Numerical homogenization of a linearly elastic honeycomb lattice structure and comparison with analytical and experimental results

2022 ◽  
pp. 104210
Author(s):  
Mohammadreza Moeini ◽  
Mickael Begon ◽  
Martin Lévesque
Author(s):  
Kosuke Furuya ◽  
Shintaro Hara ◽  
Kenta Seino ◽  
Shogo Muramatsu

This paper proposes a boundary operation technique of two-dimensional (2D) non-separable oversampled lapped transforms (NSOLT). The proposed technique is based on a lattice structure consisting of the 2D separable block discrete cosine transform and non-separable redundant support-extension processes. The atoms are allowed to be anisotropic with the oversampled, symmetric, real-valued, compact-supported, and overlapped property. First, the blockwise implementation is developed so that the atoms can be locally controlled. The local control of atoms is shown to maintain perfect reconstruction. This property leads an atom termination (AT) technique as a boundary operation. The technique overcomes the drawback of NSOLT that the popular symmetric extension method is invalid. Through some experimental results with iterative hard thresholding, the significance of AT is verified.


Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 693 ◽  
Author(s):  
Chuong Anthony Tran ◽  
Maciej Gołaszewski ◽  
Emilio Barchiesi

Symmetric in-plane compression of a pantographic lattice structure is modelled and simulated, and the results are compared to previously available experimental data. Said experimental results had shown a peculiar behaviour: depending on the fiber density, the deformed shape could present either one or two swellings under compression. The present article is a preliminary modelling attempt aiming at capturing that behaviour numerically.


1999 ◽  
Vol 55 (7) ◽  
pp. 1251-1256 ◽  
Author(s):  
Hidenori Sato ◽  
Kazuki Takeda ◽  
Koji Tani ◽  
Tomoya Hino ◽  
Tetsuji Okada ◽  
...  

In the purple membrane of Halobacterium salinarium, bacteriorhodopsin trimers are arranged in a hexagonal lattice. When purple membrane sheets are incubated at high temperature with neutral detergent, membrane vesicularization takes place, yielding inside-out vesicles with a diameter of 50 nm. The vesicular structure becomes unstable at low temperature, where successive fusion of the vesicles yields a crystal which is composed of stacked planar membranes. X-ray crystallographic analysis reveals that the bacteriorhodopsin trimers are arranged in a honeycomb lattice in each membrane layer and that neighbouring membranes orient in opposite directions. The native structure of the trimeric unit is preserved in the honeycomb lattice, irrespective of alterations in the in-plane orientation of the trimer. One phospholipid tightly bound to a crevice between monomers in the trimeric unit is suggested to act as a glue in the formation of the trimer.


2009 ◽  
Vol 83 (18) ◽  
pp. 9140-9150 ◽  
Author(s):  
Himani Bisht ◽  
Andrea S. Weisberg ◽  
Patricia Szajner ◽  
Bernard Moss

ABSTRACT Infectious poxvirus particles are unusual in that they are brick shaped and lack symmetry. Nevertheless, an external honeycomb lattice comprised of a capsid-like protein dictates the spherical shape and size of immature poxvirus particles. In the case of vaccinia virus, trimers of 63-kDa D13 polypeptides form the building blocks of the lattice. In the present study, we addressed two questions: how D13, which has no transmembrane domain, associates with the immature virion (IV) membrane to form the lattice structure and how this scaffold is removed during the subsequent stage of morphogenesis. Interaction of D13 with the A17 membrane protein was demonstrated by immunoaffinity purification and Western blot analysis. In addition, the results of immunogold electron microscopy indicated a close association of A17 and D13 in crescents, as well as in vesicular structures when crescent formation was prevented. Further studies indicated that binding of A17 to D13 was abrogated by truncation of the N-terminal segment of A17. The N-terminal region of A17 was also required for the formation of crescent and IV structures. Disassembly of the D13 scaffold correlated with the processing of A17 by the I7 protease. When I7 expression was repressed, D13 was retained on aberrant virus particles. Furthermore, the morphogenesis of IVs to mature virions was blocked by mutation of the N-terminal but not the C-terminal cleavage site on A17. Taken together, these data indicate that A17 and D13 interactions regulate the assembly and disassembly of the IV scaffold.


2012 ◽  
Vol 152-154 ◽  
pp. 634-637 ◽  
Author(s):  
Yi Ze Sun ◽  
Zi Na Zhu ◽  
Zhuo Meng ◽  
Xiao Ping Gao

In order to test whether the crystallinity and orientation of ramie fibers have changed after they are treated by the lattice distortion modification processing technology, this paper does some experiments on it. Firstly, process ramie fibers by the lattice distortion modification processing equipment. Then use X-ray diffraction method to determine the crystallinity and orientation of pristine and modified ramie fibers. Finally analyse the effect of lattice distortion modification processing on the lattice structure of ramie fiber. The experimental results show that the lattice structure of ramie fiber has changed after modification processing, with crystallinity, grain size decreasing obviously and orientation slight descent, which make ramie fibers appear softer and more puffy from macrocosmic perspective.


2021 ◽  
pp. 2100214
Author(s):  
André Niebur ◽  
Tommy Lorenz ◽  
Jan-Ole Joswig ◽  
Gotthard Seifert ◽  
Sibylle Gemming ◽  
...  

Author(s):  
Raghottam M Sattigeri ◽  
Prafulla K Jha

Abstract The discovery of group IV and V elemental Xene’s with topologically non-trivial characters in their honeycomb lattice structure (HLS) has led to extensive efforts in realising analogous behaviour in group VI elemental monolayers. Theoretically; it was concluded that, group VI elemental monolayers cannot exist in HLS. However, some recent experimental evidence suggests that group VI elemental monolayers can be realised in HLS. In this letter, we report HLS of group VI elemental monolayer (such as, Tellurene) can be realised to be dynamically stable when functionzalised with Oxygen. The functionalization leads to, peculiar orbital filtering effects (OFE) and broken spatial inversion symmetry which gives rise to the non-trivial topological character. The exotic quantum behaviour of this system is characterized by, spin-orbit coupling induced large-gap (≈ 0.36 eV) with isolated Dirac cone along the edges indicating potential room temperature spin-transport applications. Further investigations of spin Hall conductivity and the Berry curvatures unravel high conductivity as compared to previously explored Xene’s alongside the potential valley Hall effects. The non-trivial topological character is quantified in terms of the Z2 invaraint as ν = 1 and Chern number C = 1. Also, for practical purposes, we report that, hBN/TeO/hBN quantum-wells can be strain engineered to realize a sizable nontrivial gap (≈ 0.11 eV). We finally conclude that, functionalization of group VI elemental monolayer with Oxygen gives rise to, exotic quantum properties which are robust against surface oxidation and degradations while providing viable electronic degrees of freedom for spintronic applications.


2013 ◽  
Vol 815 ◽  
pp. 893-897
Author(s):  
Xue Guang Dong ◽  
Hong Guang Zhang ◽  
Yong Tao Li ◽  
Hao Liu ◽  
Kai Chen ◽  
...  

The composites of polycrystalline (La1.85Sr0.15CuO4)1-x(La0.5Sr0.5MnO3)x were prepared by solid state reaction method. By means of X-ray absorption spectroscopy, it is found that electrons can transit at grain boundaries from La1.85Sr0.15CuO4 to La0.5Sr0.5MnO3. Additional holes are formed in La1.85Sr0.15CuO4 when the electron transitions happen. The experimental results of both X-ray absorption near edge structure and extended X-ray absorption fine structure excluded the possibility of that the electron transitions are induced by local lattice structure. According to the X-ray absorption experimental results of O K-edge of the La1.85Sr0.15CuO4 and La0.5Sr0.5MnO3 materials, a possible mechanism of the electron transitions and a phenomenological model of the band structure around Fermi level are proposed to explain the transition behavior.


Materials ◽  
2018 ◽  
Vol 11 (8) ◽  
pp. 1430 ◽  
Author(s):  
Somasundaram Prasadh ◽  
Santhosh Suresh ◽  
Raymond Wong

Scaffolds are physical substrates for cell attachments, proliferation, and differentiation, ultimately leading to tissue regeneration. Current literature validates tissue engineering as an emerging tool for bone regeneration. Three-dimensionally printed natural and synthetic biomaterials have been traditionally used for tissue engineering. In recent times, graphene and its derivatives are potentially employed for constructing bone tissue engineering scaffolds because of their osteogenic and regenerative properties. Graphene is a synthetic atomic layer of graphite with SP2 bonded carbon atoms that are arranged in a honeycomb lattice structure. Graphene can be combined with natural and synthetic biomaterials to enhance the osteogenic potential and mechanical strength of tissue engineering scaffolds. The objective of this review is to focus on the most recent studies that attempted to explore the salient features of graphene and its derivatives. Perhaps, a thorough understanding of the material science can potentiate researchers to use this novel substitute to enhance the osteogenic and biological properties of scaffold materials that are routinely used for bone tissue engineering.


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