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Substructure-Based Topology Optimization for Symmetric Hierarchical Lattice Structures

Zijun Wu, Renbin Xiao
2020 Symmetry  
This work presents a topology optimization method for symmetric hierarchical lattice structures with substructuring.  ...  In this method, we define two types of symmetric lattice substructures, each of which contains many finite elements.  ...  Acknowledgments: The authors acknowledged the editor and reviewers for their very insightful comments, which resulted in substantial improvements of our paper.  ... 
doi:10.3390/sym12040678 fatcat:skaal3ahjvfdnetruntcjgvemq

Plastic collapse of cylindrical shell-plate periodic honeycombs under uniaxial compression: experimental and numerical analyses

Qiang Chen, Quan Shi, Stefano Signetti, Fangfang Sun, Zhiyong Li, Feipeng Zhu, Siyuan He, Nicola M. Pugno
2016 International Journal of Mechanical Sciences  
The work presents a concept to optimize lattice structures by combining different substructures, and can be used in designing new low-density honeycomb structures with desired mechanical requirements but  ...  less base materials and weight.  ...  This strategy may be used to generate new lattices for enhanced crashworthy structures. Table 1 .  ... 
doi:10.1016/j.ijmecsci.2016.03.020 fatcat:v6nugpqwcraw3bar3obhruiymi

Domain Boundary Detection in Hi-C Maps: A Probabilistic Graphical Model Approach [article]

Andreas Hofmann, Fatema Zahra Rashid, Frédéric Crémazy, Remus T. Dame, Dieter W. Heermann
2019 arXiv   pre-print
These experiments yield topological information, consistently showing a hierarchical subdivision of the genome into self-interacting domains across many organisms.  ...  For overcoming this simplification and for being able to unravel a possible nested domain structure, we developed a probabilistic graphical model that makes no a priori assumptions on the domain structure  ...  Acknowledgments We would like to thank Remus Dame for the very stimulating discussions.  ... 
arXiv:1703.03656v2 fatcat:6rc4kz642zfhrj7ql64jsxffhq

Ultra-light hierarchical meta-materials on a body-centred cubic lattice

Daniel Rayneau-Kirkhope, Yong Mao, Robert Farr
2017 Europhysics letters  
In this letter, we propose a new class of meta-material, constructed from fractal or hierarchical struts linking a specific set of lattice points.  ...  For example, fractal/hierarchical struts have been shown to be exceptionally strong and yet light (Rayneau-Kirkhope D. et al., Phys. Rev. Lett., 109 (2012) 204301).  ...  In the fourth section, we combine the results of the two previous sections to establish the elastic limit of our lattice based meta-material with hierarchical linkages for various directions of applied  ... 
doi:10.1209/0295-5075/119/14001 fatcat:xfe6xrjqgfgnvjrulv2fxtncb4

Mastering the complexity of DNA nanostructures

Marco Brucale, Giampaolo Zuccheri, Bruno Samorì
2006 Trends in Biotechnology  
This article focuses on recent developments in this area of research and proposes a classification of DNA nanostructures based on topological considerations in addition to describing strategies for tackling  ...  Taking advantage of the steadily expanding library of well-characterized DNA motifs, several examples of structures with different dimensionalities have appeared in the literature in the past few years  ...  This strategy must be based on the design of structures with different, non-overlapping ranges of thermal stability corresponding to different hierarchic levels.  ... 
doi:10.1016/j.tibtech.2006.02.009 pmid:16542743 fatcat:5itney7sira2tbbieyyipmfp6i

Advances in diversity profiling and combinatorial series design [chapter]

Dimitris K. Agrafiotis, James C. Myslik, F. Raymond Salemme
1999 Annual Reports in Combinatorial Chemistry and Molecular Diversity  
Three-dimensional descriptors 3D structural keys Geometric structural keys are direct analogues of topological (two-dimensional) substructure keys in three dimensions.  ...  Clustering algorithms may be classified as hierarchical or non-hierarchical based on the way in which the clusters are formed.  ... 
doi:10.1007/978-94-017-0735-0_9 fatcat:gyw3bjjowracte76rdbnaor5hi

Network Theory Tools for RNA Modeling

Namhee Kim, Louis Petingi, Tamar Schlick
2013 WSEAS Transactions on Mathematics  
By using vertices and edges to define RNA secondary structures as tree and dual graphs, we can enumerate, predict, and design RNA topologies.  ...  An introduction into the usage of graph or network theory tools for the study of RNA molecules is presented.  ...  This graph-based hierarchical model is being tested on a set of known 3D structures, and shows promise for predicting large RNA structures.  ... 
pmid:25414570 pmcid:PMC4235620 fatcat:olt7kbyxu5frpfunqs6vjrbzoy

Universal Architectural Concepts Underlying Protein Folding Patterns

Arun S. Konagurthu, Ramanan Subramanian, Lloyd Allison, David Abramson, Peter J. Stuckey, Maria Garcia de la Banda, Arthur M. Lesk
2021 Frontiers in Molecular Biosciences  
Using information-theoretic inference, we answer this question with a dictionary of 1,493 substructures—called concepts—typically at a subdomain level, based on an unbiased subset of known protein structures  ...  ab initio structure prediction methods; and information supporting the recognition and exploration of evolutionary relationships, useful for structural studies.  ...  AL thanks the Medical Research Council Laboratory of Molecular Biology for their hospitality during his sabbatical year. We thank Sureshkumar Balasubramanian for proofreading this work.  ... 
doi:10.3389/fmolb.2020.612920 pmid:33996891 pmcid:PMC8120156 fatcat:jkpq2yd6aze2fm7zhkelvkzibi

Efficient Physical Embedding of Topologically Complex Information Processing Networks in Brains and Computer Circuits

Danielle S. Bassett, Daniel L. Greenfield, Andreas Meyer-Lindenberg, Daniel R. Weinberger, Simon W. Moore, Edward T. Bullmore, Karl J. Friston
2010 PLoS Computational Biology  
We show that human brain structural networks, and the nervous system of the nematode C. elegans, also obey Rent's rule, and exhibit some degree of hierarchical modularity.  ...  For each of these fractal modular networks, the dimensionality of the interconnect topology was greater than the 2 or 3 Euclidean dimensions of the space in which it was embedded.  ...  Acknowledgments We thank Olaf Sporns for giving us access to the human diffusion spectrum imaging data used in this work and Marcus Kaiser for making the C. elegans neuronal network data freely available  ... 
doi:10.1371/journal.pcbi.1000748 pmid:20421990 pmcid:PMC2858671 fatcat:fy4wam22cbalziutjsyx2prfje

Component-wise reduced order model lattice-type structure design [article]

Sean McBane, Youngsoo Choi
2020 arXiv   pre-print
Lattice-type structures can provide a combination of stiffness with light weight that is desirable in a variety of applications.  ...  Design optimization of these structures must rely on approximations of the governing physics to render solution of a mathematical model feasible.  ...  Lawrence Livermore National Laboratory is operated by Lawrence Livermore National Security, LLC, for the U.S.  ... 
arXiv:2010.10770v1 fatcat:jti4mecywfazhjakknuryosez4

Dependency Structure Matrix, Genetic Algorithms, and Effective Recombination

Tian-Li Yu, David E. Goldberg, Kumara Sastry, Claudio F. Lima, Martin Pelikan
2009 Evolutionary Computation  
Technically, this paper develops an automated dependency structure matrix clustering technique and utilizes it to design a model-building genetic algorithm that learns and delivers the problem structure  ...  Scientifically, the explicit interaction model describes the problem structure very well and helps researchers gain important insights through the explicitness of the procedure.  ...  Portuguese Foundation for Science and Technology under grants SFRH/BD/16980/2004 and PTDC/EIA/67776/2006.  ... 
doi:10.1162/evco.2009.17.4.17409 pmid:19916779 fatcat:reozd4525nhj7i5zg2fdx7f55m

Structure-aware shape processing

Niloy J. Mitra, Michael Wand, Hao Zhang, Daniel Cohen-Or, Vladimir Kim, Qi-Xing Huang
2014 ACM SIGGRAPH 2014 Courses on - SIGGRAPH '14  
A whole new line of structure-aware shape processing algorithms has emerged that base their operation on an attempt to understand such structure in shapes with an eventual goal of linking object functions  ...  The algorithms broadly consist of two key phases: an analysis phase, which extracts structural information from input data; and a (smart) processing phase, which utilizes the extracted information for  ...  In a follow-up, Zhang et al. [2013] define an explicit optimization objective based symmetry maximization and apply the optimization framework for hierarchical and layered analysis of irregular facades  ... 
doi:10.1145/2614028.2615401 dblp:conf/siggraph/MitraWZCKH14 fatcat:zxdl3vqra5e6jfiqfqnguqg234

Structure-aware shape processing

Niloy Mitra, Michael Wand, Hao (Richard) Zhang, Daniel Cohen-Or, Vladimir Kim, Qi-Xing Huang
2013 SIGGRAPH Asia 2013 Courses on - SA '13  
A whole new line of structure-aware shape processing algorithms has emerged that base their operation on an attempt to understand such structure in shapes with an eventual goal of linking object functions  ...  The algorithms broadly consist of two key phases: an analysis phase, which extracts structural information from input data; and a (smart) processing phase, which utilizes the extracted information for  ...  In a follow-up, Zhang et al. [2013] define an explicit optimization objective based symmetry maximization and apply the optimization framework for hierarchical and layered analysis of irregular facades  ... 
doi:10.1145/2542266.2542267 dblp:conf/siggraph/MitraWZCKH13 fatcat:7r6aijrrcvhzzo7eaxnkpzqcje

Individual Roles of Network and Sheet Solids in Architectured Porous Materials

Nan Yang, Siping Fan, Juncheng Zhuang, Yubo Zhang, Zheng Qian
2022 Frontiers in Physics  
This can directly guide the porous materials design for use in tissue engineering and aerospace.  ...  To understand the different roles played by sheet solids and network solids in complex porous biomaterials/native tissues, we designed a new kind of nature-inspired structure comprising these two solids  ...  for TPMS lattices.  ... 
doi:10.3389/fphy.2022.892525 doaj:26b1959932e24dd3884cf70bf5271217 fatcat:nhpsjj6e5jg2nbvvv3xyi76v5q

Hierarchical microstructures self-assembled from polymer systems

Liquan Wang, Jiaping Lin, Xu Zhang
2013 Polymer  
hierarchical structures, and where the future opportunities are.  ...  The polymer systems for the hierarchical microstructures are concentrated on multiblock copolymers and polymer blends with/without non-covalent bonding interactions.  ...  This results in coreeshell or alternative hierarchical microstructures, where the substructures are arranged along the linear topology of the terpolymers [29e32].  ... 
doi:10.1016/j.polymer.2013.03.054 fatcat:isjyegmbwbfzvl2t4qn25ifpdi
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