• Title/Summary/Keyword: Bubble functions

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Improvement of Enhanced Assumed Strain Four-node Finite Element Based on Reissner-Mindlin Plate Theory (개선된 추가변형률 4절점 평판휨 요소)

  • Chun, Kyoung Sik;Park, Dae Yong;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.16 no.3 s.70
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    • pp.295-303
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    • 2004
  • In this paper, an improved four-node Reissner-Mindlin plate-bending element with enhanced assumed strain field is presented for the analysis of isotropic and laminated composite plates. To avoid the shear locking and spurious zero energy modes, the transverse shear behavior is improved by the addition of a new enhanced shear strain based on the incompatible displacement mode approach and bubble function. The "standard" enhanced strain fields (Andelfinger and Ramm, 1993) are also employed to improve the in-plane behaviors of the plate elements. The four-node quadrilateral element derived using the first-order shear deformation theory is designated as "14EASP". Several applications are investigated to assess the features and the performances of the proposed element. The results are compared with other finite element solutions and analytical solutions. Numerical examples show that the element is stable, invariant, passes the patch test, and yields good results especially in highly distorted regimes.

Eight-node field-consistent hexahedron element in dynamic problems

  • Rajendran, S.;Prathap, G.
    • Structural Engineering and Mechanics
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    • v.8 no.1
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    • pp.19-26
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    • 1999
  • Superior performance of field consistent eight-node hexahedron element in static bending problems has already been demonstrated in literature. In this paper, its performance in free vibration is investigated. Free vibration frequencies of typical test problems have been computed using this element. The results establish its superior performance in free vibration, particularly in thin plate application and near incompressibility regimes, demonstrating that shear locking, Poisson's stiffening and volumetric locking have been eliminated.

Hysteroscopic evaluation of endometrial changes and fallopian tubal functions in women using progestin-only contraceptives

  • Atef Darwish;Ibrahim Mohammad;Samuel Gendy;Dina Darwish;Mohammad Ramdan
    • Journal of Medicine and Life Science
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    • v.21 no.2
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    • pp.21-30
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    • 2024
  • The purpose of this prospective study was to investigate whether office hysteroscopy (OH) can be used to assess the mechanisms of action of progestogen-only contraceptives (POCs), diagnose possible local causes of abnormal uterine bleeding (AUB), and support the treatment plan of symptomatic patients using POCs compared with those who do not use hormones. The study included 140 women who were divided into two groups. Group A consisted of 70 women who used POCs, whereas group B consisted of 70 women who did not use hormones. They were successively examined using transvaginal ultrasonography (TVS), OH, and endometrial sampling. The TVS results were consistent with those of OH and histopathology. The changes in endometrial thickness and vasculature, as well as fallopian tube (FT) functions, were significantly more pronounced in POC users than in non-POC users. There was a significant reduction in the peristalsis of the proximal part of the FT, as well as a reduction in the bubble flow test in group A compared with group B. In addition, the combination of peristalsis and the bubble flow test (Darwishscope test) was significantly lower in group A. It was concluded that using OH as a simple diagnostic tool in women with POCs would contribute to a better understanding of the mechanisms of endometrial and FT effects and explain some local endometrial causes of AUB. This ensures that the combination of TVS and OH would limit routine endometrial sampling in POCs users.

Finite Element Analysis for Dielectric Liquid Discharge under Lightning Impulse Considering Two-Phase Flow (절연유체 내 2상유동을 고려한 뇌임펄스 응답 유한요소해석)

  • Lee, Ho-Young;Lee, Jong-Chul;Chang, Yong-Moo;Lee, Se-Hee
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.11
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    • pp.2097-2102
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    • 2011
  • Discharge analysis technique for dielectric liquid was presented by using the Finite Element Analysis (FEA) under a lightning impulse incorporating two-phase flow phenomena which described gas and liquid phases in discharge space. Until now, the response of step voltage has been extensively explored, but that of lightning impulse voltage was rarely viewed in the literature. We, therefore, developed an analyzing technique for dielectric liquid in a tip-sphere electrode stressed by a high electric field. To capture the bubble phase, the Heaviside function was introduced mathematically and the material functions for the ionization, dissociation, recombination, and attachment were defined in liquid and bubble, respectively. By using this numerical setup, the molecular dissociation and ionization mechanisms were tested under low and high electric fields resulted from the lightning impulse voltage of 1.2/50 ${\mu}s$. To verify our numerical results, the velocity of electric field wave was measured and compared to the previous experimental results which can be viewed in many papers. Those results had good agreement with each other.

Dispersion in the Unsteady Separated Flow Past Complex Geometries (복합지형상에서 비정상 박리흐름에 의한 확산)

  • Ryu, Chan-Su
    • Journal of the Korean earth science society
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    • v.22 no.6
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    • pp.512-527
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    • 2001
  • Separated flows passed complex geometries are modeled by discrete vortex techniques. The flows are assumed to be rotational and inviscid, and a new techlnique is described to determine the stream functions for linear shear profiles. The geometries considered are the snow cornice and the backward-facing step, whose edges allow for the separation of the flow and reattachment downstream of the recirculation regions. A point vortex has been added to the flows in order to constrain the separation points to be located at the edges, while the conformal mappings have been modified in order to smooth the sharp edges and to let the separation points free to oscillate around the points of maximum curvature. Unsteadiness is imposed to the flow by perturbing the vortex location, either by displacing the vortex from the equilibrium, or by imposing a random perturbation with zero mean to the vortex in equilibrium. The trajectories of passive scalars continuously released upwind of the separation point and trapped by the recirculating bubble are numerically integrated, and concentration time series are calculated at fixed locations downwind of the reattachment points. This model proves to be capable of reproducing the trapping and intermittent release of scalars, in agreement with the simulation of the flow passed a snow cornice performed by a discrete multi-vortex model, as well as with direct numerical simulations of the flow passed a backward-facing step. The results of simulation indicate that for flows undergoing separation and reattachment the unsteadiness of the recirculating bubble is the main mechanism responsible for the intense large-scale concentration fluctuations downstream.

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The Effect of Aerated Oil Considering Live Oil Surface Tension on High-Speed Journal Bearing

  • Chun, Sang-Myung
    • KSTLE International Journal
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    • v.2 no.2
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    • pp.103-113
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    • 2001
  • The influence of aerated oil on high-speed journal bearing is examined by classical thermohydrodynamic lubrication theory coupled with analytical models for viscosity and density of air-oil mixture in fluid-film bearing. Convection to the walls and mixing with supply oil and re-circulating oil are considered. The live oil surface tension is considered as functions of temperature, API gravity and air volume ratio. With changing eccentricity ratio, it is investigated the effects of air bubbles on the performance of a high-speed plain journal bearing. Just at the moderate eccentricity ratios, even if the involved aeration levels are not so severe and the entrained air bubble sizes are not so small, it is found that the bearing load and friction farce may be changed so visibly for the high speed bearing operation.

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The Linkage between Spline/NURBS Free Surface and Shell Finite Element Analysis (Spline/NURBS 자유곡면과 쉘 해석의 연동)

  • 노희열;조맹효
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.303-310
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    • 2001
  • We propose the framework which directly links shell finite element to the free form surface geometric modeling. For the development of a robust shell element, a first order shear deformable shell theory and partial mixed variational functional are provided. Bubble functions are included in the shape function of displacement to improve the performance of the developed element. The Spline/NURBS is used to generate the general free form of parameterized shell surfaces. The proposed shell finite element model linked with NURBS surface representation provides efficiency for design and analysis. Numerical examples are given in order to assess the accuracy of the performances of the proposed element.

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Study on Unsteady Flow Field around Rectangular Cylinders using Proper Orthogonal Decomposition (POD) (POD를 이용한 구조기본단면 주변 비정상흐름장 특성에 관한 연구)

  • Lee, Jae-Hyung;Matsumato, Masaru
    • Journal of Korean Society of Steel Construction
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    • v.20 no.6
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    • pp.751-759
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    • 2008
  • In this study, the effect of an unsteady flow field around a body of aerostatic/aerodynamic forces were investigated using rectangular cylinders (B/D = 2, 3, 4, 5). Proper orthogonal decomposition (POD) was introduced to the analysis of the fluctuating pressure field that was measured on the stationary/oscillatory B/D=4 rectangular cylinder, and the characteristics of the proper functions with flow patterns were identified. In addition, the physical decoupling and interactions in the different co-existing flow patterns were investigated through POD. The comparison with the identified proper function associated with a particular flow pattern revealed that the Karman vortex is almost not affected by the separation bubble, but that the Karman vortex considerably interferes in the development of the separation bubble around the trailing edge. It can be considered that the Karman vortex induces the increment of the curvature of the substantial separated flow.

Theory of Capillarity of Laplace and birth of Mathematical physics (라플라스 모세관이론과 수학물리학의 태동)

  • Lee, Ho-Joong
    • Journal for History of Mathematics
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    • v.21 no.3
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    • pp.1-30
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    • 2008
  • The success of Newton's Gravitational Theory has influenced the theory of capillarity, beginning in the early nineteenth century, by providing a major model of molecular attraction. He used the equation of the attraction of spheroids, which is expressed by second order partial differential equations, to utilize this analogy as the same kind of a particle's force, between gravitational, refractive force of light, and capillarity. The solution of the differential equation corresponds to the geometrical figure of the vessel and the contact angle which is made by the fluid. Unknown abstract functions $\varphi(f)$ represent interaction forces between molecules, giving their potential functions. By conducting several kinds of experimental conditions, it was found that the height of the ascending fluid in the tube is inversely proportional to the rayon of the tube or the distance of the plate. This model is an essential element in the theory of capillarity. Laplace has brought Newtonian mechanics to completion, which relates to the standard model of gravitational theory. Laplace-Young's equation of capillarity is applicable to minimal surfaces in mathematics, to surface tensional phenomena in physics, and to soap bubble experiments.

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Solanum Nigrum Polysaccharide (SNL) Extract Effects in Transplanted Tumor-bearing Mice - Erythrocyte Membrane Fluidity and Blocking of Functions

  • Yuan, Hong-Liang;Liu, Xiao-Lei;Liu, Ying-Jie
    • Asian Pacific Journal of Cancer Prevention
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    • v.15 no.23
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    • pp.10469-10473
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    • 2015
  • Background: Solanum nigrum L. has been used in traditional Chinese medicine because of its diuretic and antipyretic effects. The present research concerned effects of crude polysaccharides isolated from Solanum nigrum L. on erythrocyte membranes of tumor-bearing $S_{180}$ and $H_{22}$ in mice. Materials and Methods: Fluorescence-labeled red blood cell membranes were used with DPH fluorescence spectrophotometry to examine erythrocyte membrane fluidity, and colorimetry to determine degree of erythrocyte surface membrane blocking. Extent of reaction by tumor-bearing mice with the enzyme erythrocyte membrane bubble shadow detection of red cell membrane variation in the degree of closure before and after administration. Results: Solanum nigrum polysaccharide could significantly improve the $S_{180}$ and $H_{22}$ tumor-bearing mice erythrocyte membrane fluidity, compared with the control group, the difference was significant (p<0.01), SNL can significantly improve the red blood cell membrane and then $S_{180}$ tumor-bearing mice sealing ability, compared with the negative control group, the difference was significant(p<0.05, p<0.01). $H_{22}$ tumor-bearing mice can increase red cell membrane and then sealing ability, the difference was significant (p<0.05). Solanum nigrum polysaccharide degree of fluidity and blocking two transplanted tumors in mice restored the ability to raise the red cell membrane has a significant effect. Conclusions: Solanum nigrum L.-type mice transplanted tumor can affect the red blood cell membrane fluidity and re-closed, through the red cell membrane of red blood cells to enhance the immune function of the possibility of erythrocyte immunity against tumor formation garland provide experimental basis.