• 제목/요약/키워드: Level-set method (LSM)

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Hybrid of topological derivative-based level set method and isogeometric analysis for structural topology optimization

  • Roodsarabi, Mehdi;Khatibinia, Mohsen;Sarafrazi, Seyyed R.
    • Steel and Composite Structures
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    • 제21권6호
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    • pp.1389-1410
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    • 2016
  • This paper proposes a hybrid of topological derivative-based level set method (LSM) and isogeometric analysis (IGA) for structural topology optimization. In topology optimization a significant drawback of the conventional LSM is that it cannot create new holes in the design domain. In this study, the topological derivative approach is used to create new holes in appropriate places of the design domain, and alleviate the strong dependency of the optimal topology on the initial design. Furthermore, the values of the gradient vector in Hamilton-Jacobi equation in the conventional LSM are replaced with a Delta function. In the topology optimization procedure IGA based on Non-Uniform Rational B-Spline (NURBS) functions is utilized to overcome the drawbacks in the conventional finite element method (FEM) based topology optimization approaches. Several numerical examples are provided to confirm the computational efficiency and robustness of the proposed method in comparison with derivative-based LSM and FEM.

LSM을 이용한 이동체를 포함하는 전기기기의 유한요소 해석 (FE Analysis of electromechanical device including moving part using LSM)

  • 백명기;성탄일;최윤석;김영선;박일한
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 제39회 하계학술대회
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    • pp.796-797
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    • 2008
  • This paper presents a coupling scheme of LSM(Level Set Method) and Poisson's equation to analyze the dynamic performance of electromagnetic system with moving parts. Remeshing process is necessary to analyze the dynamics of moving object using finite element method. LSM is useful for analysis of moving objects or propagating models in time varying system. In this paper, we proposed the material setting technique of mover using level set function. To validate the algorithm, we adopted the simple hinged electromagnet model with moving arm. The results of simulation are reasonable as expect.

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A technique for capturing structural crack geometry in numerical simulation based on the invariant level set method

  • Tao Wang;Shangtao Hu;Menggang Yang;Shujun Fang
    • Structural Engineering and Mechanics
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    • 제87권3호
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    • pp.243-254
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    • 2023
  • Engineering structures usually suffer from cracks. The crack geometry has an influence on the structural mechanical properties and subsequent crack propagations. However, as an extensively utilized method in fracture analysis, the extended finite element method provided by Abaqus fails to output the specific location and dimensions of fractures. In this study, a technique to capture the crack geometry is proposed. The technique is based on the invariant level set method (I-LSM), which can avoid updating the level set function during crack development. The solution is achieved by an open-source plug-in programmed by Python. Three examples were performed to verify the effectiveness and robustness of the program. The result shows that the developed program can accurately output the crack geometry in both the 2D and 3D models. The open-source plug-in codes are included as supplementary material.

미세입자분산 액적의 고체면에서 모세퍼짐 현상에 관한 직접수치해석 기법개발 (DEVELOPMENT OF A NUMERICAL TECHNIQUE FOR CAPILLARY SPREADING OF A DROPLET CONTAINING PARTICLES ON THE SOLID SUBSTRATE)

  • 황욱렬;정현준;김시조;김종엽
    • 한국전산유체공학회지
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    • 제12권4호
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    • pp.14-19
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    • 2007
  • We present a direct numerical simulation technique and some preliminary results of the capillary spreading of a droplet containing particles on the solid substrate. We used the level-set method with the continuous surface stress for description of droplet spreading with interfacial tension and employed the discontinuous Galerkin method for the stabilization of the interface advection equation. The distributed Lagrangian-multipliers method has been combined for the implicit treatment of rigid particles. We investigated the droplet spreading by the capillary force and discussed effects of the presence of particles on the spreading behavior. It has been observed that a particulate drop spreads less than the pure liquid drop. The amount of spread of a particulate drop has been found smaller than that of the liquid with effectively the same viscosity as the particulate drop.

건선 영역 분할기법 비교분석 (Comparative Analysis of Segmentation Methods in Psoriasis Area)

  • 유현종;이지원;문초이;김은빈;백유상;장상훈;이언석
    • 한국정보처리학회:학술대회논문집
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    • 한국정보처리학회 2019년도 추계학술발표대회
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    • pp.657-659
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    • 2019
  • 본 논문에서는 피부 이미지에서 건선 병변만을 가장 효과적으로 분할 할 수 있는 분할기법 선별을 목표로 한다. Interactive graph cuts (IGC)와 Level set method (LSM)를 사용하여 건선 영역을 분할한 후 Jaccard Index (JI)와 Dice Similarity Coefficient (DSC)을 사용하여 건선 영역에 효과적인 분할 방법을 제안한다.