• Title/Summary/Keyword: k-set contraction

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Finite element modeling of high Deborah number planar contraction flows with rational function interpolation of the Leonov model

  • Youngdon Kwon;Kim, See-Jo;Kim, Seki
    • Korea-Australia Rheology Journal
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    • v.15 no.3
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    • pp.131-150
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    • 2003
  • A new numerical algorithm of finite element methods is presented to solve high Deborah number flow problems with geometric singularities. The steady inertialess planar 4 : 1 contraction flow is chosen for its test. As a viscoelastic constitutive equation, we have applied the globally stable (dissipative and Hadamard stable) Leonov model that can also properly accommodate important nonlinear viscoelastic phenomena. The streamline upwinding method with discrete elastic-viscous stress splitting is incorporated. New interpolation functions classified as rational interpolation, an alternative formalism to enhance numerical convergence at high Deborah number, are implemented not for the whole set of finite elements but for a few elements attached to the entrance comer, where stress singularity seems to exist. The rational interpolation scheme contains one arbitrary parameter b that controls the singular behavior of the rational functions, and its value is specified to yield the best stabilization effect. The new interpolation method raises the limit of Deborah number by 2∼5 times. Therefore on average, we can obtain convergent solution up to the Deborah number of 200 for which the comer vortex size reaches 1.6 times of the half width of the upstream reservoir. Examining spatial violation of the positive definiteness of the elastic strain tensor, we conjecture that the stabilization effect results from the peculiar behavior of rational functions identified as steep gradient on one domain boundary and linear slope on the other. Whereas the rational interpolation of both elastic strain and velocity distorts solutions significantly, it is shown that the variation of solutions incurred by rational interpolation only of the elastic strain is almost negligible. It is also verified that the rational interpolation deteriorates speed of convergence with respect to mesh refinement.

Effect of PNF Lower Extremity Pattern on Selective Muscle Contraction of the Contralateral Lower Extremity in Healthy Subjects (정상인에 적용한 PNF 하지 패턴이 반대측 하지의 선택적 근수축에 미치는 영향)

  • Kang, Tae-Wook;Jung, Ju-Hyeon
    • PNF and Movement
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    • v.18 no.2
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    • pp.255-263
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    • 2020
  • Purpose: The purpose of this study was to investigate the effect of proprioceptive neuromuscular facilitation (PNF) lower extremity pattern on the dominant leg on muscle activity of the lower extremity supported by the ground. Methods: The subjects were 20 healthy males living in Busan. All subjects performed four direction PNF lower extremity patterns, and data were collected by surface electromyography from the gluteus medius (GM), tensor fascia latae (TFL), vastus medialis oblique (VMO), vastus lateralis oblique (VLO), and semitendinosus (STD) muscles of the opposite lower extremity during PNF lower extremity pattern. The PNF lower extremity pattern applied to the dominant leg was (1) flexion/adduction/external rotation with knee flexion; (2) extension/abduction/internal rotation with knee extension; (3) flexion/abduction/internal rotation with knee flexion; and (4) extension/adduction/external rotation with knee extension pattern, repeated 3 times per pattern and using the average value of the collected results. Collected muscle activity values were analyzed by one-way ANOVA, and post-hoc Tukey testing was performed to check between-group differences. The statistical significance level was set at α = 0.05. Results: GM and TFL flexion/abduction/internal rotation pattern with knee flexion was significantly higher than other patterns. VMO and VLO extension/adduction/external rotation pattern with knee extension was significantly higher than other patterns. STD flexion/adduction/external rotation pattern with knee flexion was significantly higher than other patterns. Conclusion: The study confirms differences in lower extremity muscle activity for the PNF lower extremity pattern, indicating that selective muscle contraction induction is possible using a pattern appropriate to the purpose of treatment.

The Asymmetric Relationship between Output Volatility and Growth : Evidence from the U.K. Industrial Production (영국 산업생산 자료에 나타난 성장률과 변동성간의 비대칭적 관계)

  • Kim, Jan R.
    • International Area Studies Review
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    • v.14 no.3
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    • pp.86-107
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    • 2010
  • Prior research on the relationship between output volatility and growth has produced mixed results, failing to provide clear empirical evidence on the sign of the relationship. In this paper, we raise the possibility that such failure is due to misspecification in empirical models previously used, i.e., not taking into account the business cycle dependence of the volatility-growth relation. We set off with the conjecture that higher volatility exerts qualitatively different effect on growth depending on whether the economy is in expansion or contraction. We estimate a series of ARCH-type models with the monthly industrial production data of the U.K., and find strong evidence suggesting that the volatility-growth relation is positive when the economy is in expansion, while higher volatility lowers growth rate in the contraction phase. We also find evidence supporting that the volatility-growth relation estimated in the paper captures a a causal relation, not a bidirectional correlation.

A Study of Hydrogen Embrittlement on a Material of CNG Storage Tank (CNG 저장용기 재료의 수소취성에 관한 연구)

  • Han, J.O.;Lee, Y.C.;Lee, J.S.;Chae, J.M.;Hong, S.H.
    • Journal of the Korean Institute of Gas
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    • v.15 no.2
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    • pp.9-14
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    • 2011
  • A set of test was conducted on a SA-372 steel for CNG storage tank to study the effect of hydrogen embrittlement. Tensile tests were carried out several conditions such as CNG, HCNG and H2 gas environment including air and Ar under the 35 MPa. Also, the test speed was set at 4*10^-4/s and 4*10^-5/s respectively. To maintain the high pressure for environmental gas during test process, we chose MTS which was installed autoclave. Test results showed that tensile stress, elongation rate and cross sectional contraction under Ar and CNG charging condition were similar to that of reference of air. And there was little bit change with test speed variations. However, hydrogen added conditions such as HCNG and H2 were revealed noticeable change in elongation rate and cross sectional contraction. Tensile stress was still uniform for all conditions. From the results, the effect of hydrogen embrittlement was confirmed on the hydrogen enriched conditions. Also its effect was showed more strong with much hydrogen concentration and slower test speed.

Estimation of Parameters in a Variable Displacement Piston Pump (가변용량형 피스톤펌프의 파라미터 추정)

  • Huh J.Y.;Burton R.
    • Transactions of The Korea Fluid Power Systems Society
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    • v.1 no.4
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    • pp.9-14
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    • 2004
  • An estimation technique called the Extended Kalman filter is used to estimate viscous friction, spring initial contraction, and the spring constant on the swash plate of a variable displacement pump. The feasibility of the approach was established using a simulation study. It showed that these parameters could be estimated very accurately in a reliable and independent fashion. A special experimental system was set up to facilitate the measurement of certain states to enhance the Kalman Filtering approach. The aforementioned parameters were estimated and found to be reasonably repeatable for a common operating point. It was very evident that as the operating conditions changed (i.e. temperature) so did the estimated values of certain parameters such as viscous friction. This was believed to be a good verification test for the approach.

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Elastic Behavior of Zeolite Mesolite under Hydrostatic Pressure (제올라이트 메소라이트의 수압 하 탄성특성)

  • Lee, Yong-Jae;Lee, Yong-Moon;Seoung, Dong-Hoon;Jang, Young-Nam
    • Economic and Environmental Geology
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    • v.42 no.5
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    • pp.509-512
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    • 2009
  • Powder diffraction patterns of the zeolite mesolite ($Na_{5.33}Ca_{5.33}Al_{16}Si_{24}O_{80}{\cdot}21.33H_2O$), with a natrolite framework topology were measured as a function of pressure up to 5.0 GPa using a diamond-anvil cell and a $200{\mu}m$-focused monochromatic synchrotron X-ray. Under the hydrostatic conditions mediated by pore-penetrating alcohol and water mixture, the elastic behavior of mesolite is characterized by continuous volume expansion between ca. 0.5 and 1.5 GPa, which results from expansion in the ab-plane and contraction along the c-axis. Subsequent to this anomalous behavior, changes in the powder diffraction patterns suggest possible reentrant order-disorder transition. The ordered layers of sodium- and calcium-containing channels in a 1:2 ratio along the b-axis attribute to the $3b_{natrolite}$ cell below 1.5 GPa. When the volume expansion is completed above 1.5 GPa, such characteristic ordering reflections disappear and the $b_{natrolite}$ cell persists with marginal volume contraction up to ca. 2.5 GPa. Further increase in pressure leads to progressive volume contraction and appears to generate another set of superlattice reflections in the $3c_{natrolite}$ cell. This suggests that mesolite in the pressure-induced hydration state experiences order-disorder-order transition involving the motions of sodium and calcium cations either through cross-channel diffusion or within the respective channels.

Effects of Cooling on Repeated Muscle Contractions and Tendon Structures in Human (냉각이 반복된 근수축과 사람의 건 구조에 미치는 영향)

  • Chae, Su-Dong;Jung, Myeong-Soo;Horii, Akira
    • The Journal of Korean Physical Therapy
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    • v.18 no.6
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    • pp.1-11
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    • 2006
  • Purpose: This study compared the effects of non-cold and cold conditions on the viscoelastic properties of tendon structures in vivo. Methods: Seven male subjects perfomed plantar flesion exercise with maximal isokinetic voluntary contraction, which consisted of muscle contraction for 6 see and relaxation for 60 secs, 10 times for 1 set, Totally 10 sets were repeated. Before and after each task, the elongation of the tendon and aponeurosis of the medial gastrocnemius muscle (MG) was directly measured by ultrasonography. (The relationship between the estimated tendon force and tendon elongation.) Tendon cross-sectional area and ankle joint moment arm were obtained from magnetic resonance imaging (MRI). The tendon force was calculated from the joint moments and the tendon moment arm and stress was obtained by dividing force by cross-sectional areas (CSA). The strain was measured from the displacements normalized to tendon length. Results: After cooling, the tendon force was larger in cold than non-cold. The value of the tendon stiffness of MVC were significantly higher under the cold condition than under the non-cold condition. The maximal strain and stress of $7.4{\pm}0.7%$ and $36.4{\pm}1.8$ MPa in non-cold and $7.8{\pm}8.5%,\;31.8{\pm}1.1$ MPa in cold (P<0.05). Conclusion: This study shows for the first time that the muscle endurance in cooling increases the stiffness and Young's modulus of human tendons. The improvement in muscle endurance with cooling was directly related to muscle and tendon.

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Immediate Effects of Using the PNF Contract-Relax Technique in the Close Kinetic Chain Position on the Gait Ability and Gastrocnemius Muscle Tone of Stroke Patients (닫힌 사슬 자세에서의 PNF 수축-이완 기법이 뇌졸중 환자의 장딴지 근육 긴장도와 보행능력에 미치는 즉각적 효과)

  • Moon, Sang-Hyun
    • PNF and Movement
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    • v.15 no.1
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    • pp.35-40
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    • 2017
  • Purpose: The purpose of this study was to determine the immediate effects of using the proprioceptive neuromuscular facilitation (PNF) contract-relax technique in the close kinetic chain position on the gait ability and gastrocnemius muscle tone of stroke patients. Methods: The subjects were patients who had strokes due to cerebrum infarction and hemorrhage. The subjects participated in exercise with the PNF contract-relax technique in the standing-on-elbow position with a high table, and the affected lower leg was placed in the posterior position. The PNF contract-relax technique was applied at the position in which the ankle plantar-flexors were in a sufficiently elongated position. After performing twice in each range, while the muscle was elongated, the affected side was moved further back and a new range was set. In each session, the time of contraction was set to 8 seconds, and the resting time was set to 5 seconds; however, if the patient felt tired, they received more resting time during the intervention. The Myoton Pro and 10 m walking test were used to measure the muscle tone and gait ability both pre- and post-intervention. Results: After participating in the program, the muscle tone decreased and the gait ability improved in the ankle plantar-flexors, as determined by the Myoton Pro and 10 m walking test. Conclusion: The PNF contract-relax technique can help to decrease muscle tone in ankle plantar-flexors with hypertonus and increase the gait ability in stroke patients.

Effects of Abdominal Exercise Methods on Breathing Ability (복부 운동 방법에 따른 호흡기능 변화 비교)

  • Bae, Wonsik;Moon, Hyunju;Lee, Keoncheol
    • Journal of The Korean Society of Integrative Medicine
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    • v.8 no.1
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    • pp.137-146
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    • 2020
  • Purpose : The enhancement of abdominal muscles increases the activation and contraction of respiratory muscles, including the diaphragm. Generally, diaphragm exercises are applied to increase the breathing ability of patients with respiratory disease. Previous studies have shown that breathing capacity can be increased through abdominal muscle strengthening exercises. However, studies on breathing ability are rare and it is doubtful whether these affect respiratory ability more than diaphragm exercises. Therefore, this study seeks to compare whether abdominal exercises can improve breathing ability and whether any increase is comparable to diaphragm exercises. Methods : After selecting subjects, the place of intervention was separated for blindness. The plank group was allowed to relax for 30 seconds after 30 seconds of planking; this was set at three and increased by one set each week. Subjects in the draw-in group were allowed to relax for 30 seconds after maintaining the draw-in contraction state for 30 seconds and this was done for 15 minutes. Subjects in the control group underwent abdominal dilation for five seconds of inspiration time and expired air for five seconds by exposing the lips; breathing was performed repeatedly for 15 minutes. Subjects in each group measured their respiration function three times before intervention, three weeks after the commencement of intervention and after intervention. Spirovit SP-1 was used to measure respiratory function. In each group, repeated ANOVA was used to compare the respiratory function over time and one-way ANOVA was used to compare the respiratory function between groups. The post hoc was conducted using the LSD method. Results : There was a significant increase in respiratory ability between the forced vital capacity (FVC), forced expiratory volume in one second (FEV1) and peak expiratory flow (PEF), forced expiratory volume in one second (FEV1)/forced vital capacity (FVC) according to the six-week period. However, there was no difference between each group. Conclusion : For patients with low respiratory muscle strength, plank exercises and abdominal draw-in are beneficial exercises for improving respiratory function. These are expected to be widely used in clinical practice for patients with weak respiratory muscles.

MODIFIED KRASNOSELSKI-MANN ITERATIONS FOR NONEXPANSIVE MAPPINGS IN HILBERT SPACES

  • Naidu, S.V.R.;Sangago, Mengistu-Goa
    • Journal of applied mathematics & informatics
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    • v.28 no.3_4
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    • pp.753-762
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    • 2010
  • Let K be a nonempty closed convex subset of a real Hilbert space H. Let T : K $\rightarrow$ K be a nonexpansive mapping with a nonempty fixed point set Fix(T). Let f : K $\rightarrow$ K be a contraction mapping. Let {$\alpha_n$} and {$\beta_n$} be sequences in (0, 1) such that $\lim_{x{\rightarrow}0}{\alpha}_n=0$, (0.1) $\sum_{n=0}^{\infty}\;{\alpha}_n=+{\infty}$, (0.2) 0 < a ${\leq}\;{\beta}_n\;{\leq}$ b < 1 for all $n\;{\geq}\;0$. (0.3) Then it is proved that the modified Krasnoselski-Mann iterative sequence {$x_n$} given by {$x_0\;{\in}\;K$, $y_n\;=\;{\alpha}_{n}f(x_n)+(1-\alpha_n)x_n$, $n\;{\geq}\;0$, $x_{n+1}=(1-{\beta}_n)y_n+{\beta}_nTy_n$, $n\;{\geq}\;0$, (0.4) converges strongly to a point p $\in$ Fix(T} which satisfies the variational inequality

    $\leq$ 0, z $\in$ Fix(T). (0.5) This result improves and extends the corresponding results of Yao et al[Y.Yao, H. Zhou, Y. C. Liou, Strong convergence of a modified Krasnoselski-Mann iterative algorithm for non-expansive mappings, J Appl Math Com-put (2009)29:383-389.