A Multiscale Modeling Approach for Carbon Nanotubes

2010 ◽  
Vol 97-101 ◽  
pp. 4201-4205
Author(s):  
Yu Zhou Sun ◽  
Jin Yan Wang ◽  
K.M. Liew

This paper introduces a multiscale modeling approach for carbon nanotubes (CNTs), in which a fine continuum model that has been developed by the present authors is employed to implement the continuum modleing. The entire domain is decomposed into a continuum modeling region and an atomic region with an overlapping region. For the atomic region, the atomic finite element method (AFEM) is used to trace the individual atomic motion. Whereas, the continuum region is viewed as the higher-order continuum media, and the mesh-free method is adopted to implement the continuum numerical discrization. For the overlapping region, the bridging domain method is used to efficiently couple two scales. Numerical computation is carried out and several examples are discussed.

2020 ◽  
Vol 22 (36) ◽  
pp. 20693-20703 ◽  
Author(s):  
Cheriyacheruvakkara Owais ◽  
Chris John ◽  
Rotti Srinivasamurthy Swathi

A swarm intelligence modeling approach together with the continuum approximation for carbon nanotubes unravels confinement effects for noble gas clusters.


2020 ◽  
Vol 17 (10) ◽  
pp. 2050006
Author(s):  
Can Wang ◽  
An Deng ◽  
Abbas Taheri ◽  
Louis Ge

Geotechnical systems often examine interactions that occur between continuum bodies and granular soils. The systems and interactions can be accurately simulated by using multiscale coupling approaches. The model for the continuum bodies is often constructed into a mesh. The meshing, however, is time consuming for a huge spatial system and if distorted is subject to adjustments. A mesh-free approach can be used to eliminate these drawbacks. In this study, a mesh-free approach for simulating continuum–granular systems is presented. This approach combines element-free Galerkin (EFG) and discrete element (DE) methods to approximate the interactions. The capabilities of the coupled EFG–DE method are validated through its solving two example problems: the cantilever beam–disc system and Cundall’s Nine Disc Test. The proposed approach appears to be an efficient and promising tool to model multiscale, multibody contacting problems.


2014 ◽  
Vol 31 (7) ◽  
pp. 1261-1282 ◽  
Author(s):  
Seyed Mahmoud Hosseini

Purpose – The purpose of this paper is to propose a hybrid mesh-free method based on generalized finite difference (GFD) and Newmark finite difference methods to study the elastic wave propagation in functionally graded nanocomposite reinforced by carbon nanotubes (FGNRCN). The presented hybrid mesh-free method is applied for a thick hollow cylinder, which is made of FGNRCN and excited by various mechanical shock loadings. Design/methodology/approach – The FG nanocomposite cylinder is assumed to be under shock loading. The elastic wave propagation is obtained and studied for various nonlinear grading patterns and distributions of the aligned carbon nanotubes. The distribution of carbon naotubes in FG nanocomposite are considered to vary as nonlinear function of radius, which varies with various nonlinear grading patterns continuously through radial direction. The effective material properties of functionally graded carbon nanotube are estimated using a micro-mechanical model. Findings – The mechanical shock analysis of FGNRCN thick hollow cylinder is carried out and the dynamic behavior of displacement field and the time history of radial displacement are obtained for various grading patterns. An effective hybrid mesh-free method based on GFD and Newmark finite difference methods is presented to calculate the average velocity of elastic wave propagation in FGNRCN. The average velocity of elastic wave propagation is obtained for various grading patterns and various kinds of volume fraction. The effects of some parameters on average velocity of elastic wave propagation are obtained and studied in detail. Originality/value – The calculation of elastic radial wave propagation in a FGNRCN thick hollow cylinder is presented using a hybrid mesh-free method. The effects of some parameters on wave propagation such as various grading patterns of distribution of carbon nanotubes are studied in details.


2016 ◽  
Author(s):  
Krzysztof Grabowski ◽  
Paulina Zbyrad ◽  
Wieslaw J. Staszewski ◽  
Tadeusz Uhl ◽  
Kazimierz Wiatr ◽  
...  

1970 ◽  
Vol 6 (1) ◽  
pp. 32-42
Author(s):  
Елена Старовойтенко

Персонологическая интерпретация текстов предполагает реализацию общенаучных, а также специфических для персонологии, герменевтических установок, к которым относятся: установка на интерпретацию текста как исследование, установка на разнообразие герменевтических действий с текстом, установка на выявление неисследованных содержаний текста, установка на творческое постижение тайн текста, установка на целостное отношение к личности и "Я" автора текста, установка на выявление способности автора быть "практикующим феноменологом", установка на определение места изучаемого текста в континууме текстовых репрезентаций "личности", установка на соотнесение своего понимания текста с другими интерпретациями и их интеграцию, установка на раскрытие сущности авторской "идеи личности", возможное только в единстве интерпретаций, установка на построение и применение герменевтической модели, определяющей процедуру интерпретации как исследования и творчества, установка на определение места проделанного герменевтического поиска в культуре познания и жизни личности, установка на интерпретацию различных видов "текстов личности". Personological interpretation of texts suggests the implementation of the general scientific and also hermeneutical settings specific for Personology which include the setting of the interpretation of the text as a research, setting of a variety of hermeneutical actions with the text, setting to identify unexplored contents of the text, setting of the creative comprehension of the mysteries of the text, setting of the integrity of the attitude of the individual and the "I" of the author of the text, setting to reveal the author's ability to be "practicing phenomenologist", setting of the definition of the place in the text in the continuum of textual representations of the "personality", setting in the correlation of the understanding of the text with other interpretations and their integration, setting of the disclosure of the author's "ideas person" is possible only in the unity of interpretation, setting of the construction and usage of hermeneutical models defining the procedure for the interpretation of both studies and work, the setting to determine the place of hermeneutical research in culture and knowledge of a person's life, setting of the interpretation of various types of "texts of the individual."


Geomechanics ◽  
2005 ◽  
Author(s):  
Akira Murakami ◽  
Shin'ichi Arimoto ◽  
Tatsuya Setsuyasu ◽  
Tatsuro Nishiyama

2014 ◽  
Vol 611-612 ◽  
pp. 868-875 ◽  
Author(s):  
Hichem Abdessalam ◽  
Boussad Abbès ◽  
Yu Ming Li ◽  
Ying Qiao Guo ◽  
Elvis Kwassi ◽  
...  

This paper deals with the parameter identification for polyurethane foaming process simulation by using an inverse analysis coupled with a Finite Pointset Method. Simultaneous measurements of the foam height rise, the reaction temperature and the viscosity on a cylindrical cardboard test tube are obtained by using the foam measurement system (FOAMAT). The simulation of the foam expansion is obtained by solving unsteady Navier-Stokes equations coupled with the energy equation, the curing reaction (reaction of isocyanate with polyol) and the foaming reaction (reaction of isocyanate with water to emit the CO2 gas) by using a mesh-free method. The inverse identification method consists in determining the parameters by comparing the computed quantities (height rise, reaction temperature and viscosity) computed by the finite pointset method to those measured experimentally.


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