• 제목/요약/키워드: EFG method

검색결과 47건 처리시간 0.023초

무요소법을 이용한 다수균열 함유부재의 동적균열전파해석에 관한 연구 (Analysis of Dynamic Multiple-Crack Propagation Problem by Element free-Galerkin Method)

  • 이상호;김효진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.315-322
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    • 2000
  • In this study, an algorithm analyzing dynamic mutiple-crack propagation problem by Meshfree Method is proposed. A short description of Meshfree Method especially, Element-free Galerkin (EFG) method is presented and the elastodynamic fracture theory is summarized. A numerical implementation algorithm for dynamic analysis by Meshfree Method is discussed and an algorithm for mutlple-crack dynamic propagation is also presented. A couple of numerical examples of dynamic crack propagation problem illustrate the performance of the proposed technique. The accuracy of the algorithm is studied in the first example by being compared with experimental results, and the applicability and efficiency of the developed algorithm is studied in the second example.

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An adaptive analysis in the element-free Galerkin method using bubble meshing technique

  • 이계희;최창근;정홍진
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 봄 학술발표회논문집
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    • pp.371-378
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    • 2000
  • In this study an adaptive node generation procedure in the Element-free Galerkin (EFG) method using bubble-meshing technique is proposed. Based on the error function that obtained by projected error estimation method, the initial node arrangement is defined along the background cell that is used in the numerical integration. To obtain the smooth nodal configuration, the nodal configuration are regenerated by bubble-meshing technique. This bubble meshing technique was originally developed to generate a set of well-shaped triangles and tetrahedra. Its basic idea is packing circles or spheres, called bubble, into the specified area or space naturally using some dynamic equations with attracting and repelling force. To demonstrate the performance of proposed scheme, the convergence behaviors are investigated for several problems.

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무한탄성영역 해석을 위한 EFG와 BEM의 새로운 결함기법 개발 (A new coupling method of Element-Free Galerkin Method and Boundary Element Method for infinite domain problems in elasticity)

  • 이상호;김명원
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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    • pp.575-582
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    • 2002
  • A new coupling method of Element-Free Galerkin Method(EFGM) and Boundary Element Method(BEM) using the domain decomposition method is presented in this paper. This proposed methodology is that the problem domain is decomposed into sub-domains being modeled by the EFGM and BEM respectively and the respective EFGM and BEM domains share a partially overlapped region over an entire domain. Then, the each sub-domain is separately computed and the variables on common region are iteratively updated until converging. It is an important note that in the developed coupling method, there is no need to combine the coefficient matrices of EFGM and BEM sub-domains, in contrast with the other conventional coupling methods. In the first part of this paper, a theory of EFGM and BEM is summarized, and then a brief introduction of domain decomposition method is described. Then, a new coupling method is presented. Also, patch test and Some numerical examples are studied to verify stability, accuracy and efficiency of the proposed method, in which numerical performance of the method is compared with that of conventional method such as EFGM-BEM variational coupling method, EFGM and BEM.

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NEW METHODS OF THE GROWING COMPLICATED SHAPED SAPPHIRE PRODUCTS: VARIABLE SHAPING TECHNIQUE AND LOCAL DYNAMIC SHAPING TECHNIQUE

  • Borodin, V.A.;Sidorov, V.V.;Steriopolo, T.A.
    • 한국결정성장학회:학술대회논문집
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    • 한국결정성장학회 1999년도 PROCEEDINGS OF 99 INTERNATIONAL CONFERENCE OF THE KACG AND 6TH KOREA·JAPAN EMG SYMPOSIUM (ELECTRONIC MATERIALS GROWTH SYMPOSIUM), HANYANG UNIVERSITY, SEOUL, 06월 09일 JUNE 1999
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    • pp.209-225
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    • 1999
  • Detailed description of the crystal growth methods permitting one to obtain complicated shape crystals from the melt is given. The variable shaping technique provides the growth of crystals with a discrete altering cross-section configuration during crystallization. The dynamic local shaping technique enables one to grow items with a continuous alteration of the side surface profile by a preset program.

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Growth of $GdVO_4$ composite single-crystal rods by the double-die edge-defined film-fed growth technique

  • Furukawa, Y.;Matsukura, M.;Nakamura, O.;Miyamoto, A.
    • 한국결정성장학회지
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    • 제18권1호
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    • pp.1-4
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    • 2008
  • The growth of composite-structured Nd:$GdVO_4$ single crystal rods by the double die EFG method is reported. Two crucibles are combined with an outer and inner die for ascending of different melt. The composite-structured Nd:$GdVO_4$ single crystal rods with a length of 50 mm and an outer diameter of 5 mm including of inner Nd-doped core region with diameter 3 mm were grown successfully. Nd distribution in the, radial direction has graded profile from result of EPMA. Absorption coefficient in the core region at 808 nm was $42cm^{-1}$. Finally, we demonstrated the laser oscillation using our composite crystal and 2-W output was obtained.

Meshless Local Petrov-Galerkin (MLPG) method for dynamic analysis of non-symmetric nanocomposite cylindrical shell

  • Ferezghi, Yaser Sadeghi;Sohrabi, Mohamadreza;Nezhad, Seyed Mojtaba Mosavi
    • Structural Engineering and Mechanics
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    • 제74권5호
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    • pp.679-698
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    • 2020
  • In this paper, the meshless local Petrov-Galerkin (MLPG) method is developed for dynamic analysis of non-symmetric nanocomposite cylindrical shell equations of elastic wave motion with nonlinear grading patterns under shock loading. The mechanical properties of the nanocomposite cylinder are obtained based on a micro-mechanical model. In this study, four kinds of grading patterns are assumed for carbon nanotube mechanical properties. The displacements can be approximated using shape function so, the multiquadrics (MQ) Radial Basis Functions (RBF) are used as the shape function. In order to discretize the derived equations in time domains, the Newmark time approximation scheme with suitable time step is used. To demonstrate the accuracy of the present method for dynamic analysis, at the first a problem verifies with analytical solution and then the present method compares with the finite element method (FEM), finally, the present method verifies by using the element free Galerkin (EFG) method. The comparison shows the high capacity and accuracy of the present method in the dynamic analysis of cylindrical shells. The capability of the present method to dynamic analysis of non-symmetric nanocomposite cylindrical shell is demonstrated by dynamic analysis of the cylinder with different kinds of grading patterns and angle of nanocomposite reinforcements. The present method shows high accuracy, efficiency and capability to dynamic analysis of non-symmetric nanocomposite cylindrical shell, which it furnishes a ground for a more flexible design.

Delaunay 삼각화를 이용한 적응적 Element-free Galerkin 해석 (Adaptive Element-free Galerkin Procedures by Delaunay Triangulation)

  • 이계희;정흥진;최창근
    • 한국전산구조공학회논문집
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    • 제14권4호
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    • pp.525-535
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    • 2001
  • 본 연구에서는 무요소법의 일종인 element-free Galerkin 방법(EFGM)을 이용한 새로운 적응적 해석법을 제안하였다. 이 방법의 핵심은 Delaunay 삼각화에 기초를 둔 적분 격자를 기초로 수치적분과 적응적인 절점의 추가 및 소거를 수행하는 것이다. 이러한 적응적 해석법은 적분격자의 분할이나 이를 위한 추가적인 정보에 대한 관리가 필요 없이 간편하게 적응적 해석을 수행할 수 있다. 또한 균열의 진전과 같은 다단계 적응적 해석에 있어서도 매 해석단계별로 평가된 오차에 기초를 둔 최적 해석모델이 Delaunay 삼각화에 의해 구성되도록 하였다. 이러한 특성은 요소의 구성으로부터 자유로운 무요소법의 장점을 최대한 활용하여 해석모델의 구축을 보다 원활하게 수행할 수 있다. 적응적 해석에 기초가 되는 해석 후 오차평가는 계산된 응력과 투영응력과의 차이를 오차로 추정하는 투영응력법을 이용하였다. 균열진전을 포함하는 2차원예제의 해석을 수행한 결과 제안된 해석법의 타당성과 적용성을 입증할 수 있었다.

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