EFFECTIVE DEFORMATION OF PERIDYNAMIC RANDOM STRUCTURE BAR SUBJECTED TO INHOMOGENEOUS BODY-FORCE

Author(s):  
Valeriy A. Buryachenko
Author(s):  
Valeriy A. Buryachenko

Abstract A statistically homogeneous random bar with the bond-based peridynamic properties of constituents is considered for a static case. Estimation of effective properties for the random structure peridynamic composites can be considered as a straightforward generalisation of the corresponding classical results for locally elastic composites which were obtained for both statistically homogeneous composites and homogeneous remote loading. In such a case the effective properties of both the peri-dynamic composites and locally elastic ones are described by a constant tensor of local stifness. However, even for locally elastic composites subjected to inhomogeneous loading, the effective deformations are described by a nonlocal (either the differential or integral) operator relaiting a statistical average of stresses in the point with a statistical average of strains in the vicinity of the point being considered. On the other hand, to the best authors’ knowledge, there are no academic publications analyzing the mentioned effective deformations of locally elastic composites due to prescribed inhomogeneous body-forces. Thus, the current paper deducated to the estimation of effective deformatiobs of 1D statistically homogeneous peridynamic composite bar for the prescribed self equilibrated body-forces has no known locally elastic counterpart. A sabsequent simplification is described by the dilute approximation method assuming coinsidence of the effective field (acting on the inclusions) with the applied field when interaction of inclusions is neglegible. The method is based on estimation of a perturbator introduced by one inclusion that is, in fact, the solutions of the basic problem for one inclusion inside the infinite peristatic matrix subjected to the body-force. The statistical averages of both the displacement and stresses are estimated by summation of these perturbators for all possible location of inclusions.


2016 ◽  
Vol 47 (1) ◽  
pp. 51-63
Author(s):  
Sergey Viktorovich Manuilovich
Keyword(s):  

Author(s):  
Di Chen ◽  
Kengo Asada ◽  
Satoshi Sekimoto ◽  
Hiroyuki Nishida ◽  
Kozo Fujii

Author(s):  
Prabhat Kumar Sahoo ◽  
Neha S.L ◽  
Arzoo Pannu

Lipids are used as vehicles for the preparation of various formulations prescribed for administrations, including emulsions, ointments, suspension, tablets, and suppositories. The first parental nano-emulsion was discovered from the 1950s when it was added to the intravenous administration of lipid and lipid-soluble substances. Lipid-based drug delivery systems are important nowadays. Solid nanoparticles (SLN) and Nanostructured lipid carriers (NLC) are very proficient due to the ease of production process, scale-up capability, bio-compatibility, the biodegradability of formulation components and other specific features of the proposed route. The administration or nature of the materials must be loaded into these delivery systems. The main objectives of this review are to discuss an overview of second-generation nanoparticles, their limitations, structures, and route of administration, with emphasis on the effectiveness of such formulations. NLC is the second generation of lipid nanoparticles having a structure like nanoemulsion. The first generation of nanoparticles was SLN. The difference between both of them is at its core. Both of them are a colloidal carrier in submicron size in the range of 40-1000 nm. NLC is the most promising novel drug delivery system over the SLN due to solving the problem of drug loading and drug crystallinity. Solid and liquid lipids combination in NLC formation, improve its quality as compare to SLN. NLC has three types of structures: random, amorphous, and multiple. The random structure containing solid-liquid lipids and consisting crystal and the liquid lipid irregular in shape; thereby enhance the ability of the lipid layer to pass through the membrane. The second is the amorphous structure. It is less crystalline in nature and can prevent the leakage of the loaded drug. The third type is multiple structures, which have higher liquid lipid concentrations than other types. The excipients used to form the NLC are bio-compatible, biodegradable and non-irritating, most of which can be detected using GRAS. NLC is a promising delivery system to deliver the drug through pulmonary, ocular, CNS, and oral route of administration. Various methods of preparation and composition of NLC influence its stability Parameters. In recent years at the educational level, the potential of NLC as a delivery mechanism targeting various organs has been investigated in detail.


Open Physics ◽  
2020 ◽  
Vol 18 (1) ◽  
pp. 881-896
Author(s):  
Chunrui Wu ◽  
Tiechen Zhang ◽  
Jiale Fu ◽  
Xiaori Liu ◽  
Boxiong Shen

Abstract In this article, lattice Boltzmann method (LBM) is used to simulate the multi-scale flow characteristics of the engine particulate filter at the pore scale and the representative elementary volume (REV) scale, respectively. Four kinds of random wall-pore structures are considered, which are circular random structure, square random structure, isotropic quartet structure generation set (QSGS), and anisotropic QSGS, with difference analysis done. In terms of the REV scale, the influence of different inlet flow velocities and wall permeabilities on the flow in single channel is analyzed. The result indicates that the internal seepage laws of random structures constructed in this article and single channel are in accordance with Darcy’s law. Circular random structure has better permeability than square random structure. Isotropic QSGS has better fluidity than anisotropic one. The flow in single channel is similar to Poiseuille flow. The flow lines in the channel are complicated and a large number of vortices appear at the ends of channel with high inlet flow rate. With the increase of inlet velocity, the static pressure in channel gradually increases along the axial direction as well as the seepage velocity. The temperature field in the channel becomes more uniform as the flow velocity increases, and the higher temperature distribution appears on the wall of the porous media.


2021 ◽  
Vol 33 (3) ◽  
pp. 037115
Author(s):  
Di Chen ◽  
Kengo Asada ◽  
Satoshi Sekimoto ◽  
Kozo Fujii ◽  
Hiroyuki Nishida

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Carla Lupo ◽  
Evan Sheridan ◽  
Edoardo Fertitta ◽  
David Dubbink ◽  
Chris J. Pickard ◽  
...  

AbstractUsing spin-assisted ab initio random structure searches, we explore an exhaustive quantum phase diagram of archetypal interfaced Mott insulators, i.e. lanthanum-iron and lanthanum-titanium oxides. In particular, we report that the charge transfer induced by the interfacial electronic reconstruction stabilises a high-spin ferrous Fe2+ state. We provide a pathway to control the strength of correlation in this electronic state by tuning the epitaxial strain, yielding a manifold of quantum electronic phases, i.e. Mott-Hubbard, charge transfer and Slater insulating states. Furthermore, we report that the electronic correlations are closely related to the structural oxygen octahedral rotations, whose control is able to stabilise the low-spin state of Fe2+ at low pressure previously observed only under the extreme high pressure conditions in the Earth’s lower mantle. Thus, we provide avenues for magnetic switching via THz radiations which have crucial implications for next generation of spintronics technologies.


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