• Title/Summary/Keyword: Non Local Effects

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Recommendation for the modelling of Donnell shell: The relationship between non-local parameter and frequency

  • Mohamed A. Khadimallah;Muzamal Hussain;Elimam Ali;Sehar Asghar;Abdelouhed Tounsi
    • Computers and Concrete
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    • v.32 no.2
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    • pp.165-172
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    • 2023
  • The vibration analysis of armchair, zigzag and chiral double-walled carbon nanotubes has been developed by inserting the nonlocal theory of elasticity into thin shell theory. First Donnell shell theory is employed while exercising wave propagation approach. Scale effects are realized by using different values of nonlocal parameters under certain boundary conditions. The natural frequencies have been investigated and displayed for various non-local parameters. It is noticed that on increasing nonlocal parameter, the frequency curve tends to decrease. The frequency estimates of clamped-free boundary condition are less than those of clamped-clamped and simply supported computations. The frequency comparisons are presented for armchair, zigzag and chiral nanotubes. The software MATLAB is used to extract the frequencies of double walled carbon nanotubes.

Nonlinear resonance of porous functionally graded nanoshells with geometrical imperfection

  • Wu-Bin Shan;Gui-Lin She
    • Structural Engineering and Mechanics
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    • v.88 no.4
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    • pp.355-368
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    • 2023
  • Employing the non-local strain gradient theory (NSGT), this paper investigates the nonlinear resonance characteristics of functionally graded material (FGM) nanoshells with initial geometric imperfection for the first time. The effective material properties of the porous FGM nanoshells with even distribution of porosities are estimated by a modified power-law model. With the guidance of Love's thin shell theory and considering initial geometric imperfection, the strain equations of the shells are obtained. In order to characterize the small-scale effect of the nanoshells, the nonlocal parameter and strain gradient parameter are introduced. Subsequently, the Euler-Lagrange principle was used to derive the motion equations. Considering three boundary conditions, the Galerkin principle combined with the modified Lindstedt Poincare (MLP) method are employed to discretize and solve the motion equations. Finally, the effects of initial geometric imperfection, functional gradient index, strain gradient parameters, non-local parameters and porosity volume fraction on the nonlinear resonance of the porous FGM nanoshells are examined.

Analysis of boundary conditions effects on vibration of nanobeam in a polymeric matrix

  • Belmahi, Samir;Zidour, Mohamed;Meradjah, Mustapha;Bensattalah, Tayeb;Dihaj, Ahmed
    • Structural Engineering and Mechanics
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    • v.67 no.5
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    • pp.517-525
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    • 2018
  • In this study, we investigate the vibration of single-walled carbon nanotubes embedded in a polymeric matrix using nonlocal elasticity theories with account arbitrary boundary conditions effects. A Winkler type elastic foundation is employed to model the interaction of nanobeam and the surrounding elastic medium. Influence of all parameters such as nonlocal small-scale effects, Winkler modulus parameter, vibration mode and aspect ratio of nanobeam on the vibration frequency are analyzed and discussed. The mechanical properties of carbon nanotubes and polymer matrix are treated and an analytical solution is derived using the governing equations of the nonlocal Euler-Bernoulli beam models. Solutions have been compared with those obtained in the literature and The results obtained show that the non-dimensional natural frequency is significantly affected by the small-scale coefficient, the vibrational mode number and the elastic medium.

Local buckling of reinforcing steel bars in RC members under compression forces

  • Minafo, Giovanni
    • Computers and Concrete
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    • v.22 no.6
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    • pp.527-538
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    • 2018
  • Buckling of longitudinal bars is a brittle failure mechanism, often recorded in reinforced concrete (RC) structures after an earthquake. Studies in the literature highlights that it often occurs when steel is in the post elastic range, by inducing a modification of the engineered stress-strain law of steel in compression. A proper evaluation of this effect is of fundamental importance for correctly evaluating capacity and ductility of structures. Significant errors can be obtained in terms of ultimate bending moment and curvature ductility of an RC section if these effects are not accounted, as well as incorrect evaluations are achieved by non-linear static analyses. This paper presents a numerical investigation aiming to evaluate the engineered stress-strain law of reinforcing steel in compression, including second order effects. Non-linear FE analyses are performed under the assumption of local buckling. A role of key parameters is evaluated, making difference between steel with strain hardening or with perfectly plastic behaviour. Comparisons with experimental data available in the literature confirm the accuracy of the achieved results and make it possible to formulate recommendations for design purposes. Finally, comparisons are made with analytical formulations available in the literature and based on obtained results, a modification of the stress-strain law model of Dhakal and Maekawa (2002) is proposed for fitting the numerical predictions.

Buckling analysis of perforated nano/microbeams with deformable boundary conditions via nonlocal strain gradient elasticity

  • Ugur Kafkas;Yunus Unal;M. Ozgur Yayli;Busra Uzun
    • Advances in nano research
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    • v.15 no.4
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    • pp.339-353
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    • 2023
  • This work aims to present a solution for the buckling behavior of perforated nano/microbeams with deformable boundary conditions using nonlocal strain gradient theory (NLSGT). For the first time, a solution that can provide buckling loads based on the non-local and strain gradient effects of perforated nanostructures on an elastic foundation, while taking into account both deformable and rigid boundary conditions. Stokes' transformation and Fourier series are used to realize this aim and determine the buckling loads under various boundary conditions. We employ the NLSGT to account for size-dependent effects and utilize the Winkler model to formulate the elastic foundation. The buckling behavior of the perforated nano/microbeams restrained with lateral springs at both ends is studied for various parameters such as the number of holes, the length and filling ratio of the perforated beam, the internal length, the nonlocal parameter and the dimensionless foundation parameter. Our results indicate that the number of holes and filling ratio significantly affect the buckling response of perforated nano/microbeams. Increasing the filling ratio increases buckling loads, while increasing the number of holes decreases buckling loads. The effects of the non-local and internal length parameters on the buckling behavior of the perforated nano/microbeams are also discussed. These material length parameters have opposite effects on the variation of buckling loads. This study presents an effective eigenvalue solution based on Stokes' transformation and Fourier series of the restrained nano/microbeams under the effects of elastic medium, perforation parameters, deformable boundaries and nonlocal strain gradient elasticity for the first time.

The Analysis of Welding Deformation in Large Welded Structure by Using Local & Global Model (Local & Global 모델을 이용한 용접구조물 변형 해석에 관한 연구)

  • Jang Kyoung-Bok;Cho Si-Hoon;Jang Tae-Won
    • Journal of Welding and Joining
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    • v.22 no.6
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    • pp.25-29
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    • 2004
  • Some industrial steel structures are composed by components linked by several welding joints to constitute an assembly. The main interest of assembly simulation is to evaluate the global distortion of welded structure. The general method, thermo-elasto-plastic analysis, leads to excessive model size and computation time. In this study, a simplified method called "Local and Global approach" was developed to break down this limit and to provide a accurate solution for distortion. Local and global approach is composed of 3 steps; 1) Local simulation of each welding joint on a dedicated mesh (usually very fine due to high thermal gradients), taking into account for the non linearity of the material properties and the moving heat source. 2) Transfer to the global model of the effects of the welding joints by projection of the plastic strain tensors. 3) Elastic simulation to determine final distortions in global model. The welding deformation test for mock-up structure was performed to verify this approach. The predicted welding distortion by this approach had a good agreement with experiment results.

A Study on Innovation Capability and Business Performance: Multi-Group Analysis by Company Location (혁신역량과 경영성과에 관한 연구: 기업 소재지별 다중집단분석)

  • Choi, Kyu-Sun
    • The Journal of the Korea Contents Association
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    • v.22 no.10
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    • pp.703-722
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    • 2022
  • The concentration of local businesses in the capital region promotes a decrease in the local population and polarization between the capital region and non-capital regions. It affects the competitiveness of local industries and creates a vicious cycle throughout the local economy, society and culture. Therefore, this study classified the companies in the capital region and non-capital regions by group and examined the effect of the innovation capability factors of companies on the creation of business performance. We analyzed the effects of R&D capabilities, which are elements of innovation capability, and open innovation and convergence capabilities on business performance. Smart PLS 3.0 was used for analysis including direct and indirect mediating and moderating effects, multi-group analysis, and structural equation model analysis. As a result, R&D capability did not have a significant effect on business performance, but it has a positive influence towards business performance through convergence capability and open innovation. However, the effectiveness of open innovation in non-capital regions and convergence capabilities in capital region were not statistically significant. In particular, in terms of open innovation, as the difference between groups is statistically clear, follow-up measures are suggested especially in non-capital regions.

A Set-theoretic Account of English Crossover Effects

  • Lee, Gunsoo
    • Korean Journal of English Language and Linguistics
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    • v.1 no.1
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    • pp.101-117
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    • 2001
  • In English, whether or not wh-movement creates weak crossover effects depends upon the type of wh-phrases that cross over. A bare interrogative like who shows a typical weak crossover effect whereas which N type (e.g. which girl) and partitive type (e.g. which of these girls) wh-phrases would show mere weaker and weakest crossover effects, respectively. Previous approaches to English crossover phenomena that resort to a binary notion of specificity or D-linking cannot account for the three-way contrast the three different types of wh-phrases show. To overcome this problem, I argue in this paper that specificity should be a non-binary set-theoretic notion and propose the following subset principle and optimal binding relation: Between two lexical nominal expressions A and B, A is regarded as more specific than B iff the denotation of A comes from a more narrowly defined non-singleton set than B. Between two lexical nominal expressions A and B, if A locally binds B, then the non-singleton set from which the denotation of A comes should be a subset of the set from which the denotation of B comes (i.e. B cannot be more specific than A). The smaller the subset (i.e. the wider the specificity gap between binder and binder), the more optimal the local binding relation is. A locally binds B iff A is coindexed with B, and A c-commands B, and there is no such C that does not bind A but binds B. Finally, I show that partitivity functions to carve out a smaller subset and thus make partitive wh-phrases more specific than simple which N type wh-phrases.

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Effects of Cosmopolitanism and Nationalism on Apparel Product Shopping (세계주의와 자국중심주의가 의류제품의 쇼핑에 미치는 영향)

  • Youn, Song-Yi;Lee, Kyu-Hye
    • Journal of the Korean Society of Clothing and Textiles
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    • v.31 no.7
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    • pp.1085-1096
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    • 2007
  • Globalization of market has put considerable research activities in cosmopolitism and nationalism. In addition, consumer's perception of product's country of origin is widely regarded as an important influence on their shopping behavior. The objective of this paper is to investigate the joint effect of cosmopolitanism and nationalism on shopping orientation and awareness of the country of origin of fashion products among Korean young consumers. Data from 471 young Korean consumers were analyzed. According to the cosmopolitanism/nationalism measure, respondents were segmented into three groups: global, local and glocal group. Results indicated that global and glocal consumers value symbolic and non-conforming aspects of fashion product shopping and were more interested in country of origin of products than local consumers. Global consumers showed higher level of foreign product preference than local and glocal consumers. Some managerial implication for marketing practitioners was suggested.

Small-scale effect on the forced vibration of a nano beam embedded an elastic medium using nonlocal elasticity theory

  • Belmahi, Samir;Zidour, Mohammed;Meradjah, Mustapha
    • Advances in aircraft and spacecraft science
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    • v.6 no.1
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    • pp.1-18
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    • 2019
  • This present article represents the study of the forced vibration of nanobeam of a single-walled carbon nanotube (SWCNTs) surrounded by a polymer matrix. The modeling was done according to the Euler-Bernoulli beam model and with the application of the non-local continuum or elasticity theory. Particulars cases of the local elasticity theory have also been studied for comparison. This model takes into account the different effects of the interaction of the Winkler's type elastic medium with the nanobeam of carbon nanotubes. Then, a study of the influence of the amplitude distribution and the frequency was made by variation of some parameters such as (scale effect ($e_0{^a}$), the dimensional ratio or aspect ratio (L/d), also, bound to the mode number (N) and the effect of the stiffness of elastic medium ($K_w$). The results obtained indicate the dependence of the variation of the amplitude and the frequency with the different parameters of the model, besides they prove the local effect of the stresses.