Academic literature on the topic 'Bouligand'

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Journal articles on the topic "Bouligand"

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Busaniche, Manuela, and Daniele Mundici. "Bouligand." Revista Matemática Iberoamericana 30, no. 1 (2014): 191–201. http://dx.doi.org/10.4171/rmi/774.

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Natarajan, Bharath, and Jeffrey W. Gilman. "Bioinspired Bouligand cellulose nanocrystal composites: a review of mechanical properties." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2112 (December 25, 2017): 20170050. http://dx.doi.org/10.1098/rsta.2017.0050.

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The twisted plywood, or Bouligand, structure is the most commonly observed microstructural motif in natural materials that possess high mechanical strength and toughness, such as that found in bone and the mantis shrimp dactyl club. These materials are isotropically toughened by a low volume fraction of soft, energy-dissipating polymer and by the Bouligand structure itself, through shear wave filtering and crack twisting, deflection and arrest. Cellulose nanocrystals (CNCs) are excellent candidates for the bottom-up fabrication of these structures, as they naturally self-assemble into ‘chiral nematic’ films when cast from solutions and possess outstanding mechanical properties. In this article, we present a review of the fabrication techniques and the corresponding mechanical properties of Bouligand biomimetic CNC nanocomposites, while drawing comparison to the performance standards set by tough natural composite materials. This article is part of a discussion meeting issue ‘New horizons for cellulose nanotechnology’.
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Suksangpanya, Nobphadon, Nicholas A. Yaraghi, David Kisailus, and Pablo Zavattieri. "Twisting cracks in Bouligand structures." Journal of the Mechanical Behavior of Biomedical Materials 76 (December 2017): 38–57. http://dx.doi.org/10.1016/j.jmbbm.2017.06.010.

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Odin, Giliane P., Maria E. McNamara, Hans Arwin, and Kenneth Järrendahl. "Experimental degradation of helicoidal photonic nanostructures in scarab beetles (Coleoptera: Scarabaeidae): implications for the identification of circularly polarizing cuticle in the fossil record." Journal of The Royal Society Interface 15, no. 148 (November 2018): 20180560. http://dx.doi.org/10.1098/rsif.2018.0560.

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Scarab beetles (Coleoptera: Scarabaeidae) can exhibit striking colours produced by pigments and/or nanostructures. The latter include helicoidal (Bouligand) structures that can generate circularly polarized light. These have a cryptic evolutionary history in part because fossil examples are unknown. This suggests either a real biological signal, i.e. that Bouligand structures did not evolve until recently, or a taphonomic signal, i.e. that conditions during the fossilization process were not conducive to their preservation. We address this issue by experimentally degrading circularly polarizing cuticle of modern scarab beetles to test the relative roles of decay, maturation and taxonomy in controlling preservation. The results reveal that Bouligand structures have the potential to survive fossilization, but preservation is controlled by taxonomy and the diagenetic history of specimens. Further, cuticle of specific genus ( Chrysina ) is particularly decay-prone in alkaline conditions; this may relate to the presence of certain compounds, e.g. uric acid, in the cuticle of these taxa.
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Qin, Xin, Benjamin C. Marchi, Zhaoxu Meng, and Sinan Keten. "Impact resistance of nanocellulose films with bioinspired Bouligand microstructures." Nanoscale Advances 1, no. 4 (2019): 1351–61. http://dx.doi.org/10.1039/c8na00232k.

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Olson, Eric. "Bouligand dimension and almost Lipschitz embeddings." Pacific Journal of Mathematics 202, no. 2 (February 1, 2002): 459–74. http://dx.doi.org/10.2140/pjm.2002.202.459.

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Cölfen, Helmut. "Emerging artificial Bouligand-type structural materials." National Science Review 5, no. 6 (September 10, 2018): 786–87. http://dx.doi.org/10.1093/nsr/nwy100.

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Charvolin, Jean, and Jean-François Sadoc. "About collagen, a tribute to Yves Bouligand." Interface Focus 2, no. 5 (May 2, 2012): 567–74. http://dx.doi.org/10.1098/rsfs.2012.0014.

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Yves Bouligand's analysis of the organizations of biological materials in relation to those of liquid crystals enabled the development of the idea that physical forces exerting their actions under strong spatial constraints determine the structures and morphologies of these materials. The different levels of organization in collagen have preoccupied him for a long time. We present here our recent works in this domain that we were still discussing with him a few months before his death at the age of 76 on 21 January 2011. After recalling the hierarchical set of structures built by collagen molecules, we analyse them, exploiting the properties of the curved space of the hypersphere and of the algorithm of phyllotaxis. Those two geometrical concepts can be proposed as structural archetypes founding the polymorphism of this complex material of biological origin.
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IMRE, ATTILA R., and LÁSZLÓ BALÁZS. "FRACTAL BEHAVIOR OF TREE-LIKE NICKEL AND COBALT ELECTRODEPOSITS." Fractals 08, no. 04 (December 2000): 349–53. http://dx.doi.org/10.1142/s0218348x00000445.

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Fractal dimensions (exterior Minkowski-Bouligand and box dimensions) for nickel and cobalt metal trees (electrodeposits) were determined. These trees usually exhibit fractal characteristic in the 30–1000 micrometer range with fractal dimensions strongly depending on the initial metal-ion concentration of the electrolyte.
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Wu, Kaijin, Zhaoqiang Song, Shuaishuai Zhang, Yong Ni, Shengqiang Cai, Xinglong Gong, Linghui He, and Shu-Hong Yu. "Discontinuous fibrous Bouligand architecture enabling formidable fracture resistance with crack orientation insensitivity." Proceedings of the National Academy of Sciences 117, no. 27 (June 22, 2020): 15465–72. http://dx.doi.org/10.1073/pnas.2000639117.

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Bioinspired architectural design for composites with much higher fracture resistance than that of individual constituent remains a major challenge for engineers and scientists. Inspired by the survival war between the mantis shrimps and abalones, we design a discontinuous fibrous Bouligand (DFB) architecture, a combination of Bouligand and nacreous staggered structures. Systematic bending experiments for 3D-printed single-edge notched specimens with such architecture indicate that total energy dissipations are insensitive to initial crack orientations and show optimized values at critical pitch angles. Fracture mechanics analyses demonstrate that the hybrid toughening mechanisms of crack twisting and crack bridging mode arising from DFB architecture enable excellent fracture resistance with crack orientation insensitivity. The compromise in competition of energy dissipations between crack twisting and crack bridging is identified as the origin of maximum fracture energy at a critical pitch angle. We further illustrate that the optimized fracture energy can be achieved by tuning fracture energy of crack bridging, pitch angles, fiber lengths, and twist angles distribution in DFB composites.
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Dissertations / Theses on the topic "Bouligand"

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Muzhani, Alfons. "la soluzione di perron-wiener del problema di dirichlet." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020.

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La tesi verte su un lavoro inerente alcune soluzioni del problema di Dirichlet. Verranno esposte in partciolare la soluzione di quest'ultimo sulla palla Euclidea e attraverso il metodo di Perron. Si concluderà con delle considerazioni sul comportamento della soluzione del problema sul bordo.
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Zakaryan, Taron. "Contribution à l'analyse variationnelle : stabilité des cônes tangents et normaux et convexité des ensembles de Chebyshev." Thesis, Dijon, 2014. http://www.theses.fr/2014DIJOS073/document.

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Le but de cette thèse est d'étudier les trois problèmes suivantes : 1) On s'intéresse à la stabilité des cônes normaux et des sous-différentiels via deux types de convergence d'ensembles et de fonctions : La convergence au sens de Mosco et celle d'Attouch-Wets. Les résultats obtenus peuvent être vus comme une extension du théorème d'Attouch aux fonctions non nécessairement convexes sur des espaces de Banach localement uniformément convexes. 2) Pour une bornologie β donnée sur un espace de Banach X, on étudie la validité de la formule suivante (…). Ici Tβ(C; x) et Tc(C; x) désignent le β -cône tangent et le cône tangent de Clarke à C en x. On montre que si, X x X est ∂β-« trusted » alors cette formule est valable pour tout ensemble fermé non vide C ⊂ X et x ∈ C. Cette classe d'espaces contient les espaces ayant une norme équivalent β-différentiable, etplus généralement les espaces possédant une fonction "bosse" lipschitzienne et β-différentiable). Comme conséquence, on obtient que pour la bornologie de Fréchet, cette formule caractérise les espaces d'Asplund. 3) On examine la convexité des ensembles de Chebyshev. Il est bien connu que, dans un espace normé réflexif ayant la propriété Kadec-Klee, tout ensemble de Chebyshev faiblement fermé est convexe. On démontre que la condition de faible fermeture peut être remplacée par la fermeture faible locale, c'est-à-dire pour tout x ∈ C il existe ∈ > 0 tel que C ∩ B(x, ε) est faiblement fermé. On montre aussi que la propriété Kadec-Klee n'est plus exigée lorsque l'ensemble de Chebyshev est représenté comme une union d'ensembles convexes fermés
The aim of this thesis is to study the following three problems: 1) We are concerned with the behavior of normal cones and subdifferentials with respect to two types of convergence of sets and functions: Mosco and Attouch-Wets convergences. Our analysis is devoted to proximal, Fréchet, and Mordukhovich limiting normal cones and subdifferentials. The results obtained can be seen as extensions of Attouch theorem to the context of non-convex functions on locally uniformly convex Banach space. 2) For a given bornology β on a Banach space X we are interested in the validity of the following "lim inf" formula (…).Here Tβ(C; x) and Tc(C; x) denote the β-tangent cone and the Clarke tangent cone to C at x. We proved that it holds true for every closed set C ⊂ X and any x ∈ C, provided that the space X x X is ∂β-trusted. The trustworthiness includes spaces with an equivalent β-differentiable norm or more generally with a Lipschitz β-differentiable bump function. As a consequence, we show that for the Fréchet bornology, this "lim inf" formula characterizes in fact the Asplund property of X. 3) We investigate the convexity of Chebyshev sets. It is well known that in a smooth reflexive Banach space with the Kadec-Klee property every weakly closed Chebyshev subset is convex. We prove that the condition of the weak closedness can be replaced by the local weak closedness, that is, for any x ∈ C there is ∈ > 0 such that C ∩ B(x, ε) is weakly closed. We also prove that the Kadec-Klee property is not required when the Chebyshev set is represented by a finite union of closed convex sets
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Constantin, Elena. "Optimization and flow invariance via high order tangent cones." Ohio : Ohio University, 2005. http://www.ohiolink.edu/etd/view.cgi?ohiou1125418579.

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Books on the topic "Bouligand"

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Din, Gilbert C. Francisco Bouligny: A Bourbon soldier in Spanish Louisiana. Baton Rouge: Louisiana State University Press, 1993.

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Pérez, Remedios Palencia. Francisco Bouligny: Un alicantino en la colonización de Luisiana. Alicante: Instituto Alicantino de Cultura Juan Gil-Albert, Diputación Provincial de Alicante, 2007.

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Pérez, Remedios Palencia. Francisco Bouligny: Un alicantino en la colonización de Luisiana. Alicante: Instituto Alicantino de Cultura Juan Gil-Albert, Diputación Provincial de Alicante, 2007.

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Martin, Fontaine. A history of the Bouligny family and allied families. Lafayette, La: Center for Louisiana Studies, University of Southwestern Louisiana, 1990.

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Conference papers on the topic "Bouligand"

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Pinto, F., O. Iervolino, G. Scarselli, D. Ginzburg, and M. Meo. "Bioinspired twisted composites based on Bouligand structures." In SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, edited by Raúl J. Martín-Palma, Akhlesh Lakhtakia, and Mato Knez. SPIE, 2016. http://dx.doi.org/10.1117/12.2219088.

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Horvath, Roman. "Empirical Study of Minkowski–Bouligand and Hausdorff–Besicovitch Dimensions of Fractal Curves." In 2019 17th International Conference on Emerging eLearning Technologies and Applications (ICETA). IEEE, 2019. http://dx.doi.org/10.1109/iceta48886.2019.9040005.

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Rossales, Isabela, and Maximiliam Luppe. "Architecture for fractal dimension estimation based on Minkowski-Bouligand method using integer distances." In 2016 IEEE 27th International Conference on Application-specific Systems, Architectures and Processors (ASAP). IEEE, 2016. http://dx.doi.org/10.1109/asap.2016.7760803.

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Florindo, Joao. "Singular spectrum decomposition of Bouligand-Minkowski fractal descriptors: an application to the classification of texture Images." In Tenth International Conference on Machine Vision (ICMV 2017), edited by Jianhong Zhou, Petia Radeva, Dmitry Nikolaev, and Antanas Verikas. SPIE, 2018. http://dx.doi.org/10.1117/12.2309553.

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Machado, Bruno Brandoli, and Jose Fernando Rodrigues Junior. "Texture analysis using complex system models: fractal dimension, swarm systems and non-linear diffusion." In XXX Concurso de Teses e Dissertações da SBC. Sociedade Brasileira de Computação - SBC, 2017. http://dx.doi.org/10.5753/ctd.2017.3457.

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Texture is one of the primary visual features used to computationally describe the patterns found in nature. Existing computational methods, however, do not successfully discriminate the complexity of texture patterns. Such methods disregard the possibility of describing images by benefiting from the complex systems properties that are characteristic to textures. To do so, we created approaches based on the Bouligand-Minkowski fractal dimension, swarm-system Artificial Crawlers, and non-linear diffusion of Perona-Malik, techniques that led to methodologies with efficacy and efficiency comparable to the state-ofthe-art. The results achieved in the four methodologies described in this work demonstrated the validity and the potential of our hypothesis in tasks of pattern recognition. The contributions of our methodologies shall support advances in materials engineering, computer vision, and agriculture.
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Liu, Yong, Hailun Lin, Lizhong Ding, Weiping Wang, and Shizhong Liao. "Fast Cross-Validation." In Twenty-Seventh International Joint Conference on Artificial Intelligence {IJCAI-18}. California: International Joint Conferences on Artificial Intelligence Organization, 2018. http://dx.doi.org/10.24963/ijcai.2018/346.

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Cross-validation (CV) is the most widely adopted approach for selecting the optimal model. However, the computation of CV has high complexity due to multiple times of learner training, making it disabled for large scale model selection. In this paper, we present an approximate approach to CV based on the theoretical notion of Bouligand influence function (BIF) and the Nystr\"{o}m method for kernel methods. We first establish the relationship between the theoretical notion of BIF and CV, and propose a method to approximate the CV via the Taylor expansion of BIF. Then, we provide a novel computing method to calculate the BIF for general distribution, and evaluate BIF for sample distribution. Finally, we use the Nystr\"{o}m method to accelerate the computation of the BIF matrix for giving the finally approximate CV criterion. The proposed approximate CV requires training only once and is suitable for a wide variety of kernel methods. Experimental results on lots of datasets how that our approximate CV has no statistical discrepancy with the original CV, but can significantly improve the efficiency.
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