energy density parameter can be used to manufacture customized rib implants.
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Dissertations / Theses on the topic "Structure lattice"

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Dinter, Simon. "Nucleon structure from lattice QCD." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2012. http://dx.doi.org/10.18452/16629.

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In dieser Arbeit berechnen wir mit Hilfe der Gitter-QCD Observablen, die in Beziehung zur Struktur des Nukleons stehen. Ein Teil dieser Arbeit beschäftigt sich mit Momenten von Parton-Verteilungsfunktionen. Solche Momente sind wichtig für das Verständnis der Nukleon-Struktur und werden durch globale Analysen von tief-inelastischen Streuexperimenten bestimmt. Eine theoretische, nicht-perturbative Rechnung der Momente in der Gitter-QCD ist möglich. Allerdings existiert, seit solche Gitter-QCD Rechnungen vorliegen, eine Diskrepanz zwischen diesen Rechnungen und den Ergebnissen globaler Analysen experimenteller Daten. Wir untersuchen, ob systematische Effekte für diese Diskrepanz verantwortlich sind, dabei studieren wir insbesondere die Effekte angeregter Zustände. Zudem führen wir eine erste Rechnung mit vier dynamischen Quark-Flavors durch. Ein weiterer Aspekt dieser Arbeit ist eine Machbarkeitsstudie zur Berechnung des skalaren Quark-Inhalts des Nukleons in der Gitter-QCD. Dieser bestimmt den Wirkungsquerschnitt der durch ein skalares Teilchen (z.B. ein Higgs-Teilchen) vermittelten Wechselwirkung eines schweren Teilchens mit einem Nukleon und kann somit einen Einfluss bei der Suche nach Dunkler Materie haben. Bisherige Gitter-Rechnungen dieser Größe besitzen große Unsicherheiten und sind daher von geringer Signifikanz für phenomenologische Anwendungen. Wir benutzen eine Varianz-Reduktions-Methode zur Auswertung von unverbundenen Diagrammen um ein präzises Ergebnis zu erhalten. Des Weiteren stellen wir eine neue stochastische Methode zur Berechnung von Nukleon-Dreipunkt-Korrelationsfunktionen vor, die für die Berechnung von Observablen der Nukleon-Struktur benötigt werden. Wir testen die Konkurrenzfähigkeit dieser neuen Methode gegenüber der Standard-Methode. In allen Rechnungen benutzen wir Wilson twisted-Mass Fermionen mit maximalem Twist, so dass die hier berechneten Observablen nur O(a^2) Diskretisierungsfehler aufweisen.
In this thesis we compute within lattice QCD observables related to the structure of the nucleon. One part of this thesis is concerned with moments of parton distribution functions (PDFs). Those moments are essential elements for the understanding of nucleon structure and can be extracted from a global analysis of deep inelastic scattering experiments. On the theoretical side they can be computed non-perturbatively by means of lattice QCD. However, since the time lattice calculations of moments of PDFs are available, there is a tension between these lattice calculations and the results from a global analysis of experimental data. We examine whether systematic effects are responsible for this tension, and study particularly intensively the effects of excited states by a dedicated high precision computation. Moreover, we carry out a first computation with four dynamical flavors. Another aspect of this thesis is a feasibility study of a lattice QCD computation of the scalar quark content of the nucleon, which is an important element in the cross-section of a heavy particle with the nucleon mediated by a scalar particle (e.g. Higgs particle) and can therefore have an impact on Dark Matter searches. Existing lattice QCD calculations of this quantity usually have a large error and thus a low significance for phenomenological applications. We use a variance-reduction technique for quark-disconnected diagrams to obtain a precise result. Furthermore, we introduce a new stochastic method for the calculation of connected 3-point correlation functions, which are needed to compute nucleon structure observables, as an alternative to the usual sequential propagator method. In an explorative study we check whether this new method is competitive to the standard one. We use Wilson twisted mass fermions at maximal twist in all our calculations, such that all observables considered here have only O(a^2) discretization effects.
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Renner, Dru Bryant 1977. "Exploring proton structure using lattice QCD." Thesis, Massachusetts Institute of Technology, 2004. http://hdl.handle.net/1721.1/29448.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 2004.
Includes bibliographical references (leaves 219-222).
We calculate moments of the generalized parton distributions of the nucleon using lattice QCD. The generalized parton distributions determine the angular momentum decomposition of the nucleon and the transverse distributions of partons within the nucleon. Additionally, the generalized parton distributions reduce to the elastic form factors and ordinary parton distributions in particular kinematic limits. Thus by calculating moments of the generalized parton distributions in lattice QCD we can explore many facets of the structure of the nucleon. In this effort, we have developed the building block method to determine all the lattice correlation functions which con- tribute to the off forward matrix elements of the twist two operators. These matrix elements determine the generalized form factors of the nucleon which in turn give the moments of the generalized parton distributions. Thus we use our building block method to calculate all the matrix elements of the lowest twist two operators. Fur- thermore, we use our method to construct an overdetermined set of matrix elements allowing a more accurate calculation of the generalized form factors.
by Dru Bryant Renner.
Ph.D.
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Blair, Stuart R. "Lattice Boltzmann Methods for Fluid Structure Interaction." Thesis, Monterey, California. Naval Postgraduate School, 2012. http://hdl.handle.net/10945/17325.

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The use of lattice Boltzmann methods (LBM) for fluid flow and its coupling with finite element method (FEM) structural models for fluid-structure interaction (FSI) is investigated. A body of high performance LBM software that exploits graphic processing unit (GPU) and multiprocessor programming models is developed and validated against a set of two- and three-dimensional benchmark problems. Computational performance is shown to exceed recently reported results for single-workstation implementations over a range of problem sizes. A mixed-precision LBM collision algorithm is presented that retains the accuracy of double-precision calculations with less computational cost than a full double-precision implementation. FSI modelling methodology and example applications are presented along with a novel heterogeneous parallel implementation that exploits task-level parallelism and workload sharing between the central processing unit (CPU) and GPU that allows significant speedup over other methods. Multi-component LBM fluid models are explicated and simple immiscible multi-component fluid flows in two-dimensions are presented. These multi-component fluid LBM models are also paired with structural dynamics solvers for two-dimensional FSI simulations. To enhance modeling capability for domains with complex surfaces, a novel coupling method is introduced that allows use of both classical LBM (CLBM) and a finite element LBM (FELBM) to be combined into a hybrid LBM that exploits the flexibility of FELBM while retaining the efficiency of CLBM.
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Xue, Boyu. "3D Printed Lattice Structure for Driveline Applications." Thesis, KTH, Materialvetenskap, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-299270.

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Lattice structures have received a lot of attention as cellular materials in recent years because of their outstanding properties, such as high strength-to-weight ratio, heat transfer, energy absorption, and capability of improving noise, vibration and harshness (NVH) behavior. This type of structure received a boost from additive manufacturing (AM) technology, which can fabricate geometries in practically any shape. Due to economic and environmental requirements, lightweight design is increasingly used in automobile and construction equipment applications. NVH behavior is a crucial issue for construction equipment. However, the conventional structures' NVH behavior is mainly decided by the mass, so silence often requires heavy systems, leading to more energy consumption and emission. Therefore, the environmental trends and the resulting economic competition have limited traditional (heavy) solutions to improve NVH behavior and make the lightweight design more difficult. Novel solutions are necessary to light the difficulty and challenge of combining NVH and lightweight requirements. In this research, topology optimization was implemented on a New Articulated Hauler Transmission (NAHT) component to balance lightweight and NVH behavior. The topology- optimized 3D model was filled by a non-homogenous lattice structure with optimal lattice density via size optimization. Lattice structure optimization is one type of topology optimization, and it is the term for describing these procedures. To fabricate the complicated lattice structure, additive manufacturing (or 3D printing) is required (after topology and lattice structure optimization). The new models were analyzed using the finite element method (FEM), and the results of the analysis were compared with those of the original models. After the comparison, positive results were obtained, demonstrating that topology and lattice optimization can be applied in the design of construction equipment components. According to the results, lattice structure optimization can create a reliable lightweight design with good NVH behavior. Furthermore, lattice structure's organization and layout have a significant impact on the overall performance.
Gitterstrukturer har fått mycket uppmärksamhet som cellulära material under de senaste åren på grund av deras enastående egenskaper, t.ex. hög hållfasthet i förhållande till vikt, värmeöverföring, energiabsorption och förmåga att förbättra buller-, vibrations- och bullerskador (NVH-beteende). Denna typ av struktur har fått ett uppsving av tekniken för additiv tillverkning (AM), som kan tillverka geometrier i praktiskt taget vilken form som helst. På grund av ekonomiska och miljömässiga krav används lättviktsdesign i allt större utsträckning inom bilindustrin och byggnadsutrustning. NVH-egenskaperna är en viktig fråga för anläggningsutrustning. De konventionella konstruktionernas NVH-beteende bestäms dock huvudsakligen av massan, vilket innebär att tystnad ofta kräver tunga system, vilket leder till ökad energiförbrukning och större utsläpp. Miljötrenderna och den ekonomiska konkurrens som följer av detta har därför begränsat de traditionella (tunga) lösningarna för att förbättra NVH-egenskaperna och gjort lättviktsdesignen svårare. Nya lösningar är nödvändiga för att lösa svårigheten och utmaningen med att kombinera NVH- och lättviktskrav. I den här forskningen genomfördes topologioptimering på en komponent för en ny ledad transportörtransmission (NAHT) för att balansera lättvikts- och NVH-beteende. Den topologioptimerade 3D-modellen fylldes med en icke-homogen gitterstruktur med optimal gittertäthet via storleksoptimering. Gitterstrukturoptimering är en typ av topologioptimering, och det är termen för att beskriva dessa förfaranden. För att tillverka den komplicerade gitterstrukturen krävs additiv tillverkning (eller 3D-utskrift) (efter topologi- och gitterstrukturoptimering). De nya modellerna analyserades med hjälp av finita elementmetoden (FEM), och resultaten av analysen jämfördes med resultaten av de ursprungliga modellerna. Efter jämförelsen erhölls positiva resultat, vilket visar att optimering av topologi och gitterstruktur kan tillämpas vid utformning av komponenter för byggutrustning. Enligt resultaten kan optimering av gitterstrukturen skapa en tillförlitlig lättviktsdesign med bra NVH-beteende. Dessutom har gitterstrukturens organisering och layout en betydande inverkan på den totala prestandan.
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ASHOK, RAMYA. "A DATABASE SYSTEM TO STORE AND RETRIEVE A CONCEPT LATTICE STRUCTURE." University of Cincinnati / OhioLINK, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1130552767.

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CAPOBIANCO, Silvio. "Structure and invertibility in cellular automata." Doctoral thesis, La Sapienza, 2005. http://hdl.handle.net/11573/917108.

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McConaha, Matthew. "Graded Lattice Structure Density Optimization for Additive Manufacturing." University of Cincinnati / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1523634949822303.

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Downie, Lewis James. "Structure and properties of some triangular lattice materials." Thesis, University of St Andrews, 2014. http://hdl.handle.net/10023/4423.

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This thesis is concerned with the study of two families of materials which contain magnetically frustrated triangular lattices. Each material is concerned with a different use; the first, analogues of YMnO₃, is from a family of materials called multiferroics, the second, A₂MCu₃F₁₂ (where A = Rb¹⁺, Cs¹⁺, M = Zr⁴⁺, Sn⁴⁺, Ti⁴⁺, Hf⁴⁺), are materials which are of interest due to their potentially unusual magnetic properties deriving from a highly frustrated Cu²⁺-based kagome lattice. YFeO₃, YbFeO₃ and InFeO₃ have been synthesised as their hexagonal polymorphs. YFeO₃ and YbFeO₃ have been studied in depth by neutron powder diffraction, A.C. impedance spectroscopy, Mössbauer spectroscopy and magnetometry. It was found that YFeO₃ and YbFeO₃ are structurally similar to hexagonal YMnO₃ but there is evidence for a subtle phase separation in each case. Low temperature magnetic properties are also reported, and subtle correlations between the structural, electrical and magnetic properties of these materials have been found. InFeO₃ was found to adopt a higher symmetry and is structurally similar to the high temperature phase of YMnO₃. TbInO₃ and DyInO₃ have also been synthesised and studied at various temperatures. The phase behaviour of TbInO₃ was analysed in detail using neutron powder diffraction and internal structural changes versus temperature were mapped out – there is also evidence for a subtle isosymmetric phase transition. Neither DyInO₃ nor TbInO₃ show long-range magnetic order between 2 and 300 K, or any signs of ferroelectricity at room temperature. The new compounds Cs₂TiCu₃F₁₂ and Rb₂TiCu₃F₁₂ have both been synthesised and shown to be novel kagome lattice based materials. The former shows a transition from rhombohedral to monoclinic symmetry in the powder form and from rhombohedral to a larger rhombohedral unit cell in the single crystal – a particle size based transition pathway is suggested. For Rb₂TiCu₃F₁₂ a complex triclinic unit cell is found, which distorts with lowering temperature. Both materials show magnetic transitions with lowering temperature. The solid solution Cs₂₋ₓRbₓSnCu₃F₁₂ (x = 0, 0.5, 1.0, 1.5, 2.0) was synthesised and investigated crystallographically, demonstrating a range of behaviours. Rb₂SnCu₃F₁₂ displays a rare re-entrant structural phase transition. In contrast, Cs₀.₅Rb₁.₅SnCu₃F₁₂ shows only the first transition found in the Rb⁺ end member. CsRbSnCu₃F₁₂ adopts a lower symmetry at both room temperature and below. Cs₁.₅Rb₀.₅SnCu₃F₁₂ and Cs₂SnCu₃F₁₂ show a rhombohedral - monoclinic transition, which is similar to that found in Cs₂TiCu₃F₁₂.
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Souvatzis, Petros. "Electronic Structure and Lattice Dynamics of Elements and Compounds." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-8198.

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Misawa, Masaki, Naoki Takada, Hiroshi Yamashita, Shingo Satake, and Kazuhiro Yamamoto. "Lattice Boltzmann simulation on porous structure and soot accumulation." Elsevier, 2006. http://hdl.handle.net/2237/20046.

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Books on the topic "Structure lattice"

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H, Sowa, ed. Cubic structure types described in their space groups with the aid of frameworks. Karlsruhe, [West Germany]: Fachinformationszentrum Energie, Physik, Mathematik, 1985.

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Mitrjushkin, V., and G. Schierholz, eds. Lattice Fermions and Structure of the Vacuum. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4124-6.

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Mitrjushkin, V. Lattice Fermions and Structure of the Vacuum. Dordrecht: Springer Netherlands, 2000.

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V, Mitrjushkin, Schierholz G, and NATO Advanced Research Workshop on Lattice Fermions and Structure of the Vacuum (1999 : Dubna, Chekhovskiĭ raĭon, Russia), eds. Lattice fermions and structure of the vacuum. Dordrecht: Kluwer Academic Publishers, 2000.

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V, Mitrjushkin, Schierholz G, and NATO Advanced Research Workshop on Lattice Fermions and Structure of the Vacuum (1999 : Dubna, Chekhovskiĭ raĭon, Russia), eds. Lattice fermions and structure of the vacuum. Dordrecht: Kluwer Academic Publishers, 2000.

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Stokes, Finn M. Structure of Nucleon Excited States from Lattice QCD. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-25722-4.

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Akademii͡a nauk SSSR. I͡Akutskiĭ nauchnyĭ t͡sentr. Otdel prikladnoĭ matematiki i vychislitelʹnoĭ tekhniki, ed. Matematicheskie metody sinteza mnogosloĭnykh struktur pri vozdeĭstvii voln. I͡Akutsk: I͡Akutskiĭ nauchnyĭ t͡sentr SO AN SSSR, 1990.

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Nhani, José L. Marcolino. La structure des sous-espaces de treillis. Warszawa: Polska Akademia Nauk, Instytut Matematyczny, 2001.

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Cook, Norman D. Models of the Atomic Nucleus: Unification through a lattice of nucleons. 2nd ed. Berlin: Springer Verlag, 2010.

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Educational Resources Information Center (U.S.), ed. Quantifying the characteristics of knowledge structure representations: A lattice-theoretic framework. Los Angeles, CA: Center for the Study of Evaluation, National Center for Research on Evaluation, Standards, and Student Testing, Graduate School of Education & Information Studies, University of California, Los Angeles, 1998.

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Book chapters on the topic "Structure lattice"

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Massa, Werner. "The Reciprocal Lattice." In Crystal Structure Determination, 27–31. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-04248-9_4.

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Massa, Werner. "The Reciprocal Lattice." In Crystal Structure Determination, 27–31. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06431-3_4.

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Xu, Yang, Keyun Qin, Da Ruan, and Jun Liu. "Topological Structure of Filter Spaces." In Lattice-Valued Logic, 135–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-44847-1_6.

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Gattringer, Christof, and Christian B. Lang. "Hadron structure." In Quantum Chromodynamics on the Lattice, 267–99. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-01850-3_11.

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Vainshtein, Boris K., Vladimir M. Fridkin, and Vladimir L. Indenbom. "Lattice Dynamics and Phase Transitions." In Structure of Crystals, 289–329. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-97512-7_4.

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Glass, A. M. W., and W. Charles Holland. "Homomorphisms, Prime Subgroups, Values and Structure Theorems." In Lattice-Ordered Groups, 11–22. Dordrecht: Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2283-9_2.

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Krüger, Timm, Halim Kusumaatmaja, Alexandr Kuzmin, Orest Shardt, Goncalo Silva, and Erlend Magnus Viggen. "Boundary Conditions for Fluid-Structure Interaction." In The Lattice Boltzmann Method, 433–91. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-44649-3_11.

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Can, K. U., A. Kusno, E. V. Mastropas, and J. M. Zanotti. "Hadron Structure on the Lattice." In Lattice QCD for Nuclear Physics, 69–105. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08022-2_3.

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Phan-Luong, V., T. TPham, and R. Jeansoulin. "Integrating Information under Lattice Structure." In Lecture Notes in Computer Science, 83–87. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39592-8_12.

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Strauch, D. "C: crystal structure, lattice parameters." In New Data and Updates for IV-IV, III-V, II-VI and I-VII Compounds, their Mixed Crystals and Diluted Magnetic Semiconductors, 282. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-14148-5_156.

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Conference papers on the topic "Structure lattice"

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Tang, Tsz Ling Elaine, Yan Liu, Da Lu, Erhan Batuhan Arisoy, and Suraj Musuvathy. "Lattice Structure Design Advisor for Additive Manufacturing Using Gaussian Process." 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/detc2017-67282.

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Additive manufacturing (AM) exemplifies the potential of lattice structures to revolutionize structural design. It enables light weight lattice structures to be produced while maintaining the desirable structural performance. Lattice design can vary in different shapes and dimensions. Obtaining the structural performance of a particular lattice structure design is not a straight-forward process. Significant effort is required to perform mechanical testing experiments or to perform finite element analysis (FEA) to characterize the lattice design. In view of that, a guidance system to determine lattice design parameters based on desired functional performance for a specific lattice type is developed, which can be used in interactive design processes and workflows. Homogenization using FEA experiments is applied to characterize the macroscopic lattice structural properties. Mechanical properties of orthotropic cubic lattice f2ccz are estimated. It follows with a design of experiment study to characterize the effective structural properties of 39 lattices with respect to lattice design parameters (unit cell length and strut diameter). A Gaussian process is applied to develop models relating the lattice design parameter to macroscopic structural properties (forward model), and vice versa (inverse model). Both the forward and inverse models are examined and shown to be capable of modeling the FEA experimental dataset of 39 lattices. To illustrate the potential application of the lattice design advisor framework, a structural design use case including lattice part is presented. In the use case, the lattice structure design advisor is proven to be able to estimate an accurate homogenized material property of arbitrary lattice design parameter. This lattice structure design advisor can simplify and streamline the design, modeling and simulation process of lattice-filled structural designs.
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Chen, Jiangce, Martha Baldwin, Sneha Narra, and Christopher McComb. "Multi-Lattice Topology Optimization With Lattice Representation Learned by Generative Models." In ASME 2024 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2024. http://dx.doi.org/10.1115/detc2024-145592.

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Abstract Additive manufacturing (AM) technologies are often capable of fabricating geometries that are more complex than traditional manufacturing methods. A notable innovation enabled by AM is the fabrication of multi-lattice structures, an advanced design concept featuring an array of heterogeneous lattices in the mesoscale that are arranged to achieve a diverse distribution of material properties at the macroscale. Compared to uniform lattice structures, multi-lattice structures permit greater design freedom and a larger design space, which makes it possible to achieve superior structure performance. However, the expanded design space introduces a substantial increase in the complexity of multi-lattice structure design. There is still lack of an optimization framework that can maximize the physical properties of the macro-structures through fully exploiting lattice diversity while ensuring lattice connectivity. To solve these challenges, this paper introduces a multi-scale topology optimization (TO) framework for multi-lattice structures which simultaneously optimizes the structure topology at macroscale and the lattice heterogeneity at mesoscale. The distribution of the pseudo-densities and lattice parameters are represented by neural networks (NNs) whose weights and biases are the design variables. The spatial gradients of NN over the physical domain reflect the dissimilarity of adjacent lattices. So, the connection between the lattices can be implicitly constrained by restricting the spatial gradients of NNs. The diversity of the lattices is guaranteed through a generative lattice model which is trained over a large lattice dataset and is embedded into the optimization framework. The performances of various NN types are compared, and we found that Fourier Neural Operators (FNOs) have the best flexibility in balancing the lattice diversity and local connectivity. In the design problems of structural compliance minimization under complex loading conditions, our results show that the multi-lattice TO structures achieve a higher stiffness-to-weight ratio than normal TO structures.
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Syritsyn, Sergey. "Hadron Structure Review." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0009.

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Liu, Lingyun, Yizhou Liao, and Shuming Gao. "Stress Field Guided Lattice Structure Design Based on Hexahedral Mesh." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97248.

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Abstract Lattice structures are promising for a wide range of applications. The development of additive manufacturing (AM) technology has made it possible to manufacture complex structures. However, designing the optimal lattices of complex solid models efficiently and automatically remains a challenge. Thus, we propose a novel stress-field-guided lattice design method to improve the mechanical properties of a lattice structure. Stress field is used to make the boundary struts of each cell of a lattice structure aligning to the principal stress direction while remaining conformal. Hierarchical cell templates are designed to reduce the computational burden of the cell optimization of a lattice structure. The proposed method is verified experimentally, and the experimental results prove the efficiency and validity of the proposed method.
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Najjar, Johannes, Gunnar Bali, Sara Collins, Benjamin Glaessle, Meinulf Goeckeler, Rudolf Heinrich Roedl, Andreas Schafer, Andre Sternbeck, and Wolfgang Soeldner. "Nucleon structure from stochastic estimators." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0271.

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Javadi-Motaghi, Narjes, Gunnar Bali, Sara Collins, Benjamin Glaessle, Meinulf Goeckeler, Johannes Najjar, Wolfgang Soeldner, and Andre Sternbeck. "Pion structure from lattice QCD." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0447.

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Menadue, Ben, Waseem Kamleh, Derek Leinweber, Md Selim Mahbub, and Benjamin Owen. "Electromagnetic Structure of the $\Lambda(1405)$." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0280.

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Alexandrou, Constantia, Martha Constantinou, Vincent Drach, Karl Jansen, Christos Kallidonis, and Giannis Koutsou. "Nucleon structure with twisted mass fermions." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0292.

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Hathcock, Megan, Bogdan Popa, and Kon-Well Wang. "Continuous Dirac Cone Evolution in Modulated Phononic Crystal." In ASME 2022 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/imece2022-95839.

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Abstract Dirac cones in the band structures of highly symmetric phononic crystal lattices have been extensively studied to produce unique acoustic phenomena. Traditionally, these interesting phenomena produced by Dirac cones occur at fixed frequencies, which cannot be adapted unless significant lattice material or geometric changes occur. To create tunable phononic structures, researchers have successfully utilized Miura-origami to modulate phononic inclusions between discrete high symmetry Bravais lattice configurations. However, the origami transformation between Bravais lattices is a continuous process, meaning that between the high symmetry Bravais lattices, the structure will transform into low symmetry lattices, which are largely unexplored. In this work, we study the perturbation of a hexagonal phononic lattice away from high symmetry. Interestingly, we see the Dirac cone at the K point of the Brillouin zone for the hexagonal lattice persist through the lattice modulation, despite loss of symmetry. Using this insight, we propose an origami phononic structure capable of continuous adjustment and refinement of Dirac cone frequency. Ultimately, we demonstrate continuous Dirac cone modulation for beam forming with the proposed origami phononic structure.
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Zanotti, James, Roger Horsley, Ashley Cooke, Yoshifumi Nakamura, Dirk Pleiter, Paul E. L. Rakow, Phiala Shanahan, Gerrit Schierholz, and Hinnerk Stuben. "SU(3) flavour breaking and baryon structure." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Trieste, Italy: Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0278.

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Reports on the topic "Structure lattice"

1

Liu, Keh-Fei, and Terrence Draper. Lattice QCD Calculation of Nucleon Structure. Office of Scientific and Technical Information (OSTI), August 2016. http://dx.doi.org/10.2172/1323029.

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Braun, D. W., G. W. Crabtree, H. G. Kaper, G. K. Leaf, D. M. Levine, V. M. Vinokur, and A. E. Koshelev. The structure of a moving vortex lattice. Office of Scientific and Technical Information (OSTI), November 1995. http://dx.doi.org/10.2172/179299.

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Williams, James H., Nagem Jr., and Raymond J. Computation of Natural Frequencies of Planar Lattice Structure. Fort Belvoir, VA: Defense Technical Information Center, March 1987. http://dx.doi.org/10.21236/ada185387.

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Hart, W. E., and S. Istrail. Lattice and off-lattice side chain models of protein folding: Linear time structure prediction better than 86% of optimal. Office of Scientific and Technical Information (OSTI), August 1996. http://dx.doi.org/10.2172/425317.

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David Richards, Colin Morningstar, John Negele, Konstantinos Orginos, and Martin Savage. Nuclear Physics from Lattice QCD: The Spectrum, Structure and Interactions of Hadrons. Office of Scientific and Technical Information (OSTI), February 2007. http://dx.doi.org/10.2172/899162.

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Singh, David J., and I. I. Mazin. Experimental Evidence for Nematic Order of Cuprates in Relation to Lattice Structure. Fort Belvoir, VA: Defense Technical Information Center, July 2010. http://dx.doi.org/10.21236/ada524031.

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Leemann, B., and E. Forest. Systematic study of the dependence of lattice dynamics on cell structure parameters. Office of Scientific and Technical Information (OSTI), March 1987. http://dx.doi.org/10.2172/6813269.

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BLUM, T., D. BOER, M. CREUTZ, S. OHTA, and K. ORGINOS. PROCEEDINGS OF RIKEN BNL RESEARCH CENTER WORKSHOP, HADRON STRUCTURE FROM LATTICE QCD, MARCH 18 - 22, 2002, BROOKHAVEN NATIONAL LABORATORY. Office of Scientific and Technical Information (OSTI), March 2002. http://dx.doi.org/10.2172/803412.

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Segletes, Steven B. Application of Force and Energy Approaches to the Problem of a One-Dimensional, Fully Connected, Nonlinear-Spring Lattice Structure. Fort Belvoir, VA: Defense Technical Information Center, August 2015. http://dx.doi.org/10.21236/ada626102.

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Fry, A. T., L. E. Crocker, M. J. Lodeiro, M. Poole, P. Woolliams, A. Koko, N. Leung, D. England, and C. Breheny. Tensile property measurement of lattice structures. National Physical Laboratory, July 2023. http://dx.doi.org/10.47120/npl.mat119.

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