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Journal articles on the topic 'Bouligand'

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Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

An, Yumin, Yi Yang, Yongna Jia, Wenbo Han, and Yehong Cheng. "Mechanical properties of biomimetic ceramic with Bouligand architecture." Journal of the American Ceramic Society 105, no. 4 (December 9, 2021): 2385–91. http://dx.doi.org/10.1111/jace.18262.

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12

Yang, Fan, Weihua Xie, and Songhe Meng. "Impact wave dispersion characteristics in Bouligand-type structures." Applied Physics Letters 119, no. 15 (October 11, 2021): 153701. http://dx.doi.org/10.1063/5.0063026.

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13

Guarín-Zapata, Nicolás, Juan Gomez, Nick Yaraghi, David Kisailus, and Pablo D. Zavattieri. "Shear wave filtering in naturally-occurring Bouligand structures." Acta Biomaterialia 23 (September 2015): 11–20. http://dx.doi.org/10.1016/j.actbio.2015.04.039.

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14

Cabrer, Leonardo Manuel, and Daniele Mundici. "Severi–Bouligand tangents, Frenet frames and Riesz spaces." Advances in Applied Mathematics 64 (March 2015): 1–20. http://dx.doi.org/10.1016/j.aam.2014.11.004.

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15

Suksangpanya, Nobphadon, Nicholas A. Yaraghi, R. Byron Pipes, David Kisailus, and Pablo Zavattieri. "Crack twisting and toughening strategies in Bouligand architectures." International Journal of Solids and Structures 150 (October 2018): 83–106. http://dx.doi.org/10.1016/j.ijsolstr.2018.06.004.

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16

Brokate, Martin. "Newton and Bouligand derivatives of the scalar play and stop operator." Mathematical Modelling of Natural Phenomena 15 (2020): 51. http://dx.doi.org/10.1051/mmnp/2020013.

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We prove that the play and the stop operator possess Newton and Bouligand derivatives, and exhibit formulas for those derivatives. The remainder estimate is given in a strengthened form, and a corresponding chain rule is developed. The construction of the Newton derivative ensures that the mappings involved are measurable.
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17

Khachatryan, Rafik Agasievich. "ON SOME PROPERTIES OF QUASI CONVEX FUNCTIONS AND SETS." Tambov University Reports. Series: Natural and Technical Sciences, no. 124 (2018): 824–37. http://dx.doi.org/10.20310/1810-0198-2018-23-124-824-837.

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The connection between quasi convexity and proximal smoothness (also known as low C^2 property) of functions is verified. For compact sets, it is proved that the properties of quasi convexity and proximal smoothness are equivalent. The Bouligand cones of tangent directions for the sets that are defined by convex functions are constructed.
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18

Popov, Antony T. "Multiscale Fractal Texture Analysis Using Morphological Techniques." Fractals 05, supp01 (April 1997): 125–31. http://dx.doi.org/10.1142/s0218348x97000693.

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Fractal dimension is used to analyse texture images. Since the fractal dimension remains unchanged under linear transformations, presented method is robust for dismissing effects caused by lighting and other extrinsic factors. The methods of mathematical morphology are used to calculate the fractal (Bouligand) dimension. A parallel implementation of morphological blanket covering is proposed.
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19

Malanowski, K. "BOULIGAND DIFFERENTIABILITY OF SOLUTIONS TO PARAMETRIC OPTIMAL CONTROL PROBLEMS*." Numerical Functional Analysis and Optimization 22, no. 7-8 (November 30, 2001): 973–90. http://dx.doi.org/10.1081/nfa-100108318.

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20

Florindo, João Batista, Dalcimar Casanova, and Odemir Martinez Bruno. "A Gaussian pyramid approach to Bouligand–Minkowski fractal descriptors." Information Sciences 459 (August 2018): 36–52. http://dx.doi.org/10.1016/j.ins.2018.05.037.

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21

Cabrer, Leonardo Manuel. "Bouligand–Severi k -tangents and strongly semisimple MV-algebras." Journal of Algebra 404 (February 2014): 271–83. http://dx.doi.org/10.1016/j.jalgebra.2014.01.014.

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22

Necula, Mihai, and Marius Popescu. "Viability of a Time Dependent Closed Set with Respect to a Semilinear Delay Evolution Inclusion." Annals of the Alexandru Ioan Cuza University - Mathematics 61, no. 1 (January 1, 2015): 41–58. http://dx.doi.org/10.2478/aicu-2013-0016.

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Abstract We prove a sufficient condition for a time-dependent closed set to be viable with respect to a delay evolution inclusion governed by a strongly-weakly u.s.c. perturbation of an infinitesimal generator of a C0-semigroup. This condition is expressed in terms of a natural concept involving tangent sets, generalizing tangent vectors in the sense of Bouligand and Severi.
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23

Giorgi, Giorgio. "On Notations for Conic Hulls and Related Considerations on Tangent Cones." Journal of Mathematics Research 13, no. 3 (April 14, 2021): 13. http://dx.doi.org/10.5539/jmr.v13n3p13.

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We propose two di erent notations for cones generated by a set and for convex cones generated by a set, usually denoted by a same notation. We make some remarks on the Bouligand tangent cone and on the Clarke tangent cone for star-shaped sets and for locally convex sets. We give some applications of these remarks to a di erentiable optimization problem with an abstract constraint.
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24

Adam, Randall L., Rosana C. Silva, Fernanda G. Pereira, Neucimar J. Leite, Irene Lorand-Metze, and Konradin Metze. "The Fractal Dimension of Nuclear Chromatin as a Prognostic Factor in Acute Precursor B Lymphoblastic Leukemia." Analytical Cellular Pathology 28, no. 1-2 (January 1, 2006): 55–59. http://dx.doi.org/10.1155/2006/409593.

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The fractal nature of the DNA arrangement has been postulated to be a common feature of all cell nuclei. We investigated the prognostic importance of the fractal dimension (FD) of chromatin in blasts of patients with acute precursor B lymphoblastic leukemia (B-ALL). In 28 patients, gray scale transformed pseudo-3D images of 100 nuclei (May–Grünwald–Giemsa stained bone marrow smears) were analyzed. FD was determined by the Minkowski–Bouligand method extended to three dimensions. Goodness-of-fit of FD was estimated by the R2 values in the log-log plots. Whereas FD presented no prognostic relevance, patients with higher R2 values showed a prolonged survival. White blood cell count (WBC), age and mean fluorescence intensity of CD45 (MFICD45) were all unfavorable prognostic factors in univariate analyses. In a multivariate Cox-regression, R2, WBC, and MFICD45, entered the final model, which showed to be stable in a bootstrap resampling study. Blasts with lower R2 values, equivalent to accentuated “coarseness” of the chromatin pattern, which may reflect profound changes of the DNA methylation, indicated a poor prognosis. In conclusion the goodness-of-fit of the Minkowski–Bouligand dimension of chromatin can be regarded as a new and biologically relevant prognostic factor for patients with B-ALL.
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25

Luppe, M. "Fractal dimension based on Minkowski‐Bouligand method using exponential dilations." Electronics Letters 51, no. 6 (March 2015): 475–77. http://dx.doi.org/10.1049/el.2015.0156.

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26

Ouyang, Wenting, Bowen Gong, Huan Wang, Fabrizio Scarpa, Bo Su, and Hua-Xin Peng. "Identifying optimal rotating pitch angles in composites with Bouligand structure." Composites Communications 23 (February 2021): 100602. http://dx.doi.org/10.1016/j.coco.2020.100602.

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27

Clason, Christian, and Vu Huu Nhu. "Bouligand–Landweber iteration for a non-smooth ill-posed problem." Numerische Mathematik 142, no. 4 (April 4, 2019): 789–832. http://dx.doi.org/10.1007/s00211-019-01038-6.

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28

Florindo, Joao B., Odemir M. Bruno, and Gabriel Landini. "Morphological classification of odontogenic keratocysts using Bouligand–Minkowski fractal descriptors." Computers in Biology and Medicine 81 (February 2017): 1–10. http://dx.doi.org/10.1016/j.compbiomed.2016.12.003.

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29

O'Regan, Donal. "A note on multivalued differential equations on proximate retracts." Journal of Applied Mathematics and Stochastic Analysis 12, no. 2 (January 1, 1999): 169–78. http://dx.doi.org/10.1155/s1048953399000179.

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This paper discusses viable solutions for differential inclusions in Banach spaces. Existence will be established in two steps. In step 1, a nonlinear alternative of Leray-Schauder type [8] for maps with closed graphs will be used to establish a variety of existence principles for the Cauchy differential inclusion. Step 2 involves using the results in step 1 together with some tricks involving the Bouligand cone (and sometimes the Urysohn function) so that new existence criteria can be established for multivalued differential equations on proximate retracts.
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30

Zhang, Yuan, Guoqi Tan, Mingyang Zhang, Qin Yu, Zengqian Liu, Yanyan Liu, Jian Zhang, et al. "Bioinspired tungsten-copper composites with Bouligand-type architectures mimicking fish scales." Journal of Materials Science & Technology 96 (January 2022): 21–30. http://dx.doi.org/10.1016/j.jmst.2021.04.022.

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31

Amorim, L., A. Santos, J. P. Nunes, G. Dias, and J. C. Viana. "Quasi static mechanical study of vacuum bag infused bouligand inspired composites." Polymer Testing 100 (August 2021): 107261. http://dx.doi.org/10.1016/j.polymertesting.2021.107261.

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32

FLORINDO, JOÃO BATISTA, MÁRIO DE CASTRO, and ODEMIR MARTINEZ BRUNO. "ENHANCING VOLUMETRIC BOULIGAND–MINKOWSKI FRACTAL DESCRIPTORS BY USING FUNCTIONAL DATA ANALYSIS." International Journal of Modern Physics C 22, no. 09 (September 2011): 929–52. http://dx.doi.org/10.1142/s0129183111016701.

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This work proposes and studies the concept of Functional Data Analysis transform, applying it to the performance improving of volumetric Bouligand–Minkowski fractal descriptors. The proposed transform consists essentially in changing the descriptors originally defined in the space of the calculus of fractal dimension into the space of coefficients used in the functional data representation of these descriptors. The transformed descriptors are used here in texture classification problems. The enhancement provided by the FDA transform is measured by comparing the transformed to the original descriptors in terms of the correctness rate in the classification of well known datasets.
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33

Pašić, Mervan. "Minkowski–Bouligand dimension of solutions of the one-dimensional p-Laplacian." Journal of Differential Equations 190, no. 1 (May 2003): 268–305. http://dx.doi.org/10.1016/s0022-0396(02)00149-3.

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34

IMRE, A. R., and J. BOGAERT. "THE MINKOWSKI-BOULIGAND DIMENSION AND THE INTERIOR-TO-EDGE RATIO OF HABITATS." Fractals 14, no. 01 (March 2006): 49–53. http://dx.doi.org/10.1142/s0218348x06003027.

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Fragmentation processes can produce isolated patches from an originally continuous habitat. The shapes of the resulting patches are usually highly irregular. Due to this irregularity, their ability to endure external disturbances is different, which is an expression of their ecological quality. Traditionally, patch area and interior-to-edge ratios are used to characterize the quality of habitats but the latter one is not applicable under varying external disturbances. In this paper, we show that the internal Minkowski-Bouligand dimension (and the corresponding form-factor) can be used as a simple interior-to-edge function applicable on a variable edge width.
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35

Clason, Christian, and Huu Nhu Vu. "Bouligand-Levenberg-Marquardt iteration for a non-smooth ill-posed inverse problem." ETNA - Electronic Transactions on Numerical Analysis 51 (2019): 274–314. http://dx.doi.org/10.1553/etna_vol51s274.

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36

Körbelin, Johann, Philip Goralski, Benedikt Kötter, Florian Bittner, Hans-Josef Endres, and Bodo Fiedler. "Damage tolerance and notch sensitivity of bio-inspired thin-ply Bouligand structures." Composites Part C: Open Access 5 (July 2021): 100146. http://dx.doi.org/10.1016/j.jcomc.2021.100146.

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37

Meng, Qinghua, Yuan Gao, Xinghua Shi, and Xi-Qiao Feng. "Three-dimensional crack bridging model of biological materials with twisted Bouligand structures." Journal of the Mechanics and Physics of Solids 159 (February 2022): 104729. http://dx.doi.org/10.1016/j.jmps.2021.104729.

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38

Liu, Junli, Shuai Li, Kate Fox, and Phuong Tran. "3D concrete printing of bioinspired Bouligand structure: A study on impact resistance." Additive Manufacturing 50 (February 2022): 102544. http://dx.doi.org/10.1016/j.addma.2021.102544.

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39

Sharma, Vivek, Matija Crne, Jung Ok Park, and Mohan Srinivasarao. "Bouligand Structures Underlie Circularly Polarized Iridescence of Scarab Beetles: A Closer View." Materials Today: Proceedings 1 (2014): 161–71. http://dx.doi.org/10.1016/j.matpr.2014.09.019.

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40

Yang, Ruiguo, Alireza Zaheri, Wei Gao, Cheryl Hayashi, and Horacio D. Espinosa. "AFM Identification of Beetle Exocuticle: Bouligand Structure and Nanofiber Anisotropic Elastic Properties." Advanced Functional Materials 27, no. 6 (December 27, 2016): 1603993. http://dx.doi.org/10.1002/adfm.201603993.

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41

Zhang, Xingyuan, Zhen Wen, Yongcun Li, Yunbo Luan, and Qi Zhang. "Improved strength and toughness of bioinspired Bouligand architecture composite by discontinuous carbon fiber." Journal of Physics: Conference Series 1906, no. 1 (May 1, 2021): 012030. http://dx.doi.org/10.1088/1742-6596/1906/1/012030.

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42

Nguyen-Van, Vuong, Junli Liu, Shuai Li, Guomin Zhang, H. Nguyen-Xuan, and Phuong Tran. "Modelling of 3D-printed bio-inspired Bouligand cementitious structures reinforced with steel fibres." Engineering Structures 274 (January 2023): 115123. http://dx.doi.org/10.1016/j.engstruct.2022.115123.

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43

Wu, Wenying, and Dingtao Peng. "Optimality Conditions for Group Sparse Constrained Optimization Problems." Mathematics 9, no. 1 (January 1, 2021): 84. http://dx.doi.org/10.3390/math9010084.

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In this paper, optimality conditions for the group sparse constrained optimization (GSCO) problems are studied. Firstly, the equivalent characterizations of Bouligand tangent cone, Clarke tangent cone and their corresponding normal cones of the group sparse set are derived. Secondly, by using tangent cones and normal cones, four types of stationary points for GSCO problems are given: TB-stationary point, NB-stationary point, TC-stationary point and NC-stationary point, which are used to characterize first-order optimality conditions for GSCO problems. Furthermore, both the relationship among the four types of stationary points and the relationship between stationary points and local minimizers are discussed. Finally, second-order necessary and sufficient optimality conditions for GSCO problems are provided.
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44

Hu, Hebing, Sribharani Sekar, Wenbing Wu, Yann Battie, Vincent Lemaire, Oriol Arteaga, Lisa V. Poulikakos, et al. "Nanoscale Bouligand Multilayers: Giant Circular Dichroism of Helical Assemblies of Plasmonic 1D Nano-Objects." ACS Nano 15, no. 8 (August 10, 2021): 13653–61. http://dx.doi.org/10.1021/acsnano.1c04804.

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45

Zhang, Yu-Dong, Xian-Qing Chen, Tian-Ming Zhan, Zhu-Qing Jiao, Yi Sun, Zhi-Min Chen, Yu Yao, Lan-Ting Fang, Yi-Ding Lv, and Shui-Hua Wang. "Fractal Dimension Estimation for Developing Pathological Brain Detection System Based on Minkowski-Bouligand Method." IEEE Access 4 (2016): 5937–47. http://dx.doi.org/10.1109/access.2016.2611530.

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46

Rauls, Anne-Therese, and Stefan Ulbrich. "Computation of a Bouligand Generalized Derivative for the Solution Operator of the Obstacle Problem." SIAM Journal on Control and Optimization 57, no. 5 (January 2019): 3223–48. http://dx.doi.org/10.1137/18m1187283.

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47

Nelson, Isaac, John Varga, Paul Wadsworth, Max Mroz, Jamie J. Kruzic, Owen T. Kingstedt, and Steven E. Naleway. "Helical and Bouligand Porous Scaffolds Fabricated by Dynamic Low Strength Magnetic Field Freeze Casting." JOM 72, no. 4 (January 14, 2020): 1498–508. http://dx.doi.org/10.1007/s11837-019-04002-9.

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48

Durea, M., and R. Strugariu. "Optimality conditions in terms of Bouligand derivatives for Pareto efficiency in set-valued optimization." Optimization Letters 5, no. 1 (May 4, 2010): 141–51. http://dx.doi.org/10.1007/s11590-010-0197-7.

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49

Ferreira, Rita C., Patrícia S. de Matos, Randall L. Adam, Neucimar J. Leite, and Konradin Metze. "Application of the Minkowski–Bouligand Fractal Dimension for the Differential Diagnosis of Thyroid Follicular Neoplasias." Analytical Cellular Pathology 28, no. 5-6 (January 1, 2006): 331–33. http://dx.doi.org/10.1155/2006/634840.

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50

Ursescu, Corneliu. "LOCAL UNIFORM LINEAR OPENNESS OF MULTIFUNCTIONS AND CALCULUS OF BOULIGAND –SEVERI AND CLARKE TANGENT SETS." Taiwanese Journal of Mathematics 12, no. 9 (December 2008): 2201–31. http://dx.doi.org/10.11650/twjm/1500405177.

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