• Title/Summary/Keyword: Essential element

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Treatment of Essential Boundary Conditions using Modified Weight Functions in Meshless Method (무요소법에서 가중함수를 수정한 필수경계조건 처리법)

  • 강명석;윤성기
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.11
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    • pp.2705-2712
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    • 2000
  • In meshless methods some techniques to impose essential boundary conditions have been developed since the approximations do not satisfy Kronecker delta properties at nodal points. In this study, new scheme for imposing essential boundary conditions is developed. Weight functions are modified by multiplying with auxiliary weight functions and the resulting shape functions satisfy Kronecker delta property on the bound ary nodes. In addition, the resulting shape functions possess and interpolation features on the boundary segments where essential boundary conditions are prescribed. Therefore the essential boundary conditions can be exactly satisfied with the new method. More importantly, the impositions of essential boundary conditions using the present method is relatively easy as in finite element method. Numerical examples show that the method also retains high convergence rate comparable to Lagrange multiplier method.

A Study on the Enhancement of the Solution Accuracy of Meshless Particle Method (무요소절점법의 수치해 정도 향상을 위한 연구)

  • 이상호;김상효;강용규;박철원
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1997.04a
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    • pp.3-10
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    • 1997
  • Meshless particle method is a numerical technique which does not use the concept of element. This method can easily handle special engineering problems which cause difficulty in the use of finite element method, however it has a drawback that essential boundary condition is not satisfied. In this paper, several studies for satisfying essential boundary conditions and enhancing the accuracy of solutions are discussed. Particular emphasis is placed on a new numerical technique in which finite elements are used on the boundaries to satisfy the essential boundary conditions and meshless particle method is used in the interior domain. For coupling of the two methods interface elements are introduced into the zone between the subdomains using meshless particle method and finite element method. The shape functions and the approximated displacement functions of the interface element are derived with the ramp function based on the shape function of finite elements. The whole numerical procedures are formulated by Galerkin method. Several numerical examples for enhancing the accuracy of solution in the meshless particle method and a new coupling method are presented.

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Nutritional Source and Metabolism of an Essential Element Selenium

  • Suzuki, Kazuo T.
    • Proceedings of the PSK Conference
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    • 2003.04a
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    • pp.93-95
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    • 2003
  • Selenium is an ultra trace essential element for the normal functioning body because of forming the active center of redox enzymes such as four kinds of glutathione peroxidases (GPx), thioredoxin reductase (TR) and 5'-iodothyronine deiodinase. However, the adequate range between deficient and excessive levels is very narrow. (omitted)

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An Automated Adaptive Finite Element Mesh Generation for Dynamics

  • Yoon, Chongyul
    • Journal of the Earthquake Engineering Society of Korea
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    • v.23 no.1
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    • pp.83-88
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    • 2019
  • Structural analysis remains as an essential part of any integrated civil engineering system in today's rapidly changing computing environment. Even with enormous advancements in capabilities of computers and mobile tools, enhancing computational efficiency of algorithms is necessary to meet the changing demands for quick real time response systems. The finite element method is still the most widely used method of computational structural analysis; a robust, reliable and automated finite element structural analysis module is essential in a modern integrated structural engineering system. To be a part of an automated finite element structural analysis, an efficient adaptive mesh generation scheme based on R-H refinement for the mesh and error estimates from representative strain values at Gauss points is described. A coefficient that depends on the shape of element is used to correct overly distorted elements. Two simple case studies show the validity and computational efficiency. The scheme is appropriate for nonlinear and dynamic problems in earthquake engineering which generally require a huge number of iterative computations.

Sa-am Five-element Acupuncture and Hwangyeon-haedoktang Pharmacopuncture Treatment for an Essential Tremor: Three Case Reports

  • Jeong, Jong-Jin;Sun, Seung-Ho
    • Journal of Pharmacopuncture
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    • v.16 no.4
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    • pp.49-53
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    • 2013
  • The purpose of this study was to report the effect of a combination of Sa-am five-element acupuncture and eight-principle pharmacopuncture (EPP) for the treatment of an essential tremor (ET). This study reviewed the medical records treated at OO Korean medical hospital for ET by using diverse types of acupuncture without herbal medicine, other types of physical therapy, and western medication related ET or Parkinson's disease and was performed after the approval of the institutional review board (IRB). The three cases that were finally selected were then extracted and reviewed. The three cases that were finally selected involved three women in their 70s to 80s. The evaluation of the progress was made by using the numeric rating scale. A combined treatment, the method of liver excess (肝乘格), from among Sa-am five-element acupuncture, and Hwangyeonhaedoktang EPP at CV23 and CV17, was applied to all cases. In all three cases, the ET was improved, and recurred ETs improved with the same treatment. The results suggest that the combined treatment of Sa-am five-element acupuncture and Hwangyeon-haedoktang EPP may be effective for treating an ET, even though this conclusion is based on only three cases.

Metal forming analysis using meshfree-enriched finite element method and mortar contact algorithm

  • Hu, Wei;Wu, C.T.
    • Interaction and multiscale mechanics
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    • v.6 no.2
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    • pp.237-255
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    • 2013
  • In this paper, a meshfree-enriched finite element method (ME-FEM) is introduced for the large deformation analysis of nonlinear path-dependent problems involving contact. In linear ME-FEM, the element formulation is established by introducing a meshfree convex approximation into the linear triangular element in 2D and linear tetrahedron element in 3D along with an enriched meshfree node. In nonlinear formulation, the area-weighted smoothing scheme for deformation gradient is then developed in conjunction with the meshfree-enriched element interpolation functions to yield a discrete divergence-free property at the integration points, which is essential to enhance the stress calculation in the stage of plastic deformation. A modified variational formulation using the smoothed deformation gradient is developed for path-dependent material analysis. In the industrial metal forming problems, the mortar contact algorithm is implemented in the explicit formulation. Since the meshfree-enriched element shape functions are constructed using the meshfree convex approximation, they pose the desired Kronecker-delta property at the element edge thus requires no special treatments in the enforcement of essential boundary condition as well as the contact conditions. As a result, this approach can be easily incorporated into a conventional displacement-based finite element code. Two elasto-plastic problems are studied and the numerical results indicated that ME-FEM is capable of delivering a volumetric locking-free and pressure oscillation-free solutions for the large deformation problems in metal forming analysis.

Curved-quartic-function elements with end-springs in series for direct analysis of steel frames

  • Liu, Si-Wei;Chan, Jake Lok Yan;Bai, Rui;Chan, Siu-Lai
    • Steel and Composite Structures
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    • v.29 no.5
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    • pp.623-633
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    • 2018
  • A robust element is essential for successful design of steel frames with Direct analysis (DA) method. To this end, an innovative and efficient curved-quartic-function (CQF) beam-column element using the fourth-order polynomial shape function with end-springs in series is proposed for practical applications of DA. The member initial imperfection is explicitly integrated into the element formulation, and, therefore, the P-${\delta}$ effect can be directly captured in the analysis. The series of zero-length springs are placed at the element ends to model the effects of semi-rigid joints and material yielding. One-element-per-member model is adopted for design bringing considerable savings in computer expense. The incremental secant stiffness method allowing for large deflections is used to describe the kinematic motion. Finally, several problems are studied in this paper for examining and validating the accuracy of the present formulations. The proposed element is believed to make DA simpler to use than existing elements, which is essential for its successful and widespread adoption by engineers.

The Role and Treatment Mind of Sasang Constitutional Medicine in Human Genome Age (Human Genome 시대에 부응하는 사상체질의학(四象體質醫學)의 역할과 치료정신)

  • Song, Il-Byung
    • Journal of Sasang Constitutional Medicine
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    • v.15 no.2
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    • pp.1-8
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    • 2003
  • 1. Objects of Research This research is purposed to find role and treatment mind of Sasang constitutional medicine in human genome age, through summarizing recognition of human and etiology. treatment on diseases proposed in Sasang constitutional medicine 2. Methods of Research It was researched as bibliologically with Dong-mu's chief medical writings such as ${\ulcorner}Dongyi$ Soose Bowon(東醫壽世保元)${\lrcorner}$, ${\ulcorner}$Dongyi Soose Bowon Sasang Chongyun(東醫壽世保元四象草本卷${\lrcorner}$. 3. Results and Conclusions 1. The outlook on human of Sasang Constitutional Medicine was completed in the base on Confusianism and it recognized that human is consisted with congenital element based on 'Human nature-shape' and acquired element based on Knowledge-Acting. Dong-mu emphasised acquired element than inborn element. 2. Sasang Constitutional Medicine is thought that we ran overcome inborn limitation of each constitution through moral culture of aposteriori Knowledge-Acting. and that self-correction is methods which is applied to treatment of disease recovering Essential Qi of each constitution with moral culture of personality 3. Sasang Constitutional Medicine is recognizing Essential Qi by main standard that foretell prognosis of disease and emphasize recovery of Essential Qi through self-correction than way of 'Assisting-Good Qi' and 'Removig-Bad Qi' in treatment of disease. 4. Self-correction can be divided into non-herbal self-correction and herbal self-correction. Non-herbal self-correction is to control greed by aposteriori Knowledge-Acting and herbal self-correction is to recover Essential Qi by herb. 5. It is thought that the present constitutional disease is consisted by accumulating life habit nature of a disease of ordinary times, and Sasang Constitutional Medicine that present constitutional disease is treated through administration of life habit nature of a disease of ordinary times in Sasang Constitutional Medicine. 6. Treatment mind to correct oneself into Golden Mean through controlling Knowledge-Acting in Sasang Constitutional Medicine may get into important treatment guide of gene medicine age.

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Shape Function Modification for the Imposition of EFGM Essential Boundary Conditions (EFGM에서 필수경계조건 처리를 위한 형상함수 수정법)

  • Seok, Byeong-Ho;Song, Tae-Han;Im, Jang-Geun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.3 s.174
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    • pp.803-809
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    • 2000
  • For the effective analysis of an engineering problem, meshless methods which require only positioning finite points without the element meshing recently have been proposed and being studied extensively. Meshless methods have difficulty in imposing essential boundary conditions directly, because non-interpolate shape functions originated from an approximation process are used. So some techniques, which are Lagrange multiplier method, modified variational principles and coupling with finite elements and so on, were introduced in order to impose essential boundary conditions. In spite of these methods, imposition of essential boundary conditions have still many problems like as non-positive definiteness, inaccuracy and negation of meshless characteristics. In this paper, we propose a new method which modifies shape function. Through numerical tests, convergence, accuracy and validity of this method are compared with the standard EFGM which uses Lagrange multiplier method or modified variational principles. According to this study, the proposed method shows the comparable accuracy and efficiency.

Elemental analysis of the liver, kidney, and intestine tissues from a Hodgson's bat (Myotis formosus tsuensis)

  • Yu, Hee Jeong;Kang, Jung-Hoon;Lee, Seungwoo;Choi, Yu Jung;Oh, Dayoung;Lim, Jong-Deock;Ryu, Doug-Young
    • Korean Journal of Veterinary Research
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    • v.56 no.1
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    • pp.51-52
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    • 2016
  • Hodgson's bats are critically endangered in South Korea. This study analyzed the concentrations of elements in liver, kidney, and intestine tissues from a Hodgson's bat found dead in the wild. The concentrations of essential elements followed the order Fe > Zn > Cu > Mn > Se in the three tissues. Hg was detected at the highest concentrations among the non-essential elements analyzed in the liver and kidney tissues, while As was the most highly concentrated non-essential element in the intestine. To the best of our knowledge, this is the first study of tissue element concentrations in Hodgson's bats.