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Journal articles on the topic 'Zig-zag theory'

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Author: Grafiati

Published: 14 March 2023

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1

Alvarado Cornejo, Marina d. A. "Zig-Zag y la irrupción editorial: La ciudad letrada “zigzagueante." Literatura y Lingüística, no. 23 (May 19, 2015): 81. http://dx.doi.org/10.29344/0717621x.23.111.

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ResumenEl objetivo de este trabajo es reconocer la importancia de la irrupción de la editorial Zig- Zag y su magazín homónimo en el proceso de legitimación y expansión de la producción literaria chilena durante las primeras dos décadas del siglo XX. Para esto, identificamos las estrategias desplegadas por la publicación semanal, las que analizamos a la luz de la noción “ciudad letrada” de Ángel Rama.Palabras clave: Editorial Zig-Zag, magazín Zig-Zag, legitimación de la producción literaria, “ciudad letrada”.Zig-Zag and the publishing emergence: The zigzagueante ciudad letradaAbstractThe aim of this paper is to recognize the importance of the emergence of Zig-Zag Publisher and its magazine with the same name, in the process of legitimation and expansion of the Chilean literary production during the first two decades of the twentieth century. For this purpose, we identify the strategies employedby the weekly publication, which are analyzed in light of the reappropriation of the notion of ciudad letrada by Angel Rama.Key words: Zig-Zag Publisher, magazíne Zig-Zag, legitimation of literary production,“ciudad letrada”.

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2

Kapuria, S. "A Coupled Zig-Zag Third-Order Theory for Piezoelectric Hybrid Cross-Ply Plates." Journal of Applied Mechanics 71, no. 5 (September 1, 2004): 604–14. http://dx.doi.org/10.1115/1.1767170.

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A new zig-zag coupled theory is developed for hybrid cross-ply plates with some piezoelectric layers using third-order zig-zag approximation for the inplane displacements and sublayer wise piecewise linear approximation for the electric potential. The theory considers all electric field components and can model open and closed-circuit boundary conditions. The deflection field accounts for the transverse normal strain due to the piezoelectric d33 coefficient. The displacement field is expressed in terms of five displacement variables (which are the same as in FSDT) and electric potential variables by satisfying exactly the conditions of zero shear stresses at the top and bottom, and their continuity at layer interfaces. The governing equations are derived from the principle of virtual work. Comparison of the Navier solutions for the simply-supported plates with the analytical three-dimensional piezoelasticity solutions establishes that the present efficient zig-zag theory is quite accurate for moderately thick plates.

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3

Aloui, Lobna, Thierry Dintzer, and Izabela Janowska. "Fe Atom—Mixed Edges Fractal Graphene via DFT Calculation." ChemEngineering 6, no. 5 (October 8, 2022): 79. http://dx.doi.org/10.3390/chemengineering6050079.

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The stability of small fractal graphene models with two different symmetries and Fe atoms at their mixed edges is addressed by density functional theory (DFT) calculations. Four kinds of edge configurations and Fe atom localizations are determined depending on the model. The edges have mixed configuration, the zig-zag and “intra-zig-zag” in symmetrical structures and armchair and zig-zag type in the architectures with rotational symmetry. The rotational symmetry graphene exhibits slightly higher stability per carbon atom compared to the symmetrical model, while the localization of Fe atoms is more favorable at armchair and “inversed zigzag” than at zigzag type carbon termination. Larger graphene structures with rotational symmetry were observed previously via experimental cutting of graphene with Fe nanoparticles (NPs).

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4

Ganor, Yaniv, Traian Dumitrică, Fan Feng, and Richard D. James. "Zig-zag twins and helical phase transformations." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 374, no. 2066 (April 28, 2016): 20150208. http://dx.doi.org/10.1098/rsta.2015.0208.

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We demonstrate the large bending deformation induced by an array of permanent magnets (applied field ∼0.02 T) designed to minimize poles in the bent state of the crystal. Planar cantilevers of NiMnGa (5M modulated martensite) ferromagnetic shape memory alloy deform into an arched shape according to theory, with a zig-zag microstructure that complies with the kinematic and magnetic compatibility between adjacent twin variants. A general theory of bent and twisted states is given, applicable to both twinning and austenite/martensite transformations. Some of these configurations achieve order-of-magnitude amplification of rotation and axial strain. We investigate also atomistic analogues of these bent and twisted configurations with perfect interfaces between phases. These mechanisms of large deformation, induced by small magnetic fields or temperature changes, have potential application to the development of new actuation technologies for micro-robotic systems.

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5

Cho, M., and J. S. Kim. "Higher-Order Zig-Zag Theory for Laminated Composites With Multiple Delaminations." Journal of Applied Mechanics 68, no. 6 (October 19, 2000): 869–77. http://dx.doi.org/10.1115/1.1406959.

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A higher-order zig-zag theory has been developed for laminated composite plates with multiple delaminations. By imposing top and bottom surface transverse shear stress-free conditions and interface continuity conditions of transverse shear stresses including delaminated interfaces, the displacement field with minimal degree-of-freedoms are obtained. This displacement field can systematically handle the number, shape, size, and locations of delaminations. Through the dynamic version of variational approach, the dynamic equilibrium equations and variationally consistent boundary conditions are obtained. The delaminated beam finite element is implemented to evaluate the performance of the newly developed theory. Linear buckling and natural frequency analysis demonstrate the accuracy and efficiency of the present theory. The present higher-order zig-zag theory should work as an efficient tool to analyze the static and dynamic behavior of the composite plates with multiple delaminations.

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6

Kratzer, Peter, Sherif Abdulkader Tawfik, Xiang Yuan Cui, and Catherine Stampfl. "Detection of adsorbed transition-metal porphyrins by spin-dependent conductance of graphene nanoribbon." RSC Advances 7, no. 46 (2017): 29112–21. http://dx.doi.org/10.1039/c7ra04594h.

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7

XIE, ZHIFENG. "NULL ZIG-ZAG WILSON LOOPS IN $\mathcal{N}=4$ SYM." Modern Physics Letters A 25, no. 08 (March 14, 2010): 627–39. http://dx.doi.org/10.1142/s0217732310032093.

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In planar [Formula: see text] supersymmetric Yang–Mills theory we have studied one kind of (locally) BPS Wilson loops composed of a large number of light-like segments, i.e. null zig-zags. These contours oscillate around smooth underlying spacelike paths. At one-loop in perturbation theory, we have compared the finite part of the expectation value of null zig-zags to the finite part of the expectation value of non-scalar-coupled Wilson loops whose contours are the underlying smooth spacelike paths. In arXiv:0710.1060 [hep-th] it was argued that these quantities are equal for the case of a rectangular Wilson loop. Here we present a modest extension of this result to zig-zags of circular shape and zig-zags following non-parallel, disconnected line segments and show analytically that the one-loop finite part is indeed that given by the smooth spacelike Wilson loop without coupling to scalars which the zig-zag contour approximates. We make some comments regarding the generalization to arbitrary shapes.

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8

Zhang, Z. C., X. L. Liu, L. Y. Hu, Y. Wang, W. Q. Chen, and R. Q. Xu. "Zig-zag theory for concrete beams with corrugated steel webs." Engineering Structures 258 (May 2022): 114100. http://dx.doi.org/10.1016/j.engstruct.2022.114100.

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9

Van Der Poorten, A. J. "Generalised simultaneous approximation of functions." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 51, no. 1 (August 1991): 50–61. http://dx.doi.org/10.1017/s1446788700033292.

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AbstractWe generalise the approximation theory described in Mahier's paper “Perfect Systems” to linked simultaneous approximations and prove the existence of nonsingular approximation and of transfer matrices by generalising Coates' normality zig-zag theorem. The theory sketched here may have application to constructions important in the theory of diophantine approximation.

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10

González-Durruthy, Michael, Adriano V. Werhli, Luisa Cornetet, Karina S. Machado, Humberto González-Díaz, Wilson Wasiliesky, Caroline Pires Ruas, Marcos A. Gelesky, and José M. Monserrat. "Predicting the binding properties of single walled carbon nanotubes (SWCNT) with an ADP/ATP mitochondrial carrier using molecular docking, chemoinformatics, and nano-QSBR perturbation theory." RSC Advances 6, no. 63 (2016): 58680–93. http://dx.doi.org/10.1039/c6ra08883j.

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Interactions between single walled carbon nanotubes (SWCNT) family with mitochondrial ADP/ATP carrier (ANT-1) were evaluated using constitutional and electronic nanodescriptors defined by (n, m)-Hamada indexes (armchair, zig-zag and chiral).

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11

Nguyen, Sy-Ngoc, Jaehun Lee, and Maenghyo Cho. "Efficient higher-order zig-zag theory for viscoelastic laminated composite plates." International Journal of Solids and Structures 62 (June 2015): 174–85. http://dx.doi.org/10.1016/j.ijsolstr.2015.02.027.

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12

BROADHURST, D. J., and D. KREIMER. "Knots and Numbers in ϕ4 Theory to 7 Loops and Beyond." International Journal of Modern Physics C 06, no. 04 (August 1995): 519–24. http://dx.doi.org/10.1142/s012918319500037x.

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We evaluate all the primitive divergences contributing to the 7-loop β-function of ɸ4 theory, i.e. all 59 diagrams that are free of subdivergences and hence give scheme-independent contributions. Guided by the association of diagrams with knots, we obtain analytical results for 56 diagrams. The remaining three diagrams, associated with the knots 10124, 10139, and 10152, are evaluated numerically, to 10 sf. Only one satellite knot with 11 crossings is encountered and the transcendental number associated with it is found. Thus we achieve an analytical result for the 6-loop contributions, and a numerical result at 7 loops that is accurate to one part in 1011. The series of ‘zig-zag’ counterterms, [Formula: see text], previously known for n=3, 4, 5, 6 loops, is evaluated to 10 loops, corresponding to 17 crossings, revealing that the n-loop zig-zag term is [Formula: see text], where [Formula: see text] are the Catalan numbers, familiar in knot theory. The investigations reported here entailed intensive use of REDUCE, to generate O(104) lines of code for multiple precision FORTRAN computations, enabled by Bailey’s MPFUN routines, running for O(103) CPUhours on DecAlpha machines.

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13

Wu, Jun, Yongxi Cheng, and Ding-Zhu Du. "An improved zig zag approach for competitive group testing." Discrete Optimization 43 (February 2022): 100687. http://dx.doi.org/10.1016/j.disopt.2022.100687.

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14

McKenzie, Ralph. "The Zig-Zag Property and Exponential Cancellation of Ordered Sets." Order 20, no. 3 (2003): 185–221. http://dx.doi.org/10.1023/b:orde.0000026529.04361.f8.

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15

Maturi, D. A., A. J. M. Ferreira, A. M. Zenkour, and D. S. Mashat. "Analysis of Laminated Shells by Murakami’s Zig-Zag Theory and Radial Basis Functions Collocation." Journal of Applied Mathematics 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/123465.

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The static and free vibration analysis of laminated shells is performed by radial basis functions collocation, according to Murakami’s zig-zag (ZZ) function (MZZF) theory . The MZZF theory accounts for through-the-thickness deformation, by considering a ZZ evolution of the transverse displacement with the thickness coordinate. The equations of motion and the boundary conditions are obtained by Carrera’s Unified Formulation and further interpolated by collocation with radial basis functions.

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16

Carrera, Erasmo. "Historical review of Zig-Zag theories for multilayered plates and shells." Applied Mechanics Reviews 56, no. 3 (May 1, 2003): 287–308. http://dx.doi.org/10.1115/1.1557614.

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This paper gives a historical review of the theories that have been developed for the analysis of multilayered structures. Attention has been restricted to the so-called Zig-Zag theories, which describe a piecewise continuous displacement field in the plate thickness direction and fulfill interlaminar continuity of transverse stresses at each layer interface. Basically, plate and shell geometries are addressed, even though beams are also considered in some cases. Models in which the number of displacement variables is kept independent of the number of constitutive layers are discussed to the greatest extent. Attention has been restricted to those plate and shell theories which are based on the so-called method of hypotheses or axiomatic approach in which assumptions are introduced for displacements and/or transverse stresses. Mostly, the work published in the English language is reviewed. However, an account of a few articles originally written in Russian is also given. The historical review conducted has led to the following main conclusions. 1) Lekhnitskii (1935) was the first to propose a Zig-Zag theory, which was obtained by solving an elasticity problem involving a layered beam. 2) Two other different and independent Zig-Zag theories have been singled out. One was developed by Ambartsumian (1958), who extended the well-known Reissner-Mindlin theory to layered, anisotropic plates and shells; the other approach was introduced by Reissner (1984), who proposed a variational theorem that permits both displacements and transverse stress assumptions. 3) On the basis of historical considerations, which are detailed in the paper, it is proposed to refer to these three theories by using the following three names: Lekhnitskii Multilayered Theory, (LMT), Ambartsumian Multilayered Theory (AMT), and Reissner Multilayered Theory (RMT). As far as subsequent contributions to these three theories are concerned, it can be remarked that: 4) LMT although very promising, has almost been ignored in the open literature. 5) Dozens of papers have instead been presented which consist of direct applications or particular cases of the original AMT. The contents of the original works have very often been ignored, not recognized, or not mentioned in the large number of articles that were published in journals written in the English language. Such historical unfairness is detailed in Section 3.2. 6) RMT seems to be the most natural and powerful method to analyze multilayered structures. Compared to other theories, the RMT approach has allowed from the beginning development of models which retain the fundamental effect related to transverse normal stresses and strains. This review article cites 138 references.

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17

Icardi, U. "A three-dimensional zig-zag theory for analysis of thick laminated beams." Composite Structures 52, no. 1 (April 2001): 123–35. http://dx.doi.org/10.1016/s0263-8223(00)00189-6.

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18

Cho, Maenghyo, and Jinho Oh. "Higher order zig-zag plate theory under thermo-electric-mechanical loads combined." Composites Part B: Engineering 34, no. 1 (January 2003): 67–82. http://dx.doi.org/10.1016/s1359-8368(02)00071-9.

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19

Averill, R. C., and Y. C. Yip. "Thick beam theory and finite element model with zig-zag sublaminate approximations." AIAA Journal 34, no. 8 (August 1996): 1627–32. http://dx.doi.org/10.2514/3.13281.

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20

Icardi, Ugo. "Cylindrical bending of laminated cylindrical shells using a modified zig-zag theory." Structural Engineering and Mechanics 6, no. 5 (July 25, 1998): 497–516. http://dx.doi.org/10.12989/sem.1998.6.5.497.

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21

A. Kelley, Christine, Deepak Sridhara, and Joachim Rosenthal. "Zig-zag and replacement product graphs and LDPC codes." Advances in Mathematics of Communications 2, no. 4 (2008): 347–72. http://dx.doi.org/10.3934/amc.2008.2.347.

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22

Persson Westin, Elin. "Tilting modules and exceptional sequences for leaf quotients of type A zig-zag algebras." Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 61, no. 2 (September 27, 2019): 189–207. http://dx.doi.org/10.1007/s13366-019-00465-8.

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Abstract We classify generalized tilting modules and full exceptional sequences for the family of quasi-hereditary quotients of type A zig-zag algebras and for a related family of algebras. We also give a characterization of these quotients as quasi-hereditary algebras with simple preserving duality that are “close” to self-injective algebras.

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23

Zhang, Dongjian, Xitao Zheng, Chongzhe Wang, and Zhen Wu. "Experiments and Analysis on Stability of the Sandwich Structures with Soft Core." International Journal of Structural Stability and Dynamics 19, no. 12 (December 2019): 1950159. http://dx.doi.org/10.1142/s0219455419501591.

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In this paper, first a complete buckling experiment of the sandwich beams with the foam core is carried out, which includes the manufacturing of specimens and their experimental verification. Second, a refined sinusoidal zig-zag theory (RSZT) is established, which can describe the zig-zag effect during the in-plane compression of sandwich beam and accommodate the transverse shear free surface boundary conditions. Based on the established model combined with Hu–Washizu variational principle, a two-node beam element has been developed to address the buckling problem of the sandwich beams. Thus, the established beam element is able to accommodate interlaminar continuous conditions of transverse shear stress. Several examples have been investigated to validate the accuracy of the established method. The comparative analysis of the results including experimental data, the results acquired from three-dimensional finite element (3D-FEM) and diverse models has been made. Comparative analysis shows that the accurate buckling loads can be acquired from the established model. Nevertheless, other models discarding the continuous conditions of transverse stresses among the adjacent layers largely overestimate the critical loads.

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24

Darrigrandi Navarro, Claudia, and Antonia Viu Bottini. "Imágenes de mujeres lectoras en revista Zig-Zag, 1920-1940." Estudios filológicos, no. 64 (December 2019): 13–34. http://dx.doi.org/10.4067/s0071-17132019000200013.

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25

T. Baranski, Sherrill B. Biggers, Andrzej. "Postbuckling Analysis of Laminated Composite Plates Using a Higher-Order Zig-Zag Theory." Mechanics of Composite Materials and Structures 7, no. 3 (July 2000): 285–314. http://dx.doi.org/10.1080/10759410050031149.

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26

MANTARI, J. L., I. A. RAMOS, and J. C. MONGE. "Non-polynomial Zig-Zag and ESL shear deformation theory to study advanced composites." Chinese Journal of Aeronautics 32, no. 4 (April 2019): 906–20. http://dx.doi.org/10.1016/j.cja.2019.02.001.

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27

WATANABE, Chikara, and Kaede OCHIAI. "FREE VIBRATION ANALYSIS OF ANISOTROPIC LAMINATED PLATES BY REGION-WISE ZIG-ZAG THEORY." Japanese Journal of JSCE 79, no. 15 (2023): n/a. http://dx.doi.org/10.2208/jscejj.22-15002.

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28

Lin, Di, and Hui Huang. "Zig-Zag Network for Semantic Segmentation of RGB-D Images." IEEE Transactions on Pattern Analysis and Machine Intelligence 42, no. 10 (October 1, 2020): 2642–55. http://dx.doi.org/10.1109/tpami.2019.2923513.

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29

Fatmawati, Dewi, Tengku Silvana Sinar, Rohani Ganie, and Muhammad Yusuf. "THEMATIC PROGRESSION PATTERNS OF SHORT STORY THE BLACK CAT." Language Literacy: Journal of Linguistics, Literature, and Language Teaching 3, no. 1 (July 5, 2019): 64–73. http://dx.doi.org/10.30743/ll.v3i1.1082.

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This study attempts to investigate thematic progression deployed in The Black Cat short story. The objectives of study are 1) To indicate the types of Thematic Progression in “The Black Cat” short story and 2) to describe the realization of Thematic Progression in “The Black Cat” short story. This study was conducted in descriptive qualitative design. The data were taken from the text of “The Black Cat” short story. The source of the data in this study was The Black Cat and Other Stories book written by Edgar Allan Poe. Systemic Functional Linguistics theory proposed by Halliday (1994) was used to analyzed thematic progression in “The Black Cat” short story regarded with Textual Function. In analyzing the thematic progression, there are three kinds of thematic progression: theme reiteration, the zig-zag pattern and the multiple- rheme pattern. The findings showed that the multiple- rheme pattern is the most dominant realized in 32 times (74%), theme reiteration is the second realized in 7 times (16,3%), and the zig-zag pattern is realized in 4 times (9,3%) and the least dominant pattern in “The Black Cat” short story.

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30

Purba, Grace, and Arsen Nahum Pasaribu. "Thematic Progression in Students’ Descriptive Text." International Journal of Educational Research & Social Sciences 2, no. 3 (June 29, 2021): 503–7. http://dx.doi.org/10.51601/ijersc.v2i3.86.

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A way for developing good writing skills is by using thematic progression. It can help students improve their writing abilities. Theme and rheme are used to analyze the thematic progression. This study aimed to find out the types of thematic progression of students' descriptive texts and the most dominant pattern of thematic progression in students’ descriptive texts. The researcher used the descriptive qualitative method in the research design. There were 50 texts written by students at SMP Swasta Sultan Agung Pematangsiantar. The data was analyzed using (Eggins, 2005) theory as the theoretical framework that found three types of thematic progression. The findings revealed that the students' descriptive texts follow three thematic progression patterns: reiteration or constant pattern, zig-zag or linear pattern, and multiple patterns or split rheme pattern. The constant pattern was the most dominant used by students in 271 occurences (91.80%), followed by zig-zag or linear pattern occurred 13 times (4.4%) and multiple patterns or split rheme pattern occurred 11 times (3.8%)l. The findings show students, in writing descriptive text, tend to use simple thematic progression due to their level of knowledge in grammar and thematic progression is relatively low.

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31

Porsev, Vitaly, and Robert Evarestov. "Magnetic Properties of Zig-Zag-Edged Hexagonal Nanohelicenes: A Quantum Chemical Study." Nanomaterials 13, no. 3 (January 19, 2023): 415. http://dx.doi.org/10.3390/nano13030415.

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The atomic structure and electronic and magnetic properties of two zig-zag-edged hexagonal nanohelicenes of the second type [1.2] and [2.2] were studied by the density functional theory. These objects possess a helical periodicity and belong to the fifth family of line symmetry groups in their global energy minimum. These nanohelicenes were shown by us to be diamagnetic metals that undergo spontaneous symmetry breaking into antiferromagnetic semiconductors as a result of the Mott–Hubbard metal-insulator transition. However, under some torsional stress, a reversible transformation to a diamagnetic metal can take place, which is promising for the use of nanohelicenes in electro-magneto-mechanical nanodevices.

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32

Zhao, Donglin, Zhen Wu, and Xiaohui Ren. "New Sinusoidal Higher-Order Theory Including the Zig-Zag Function for Multilayered Composite Beams." Journal of Aerospace Engineering 32, no. 3 (May 2019): 04019009. http://dx.doi.org/10.1061/(asce)as.1943-5525.0000994.

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Cho, Maenghyo, and Jinho Oh. "Higher order zig-zag theory for fully coupled thermo-electric–mechanical smart composite plates." International Journal of Solids and Structures 41, no. 5-6 (March 2004): 1331–56. http://dx.doi.org/10.1016/j.ijsolstr.2003.10.020.

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Oh, Jinho, and Maenghyo Cho. "Higher order zig-zag theory for smart composite shells under mechanical-thermo-electric loading." International Journal of Solids and Structures 44, no. 1 (January 2007): 100–127. http://dx.doi.org/10.1016/j.ijsolstr.2006.04.017.

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35

Ponce-Pérez, R., Gregorio H. Cocoletzi, and Noboru Takeuchi. "Zig-zag boron nitride nanotubes functionalization with acetylene molecules: a density functional theory study." Adsorption 25, no. 1 (October 25, 2018): 63–74. http://dx.doi.org/10.1007/s10450-018-9985-7.

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36

Wu, Zhaotian, and Chuwei Zhou. "Progressive multi-damage analysis of composite laminate using higher order zig-zag plate theory." Advances in Mechanical Engineering 12, no. 4 (April 2020): 168781402091536. http://dx.doi.org/10.1177/1687814020915367.

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In this article, a finite element model of multi-layer composite laminates with delamination based on higher order zig-zag theory is studied for the progressive delamination analysis. The degrees of freedom are simplified by the continuity conditions of shear stress between layers and the free-surface conditions at the bottom and top of laminates. The numbers of degrees of freedom are not reduced with this method while the model can take the initiation of delamination into consideration in return. Static loading analysis is implemented to simulate the performance in delamination resistance with two different plies and under two different boundary conditions. The present model can present good performance in the prediction of delamination phenomenon.

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37

Padhi, Ansuman, and Mihir K. Pandit. "Behaviour of sandwich laminates subjected to thermal loading using higher-order zig-zag theory." Journal of Sandwich Structures & Materials 18, no. 2 (December 2, 2015): 174–99. http://dx.doi.org/10.1177/1099636215613487.

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38

Nguyen, Sy-Ngoc, Jaehun Lee, and Maenghyo Cho. "Viscoelastic behavior of Naghdi shell model based on efficient higher-order zig-zag theory." Composite Structures 164 (March 2017): 304–15. http://dx.doi.org/10.1016/j.compstruct.2016.11.050.

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39

Хошгофтар, М. Дж., М. Карими, and С. Сейфури. "Нелинейный анализ изгиба пластин из слоистого композита с использованием уточненной зигзагообразной теории." Механика композитных материалов 58, no. 5 (November 2022): 905–26. http://dx.doi.org/10.22364/mkm.58.5.03.

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Для исследования изгибного поведения композитных пластин и сандвич-конструкций использована модифицированная зигзагообразная теория, основанная на теории сдвигового деформирования первого порядка для некоторых кусочно-линейных функций перемещений в плоскости. Эта теория не зависит от коэффициента коррекции на сдвиг и может быть применена к разным инженерным задачам, связанным с динамикой конструкций. Для получения точных результатов при больших деформациях в уравнении совместности фон Кармана учтены члены нелинейной деформации. Определяющие уравнения и связанные с ними граничные условия получены с помощью принципа виртуальной работы. Численные результаты сопоставлены с результатами других теорий и установлено их превосходное согласование. Результаты, представленные графически и таблично, иллюстрируют превосходство рассмотренной модели при предсказании полей напряжений и перемещений. Предложенная модель применима к нелинейным задачам с большими прогибами.

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40

Gaucher, Philippe. "Homotopy theory of Moore flows (I)." Compositionality 3 (August 30, 2021): 3. http://dx.doi.org/10.32408/compositionality-3-3.

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A reparametrization category is a small topologically enriched symmetric semimonoidal category such that the semimonoidal structure induces a structure of a commutative semigroup on objects, such that all spaces of maps are contractible and such that each map can be decomposed (not necessarily in a unique way) as a tensor product of two maps. A Moore flow is a small semicategory enriched over the closed semimonoidal category of enriched presheaves over a reparametrization category. We construct the q-model category of Moore flows. It is proved that it is Quillen equivalent to the q-model category of flows. This result is the first step to establish a zig-zag of Quillen equivalences between the q-model structure of multipointed d-spaces and the q-model structure of flows.

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41

Krannich, Manuel. "A homological approach to pseudoisotopy theory. I." Inventiones mathematicae 227, no. 3 (January 31, 2022): 1093–167. http://dx.doi.org/10.1007/s00222-021-01077-7.

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AbstractWe construct a zig–zag from the once delooped space of pseudoisotopies of a closed 2n-disc to the once looped algebraic K-theory space of the integers and show that the maps involved are p-locally $$(2n-4)$$ ( 2 n - 4 ) -connected for $$n\,{>}\,3$$ n > 3 and large primes p. The proof uses the computation of the stable homology of the moduli space of high-dimensional handlebodies due to Botvinnik–Perlmutter and is independent of the classical approach to pseudoisotopy theory based on Igusa’s stability theorem and work of Waldhausen. Combined with a result of Randal-Williams, one consequence of this identification is a calculation of the rational homotopy groups of $$\mathrm {BDiff}_\partial (D^{2n+1})$$ BDiff ∂ ( D 2 n + 1 ) in degrees up to $$2n-5$$ 2 n - 5 .

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Pandit, Mihir K., Bhrigu N. Singh, and Abdul H. Sheikh. "Vibration of Sandwich Plates with Random Material Properties using Improved Higher-Order Zig-Zag Theory." Mechanics of Advanced Materials and Structures 17, no. 7 (October 19, 2010): 561–72. http://dx.doi.org/10.1080/15376490903398698.

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Chalak, H. D., Anupam Chakrabarti, Abdul Hamid Sheikh, and Mohd Ashraf Iqbal. "Stability Analysis of Laminated Soft Core Sandwich Plates Using Higher Order Zig-Zag Plate Theory." Mechanics of Advanced Materials and Structures 22, no. 11 (April 15, 2015): 897–907. http://dx.doi.org/10.1080/15376494.2013.874061.

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Ferreira, António Joaquim Mendes, Carla Maria da Cunha Roque, Erasmo Carrera, Maria Cinefra, and Olivier Polit. "Analysis of sandwich plates by radial basis functions collocation, according to Murakami's Zig-Zag theory." Journal of Sandwich Structures & Materials 14, no. 5 (June 7, 2012): 505–24. http://dx.doi.org/10.1177/1099636212449083.

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Kapuria, S., P. C. Dumir, A. Ahmed, and N. Alam. "Finite element model of efficient zig-zag theory for static analysis of hybrid piezoelectric beams." Computational Mechanics 34, no. 6 (June 23, 2004): 475–83. http://dx.doi.org/10.1007/s00466-004-0592-y.

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Filippi, M., and E. Carrera. "Bending and vibrations analyses of laminated beams by using a zig-zag-layer-wise theory." Composites Part B: Engineering 98 (August 2016): 269–80. http://dx.doi.org/10.1016/j.compositesb.2016.04.050.

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Xiaohui, Ren, Chen Wanji, and Wu Zhen. "A new zig-zag theory and C0 plate bending element for composite and sandwich plates." Archive of Applied Mechanics 81, no. 2 (January 5, 2010): 185–97. http://dx.doi.org/10.1007/s00419-009-0404-0.

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48

Chilkuri, Vijay Gopal, Stefano Evangelisti, Thierry Leininger, and Antonio Monari. "The Electronic Structure of Short Carbon Nanotubes: The Effects of Correlation." Advances in Condensed Matter Physics 2015 (2015): 1–14. http://dx.doi.org/10.1155/2015/475890.

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This paper presents atight bindingandab initiostudy of finite zig-zag nanotubes of various diameters and lengths. The vertical energy spectra of such nanotubes are presented, as well as their spin multiplicities. The calculations performed using thetight bindingapproach show the existence of quasi-degenerate orbitals located around the Fermi level, thus suggesting the importance of high-qualityab initiomethods, capable of a correct description of the nondynamical correlation. Such approaches (Complete Active Space SCF and Multireference Perturbation Theory calculations) were used in order to get accurate ground and nearest excited-state energies, along with the corresponding spin multiplicities.

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Icardi, Ugo, and Andrea Urraci. "Free and Forced Vibration of Laminated and Sandwich Plates by Zig-Zag Theories Differently Accounting for Transverse Shear and Normal Deformability." Aerospace 5, no. 4 (October 11, 2018): 108. http://dx.doi.org/10.3390/aerospace5040108.

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A number of mixed and displacement-based zig-zag theories are derived from the zig-zag adaptive theory (ZZA). As a consequence of their different assumptions on displacement, strain, and stress fields, and layerwise functions, these theories account for the transverse shear and normal deformability in different ways, but their unknowns are independent of the number of layers. Some have features that are reminiscent of ones that have been published in the literature for the sake of comparison. Benchmarks with different length-to-thickness ratios, lay-ups, material properties, and simply supported or clamped edges are studied with the intended aim of contributing toward better understanding the influence of transverse anisotropy on free vibration and the response of blast-loaded, multilayered, and sandwich plates, as well as enhancing the existing database. The results show that only theories whose layerwise contributions identically satisfy interfacial stress constrains and whose displacement fields are redefined for each layer provide results that are in agreement with elasticity solutions and three-dimensional (3D) finite element analysis (FEA) (mixed solid elements with displacements and out-of-plane stresses as nodal degrees of freedom (d.o.f.)) with a low expansion order of polynomials in the in-plane and out-of-plane directions. The choice of their layerwise functions is shown to be immaterial, while theories with fixed kinematics are shown to be strongly case-sensitive and often inadequate (even for slender components).

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WANG, C. M., Z. Y. TAY, A. N. R. CHOWDHUARY, W. H. DUAN, Y. Y. ZHANG, and N. SILVESTRE. "EXAMINATION OF CYLINDRICAL SHELL THEORIES FOR BUCKLING OF CARBON NANOTUBES." International Journal of Structural Stability and Dynamics 11, no. 06 (November 21, 2011): 1035–58. http://dx.doi.org/10.1142/s0219455411004464.

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This paper examines the validity and accuracy of cylindrical shell theories in predicting the critical buckling strains of axially loaded single-walled carbon nanotubes (CNTs). The shell theories considered are the Donnell thin shell theory (DST), the Sanders thin shell theory (SST), and the first-order shear deformation (thick) shell theory (FSDST). Molecular dynamic (MD) simulation solutions for armchair and zig-zag CNTs with clamped ends were used as reference results to assess the shell models. The MD simulations were carried out at room temperature to eliminate the thermal effect on the buckling behavior. By adopting Young's modulus of 5.5 TPa, Poisson's ratio of 0.19, and tube thickness of 0.066 nm, it was found that DST is not able to capture the length dependency of the critical buckling strains and thus it should not be used for buckling analysis of CNTs. On the other hand, SST and FSDST are able to predict the critical buckling strains of armchair and zig-zag CNTs reasonably well for all aspect ratios, especially the results produced by the FSDST are found to be closer to the MD simulation results, because it allows for the effect of transverse shear deformation that becomes significant for CNTs with small aspect ratios. Thus, FSDST is recommended as a very suitable and convenient continuum mechanics model for buckling analysis of CNTs. The superior FSDST model is used to generate critical buckling strains of axially loaded single-walled CNT with different boundary conditions. These results should be useful for designers of nanodevices that make use of CNTs as axially loaded members. It is worth noting that for long and moderately long CNTs, the Timoshenko beam model may be used instead due to its simplicity.

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