• Title/Summary/Keyword: elastic interaction

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Surface elasticity and residual stress effect on the elastic field of a nanoscale elastic layer

  • Intarit, P.;Senjuntichai, T.;Rungamornrat, J.;Rajapakse, R.K.N.D.
    • Interaction and multiscale mechanics
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    • v.4 no.2
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    • pp.85-105
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    • 2011
  • The influence of surface elasticity and surface residual stress on the elastic field of an isotropic nanoscale elastic layer of finite thickness bonded to a rigid material base is considered by employing the Gurtin-Murdoch continuum theory of elastic material surfaces. The fundamental solutions corresponding to buried vertical and horizontal line loads are obtained by using Fourier integral transform techniques. Selected numerical results are presented for the cases of a finite elastic layer and a semi-infinite elastic medium to portray the influence of surface elasticity and residual surface stress on the bulk stress field. It is found that the bulk stress field depends significantly on both surface elastic constants and residual surface stress. The consideration of out-of-plane terms of the surface stress yields significantly different solutions compared to previous studies. The solutions presented in this study can be used to examine a variety of practical problems involving nanoscale/soft material systems and to develop boundary integral equations methods for such systems.

Effect of Ankle Taping Type and Jump Height on Balance during Jump Landing in Chronic Ankle Instability

  • Kim, Mikyoung;Kong, Byungsun;Yoo, Kyungtae
    • Journal of International Academy of Physical Therapy Research
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    • v.11 no.2
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    • pp.2077-2089
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    • 2020
  • Background: Chronic ankle instability is a common injury that decreases balance and negatively affects functional movements, such as jumping and landing. Objectives: To analyze the effect of taping types and jump heights on balance with eyes open and closed during jump landings in chronic ankle instability. Design: Within-subject design. Methods: The study involved 22 patients with chronic ankle instability. They performed both double-leg and single-leg drop jump landings using three conditions (elastic taping, non-elastic taping, and barefoot) on three different jump platforms (30, 38, and 46 cm). Balance was measured using the Romberg's test with eyes open and closed. Results: Interaction effect was not statistically significant. Balance with eyes open and closed was significantly improved in both the elastic taping and non-elastic taping conditions compared to the barefoot condition. There was no significant difference according to the jump height. Conclusion: Individuals with chronic ankle instability demonstrated increased balance ability with eyes open and closed when jump landing. Elastic taping and non-elastic taping on the ankle joint can positively affect balance during landing in individuals with chronic ankle instability.

Finite element calculation of the interaction energy of shape memory alloy (형상기억합금 상호작용 에너지의 유한요소 계산)

  • Yang, Seung-Yong
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.79-84
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    • 2004
  • Strain energy due to the mechanical interaction between self-accommodation groups of martensitic phase transformation is called interaction energy. Evaluation of the interaction energy should be accurate since the energy appears in constitutive models for predicting the mechanical behavior of shape memory alloy. In this paper, the interaction energy is evaluated in terms of theoretical formulation and explicit finite element calculation. A simple example with two habit plane variants was considered. It was shown that the theoretical formulation assuming elastic interaction between the self-accommodation group and matrix gives larger interaction energy than explicit finite element calculation in which transformation softening is accounted for.

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The Effect of Hydrodynamic Interaction on the Dynamics of Dilute Polymer Solution (묽은 고분자 용액의 거동에 대한 Hydrodynamic Interaction의 영향)

  • 안경현
    • The Korean Journal of Rheology
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    • v.4 no.2
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    • pp.127-137
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    • 1992
  • 묽은 고분자 용액의 유변학적 거동을 elastic dumbbell 모델을 사용하여 연구하면서 hydrodynamic interaction(H.I) 효과를 주로 살펴보았다. 먼저 consistent averaging방법을 사용하면서 Oseen tensor와 Rotne-Prager-Yama-kawa(R-P-Y) tensor를 H. I. tensor로 각 각 사용하여 그차이를 비교하였으며 oseen tensor를 사용하는 경우 tti-nger의 알고리듬과 Ahn과 Lee의 알고리듬을 비교하였다. 또 H.I. tensor를 처리하는 방법으로 consistent averaging 방법과 Gaussian approximation 방법의 차이에 대하여도 살펴보았다. Ahn과 Lee 의 알고리듬이 ttinger의 알고리듬보다 훨씬 빠른 계산시간을 보여주었으며 Gaussian approximation 방법을 사용하는 경우 consistent averaging 방법과 달리 second normal stress coefficient가 음의 값을 보이므로 더 합리적인 방법으로 생각된다.

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A Study on the Dynamic Analysis for Flexible Robotic Arms (유연 로보트팔의 동특성 해석에 관한 연구)

  • Kim, Chang-Boo;You, Young-Sun
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.3
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    • pp.107-116
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    • 1993
  • In the design and operation of robitic arm with flexible links, the equation of motion are required to exactly model the interaction between rigid body motion and elastic motion and to be formulated efficientlyl. In this paper, the flexible link is represented by applying the D-H rigid link representation method to measure the elestic deformation. And the equations of motion of robotic arm, which are configured by the generalized coordinates of elastic and rigid degrees of freedom, are formulated from the principle of virtual power. Dynamic characteristics due to elastic deformation of each link are obtained by using F. E. M to model complex shaped link acurately and by eliminating elastic modes of higher order that do not largely affect motion to reduce the number of elastic degrees of freedom. Also presented is the result of simulation of flexible robotic arms whose joints are controlled by direct or PD control.

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Elastic Response of Filled and Unfilled Green Rubbers (충전 및 미충전 미가교 고무의 탄성반응)

  • Lee, K.Y.;Shin, S.;Chung, K.H.;Yoon, T.H.;Kaang, S.
    • Elastomers and Composites
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    • v.38 no.3
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    • pp.273-280
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    • 2003
  • Elastic responses on both pure natural rubber melts with different molecular weights and the rubber compounds mixed with various types of carbon blacks were investigated in this study. Furthermore, the degree of bound rubber was measured for various carbon blacks with different sizes and structures in order to study the interaction between the rubber and carbon blacks, and to study the correlation between the interaction and the elastic responses. As a loading amount of carbon black increased, the degree of bound rubber became higher, particularly far carbon-black particles with smaller sizes and higher structures. The elastic responses of the rubber melt filled with carbon black remarkably improved, as compared with those of unfilled rubber melt, specially in carbon black showing higher contents of bound rubber. Stress relaxation was more delayed and recovery behavior became more elastic, as the molecular weight of the rubber melt increased and the size of carbon-black particles was decreased. Permanent set became higher, as the molecular weight of the rubber melts decreased and the size of carbon-black particles increased.

Study of the Interaction between Tracked Vehicle and Terrain (궤도차량과 토양의 상호작용에 대한 연구)

  • Park, Cheon-Seo;Lee, Seung-Jong
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.2
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    • pp.140-150
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    • 2002
  • The planar tracked vehicle model used in this investigation consists of two kinematically decoupled subsystems, i.e., the chassis subsystem and the track subsystem. The chassis subsystem includes the chassis frame, sprocket, idler and rollers, while the track subsystem is represented as a closed kinematic chain consisting of rigid links interconnected by revolute joints. In this study, the recursive kinematic and dynamic formulation of the tracked vehicle is used to find the vertical terce and the distance of an arbitrary track moved in the driving direction along the track. These distances and vertical forces obtained are used to get the deformation and sinkage of a terrain. The FEM(Finite Element Method) is adopted to analyze the interaction between tracked vehicle and terrain. The terrain is represented by a system of elements wish specified constitutive relationships and considered as a piecewise linear elastic, plastic and isotropic material. When the tracked vehicle is moving with different speeds on the terrain, the elastic and plastic deformations and the maximum sinkage for the four different types of isotropic soils are simulated.

Effect of Slab-base Friction on Response of JCP Slab with Different Material and Geometric Properties

  • Sun, Ren-Juan;Lim, Jin-Sun;Jeong, Jin-Hoon
    • Journal of the Korean Society of Hazard Mitigation
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    • v.7 no.5
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    • pp.99-110
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    • 2007
  • A single slab concrete pavement has been modeled and analyzed by ABAQUS program. The stress and displacement of the JCP slab under traffic load with frictionless contact interaction between slab and base calculated by ABAQUS program have been compared with the results obtained by KENSLABS program. The results of the stresses of the two modeling show similar tendency and the difference of the two modeling is very small however the results of the displacement of the two modeling show some dissimilarity. In order to analyze the effects of material and geometric properties on the responses of slab, some varying parameters were chosen as input for the modeling. The changing parameters include the thickness and elastic modulus of the concrete slab, the thickness and elastic modulus of base and the elastic modulus of the subgrade. The contact interaction between the slab and base layer had been also studied and different friction coefficient 0, 2.5, 6.6, 7.5, 8.9 had been used to simulate the different friction interface condition. The results of the analysis showed that the responses of the concrete slab vary with the material and geometric properties of the pavement structure and the slab-base friction condition.

Static analysis of multiple graphene sheet systems in cylindrical bending and resting on an elastic medium

  • Wu, Chih-Ping;Lin, Chih-Chen
    • Structural Engineering and Mechanics
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    • v.75 no.1
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    • pp.109-122
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    • 2020
  • An asymptotic local plane strain elasticity theory is reformulated for the static analysis of a simply-supported, multiple graphene sheet system (MGSS) in cylindrical bending and resting on an elastic medium. The dimension of the MGSS in the y direction is considered to be much greater than those in the x and z directions, such that all the field variables are considered to be independent of the y coordinate. Eringen's nonlocal constitutive relations are used to account for the small length scale effects in the formulation examining the static behavior of the MGSS. The interaction between the MGSS and its surrounding foundation is modelled as a Winkler foundation with the parameter kw, and the interaction between adjacent graphene sheets (GSs) is considered using another Winkler model with the parameter cw. A parametric study with regard to some effects on the static behavior of the MGSS resting on an elastic medium is undertaken, such as the aspect ratio, the number of the GSs, the stiffness of the medium between the adjacent layers and that of the surrounding medium of the MGSS, and the nonlocal parameter.

Analytical model for high-strength concrete columns with square cross-section

  • Campione, G.
    • Structural Engineering and Mechanics
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    • v.28 no.3
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    • pp.295-316
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    • 2008
  • In the present paper a mechanical model to predict the compressive response of high strength short concrete columns with square cross-section confined by transverse steel is presented. The model allows one to estimate the equivalent confinement pressures exercised by transverse steel during the loading process taking into account of the interaction of the stirrups with the inner core both in the plane of the stirrups and in the space between two successive stirrups. The lateral pressure distributions at hoop levels are obtained by using a simple model of elastic beam on elastic medium simulating the interaction between stirrups and concrete core, including yielding of steel stirrups and damage of concrete core by means of the variation in the elastic modulus and in the Poisson's coefficient. Complete stress-strain curves in compression of confined concrete core are obtained considering the variation of the axial forces in the leg of the stirrup during the loading process. The model was compared with some others presented in the literature and it was validated on the basis of the existing experimental data. Finally, it was shown that the model allows one to include the main parameters governing the confinement problems of high strength concrete members such as: - the strength of plain concrete and its brittleness; - the diameter, the pitch and the yielding stress of the stirrups; - the diameter and the yielding stress of longitudinal bars; - the side of the member, etc.