• Title/Summary/Keyword: X-FEM

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X-FEM Based Shape Design Sensitivity Analysis of Crack Propagation Problems (균열진전 문제의 X-FEM 기반 형상 설계민감도 해석)

  • Moon, Min-Yeong;Ahn, Seung-Ho;Cho, Seon-Ho
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.697-700
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    • 2011
  • 본 논문에서는 X-FEM을 사용하여 혼합모드 하중 상태에서의 이차원 선형탄성체의 균열문제에 대한 형상 설계민감도 해석을 수행하였다. X-FEM이란 균열과 같은 특수한 해를 근사하는 방법으로써, 확장함수를 도입하여 FEM의 한계를 극복하는 방법론이다. X-FEM 하에서 해를 근사하는 데 쓰이는 확장함수들은 불연속성과 특이성을 포함하고 있어 물리적 영역에 의존한다. 이는 설계민감도 해석을 수행하는 과정에서 그러한 의존성을 고려해주는 것이 필요하다. 따라서 본 논문에서는 X-FEM 기반의 형상 설계민감도 해석해를 제안하고자 한다. 식의 유도는 전 미분 공식에 기초하고 있으며, 형상함수의 설계변분에 대한 의존성에 관한 항을 추가시켰다. 또한, 균열 주위의 국부적인 공간에서의 확장된 자유도에 설계속도를 가한다. 이에 대한 몇 가지 수치 예제를 통하여 개발된 방법론의 타당성을 확인하였다.

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An adaptive X-FEM and its application to shape optimization (적응 확장 유한요소기법과 형상최적설계로의 응용)

  • Yu, Yong-Gyun;Huh, Jae-Sung;Tezuka, Akira;Kwak, Byung-Man
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.538-543
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    • 2007
  • A procedure is proposed to generate optimal grid with minimal user intervention while keeping a prescribed level of accuracy, using an adaptive X-FEM and applied to shape optimization. In spite of various advantages of X-FEM, however, there are several obstacles for practical applications. Because of using a uniform background mesh and additional degree of freedoms for enrichment, an X-FEM is usually computationally more expensive than traditional finite element method. Furthermore, there are often accuracy problems. For an automatic procedure of optimal mesh generation, an h-adaptive scheme and a posteriori error estimation obtained by a post-processing process are utilized. The procedure is shown by 2-D shape optimization examples.

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Multi-material topology optimization for crack problems based on eXtended isogeometric analysis

  • Banh, Thanh T.;Lee, Jaehong;Kang, Joowon;Lee, Dongkyu
    • Steel and Composite Structures
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    • v.37 no.6
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    • pp.663-678
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    • 2020
  • This paper proposes a novel topology optimization method generating multiple materials for external linear plane crack structures based on the combination of IsoGeometric Analysis (IGA) and eXtended Finite Element Method (X-FEM). A so-called eXtended IsoGeometric Analysis (X-IGA) is derived for a mechanical description of a strong discontinuity state's continuous boundaries through the inherited special properties of X-FEM. In X-IGA, control points and patches play the same role with nodes and sub-domains in the finite element method. While being similar to X-FEM, enrichment functions are added to finite element approximation without any mesh generation. The geometry of structures based on basic functions of Non-Uniform Rational B-Splines (NURBS) provides accurate and reliable results. Moreover, the basis function to define the geometry becomes a systematic p-refinement to control the field approximation order without altering the geometry or its parameterization. The accuracy of analytical solutions of X-IGA for the crack problem, which is superior to a conventional X-FEM, guarantees the reliability of the optimal multi-material retrofitting against external cracks through using topology optimization. Topology optimization is applied to the minimal compliance design of two-dimensional plane linear cracked structures retrofitted by multiple distinct materials to prevent the propagation of the present crack pattern. The alternating active-phase algorithm with optimality criteria-based algorithms is employed to update design variables of element densities. Numerical results under different lengths, positions, and angles of given cracks verify the proposed method's efficiency and feasibility in using X-IGA compared to a conventional X-FEM.

Optimization technique using the eXtended FEM (X-FEM 을 이용한 최적설계 기법)

  • Huh, Jae-Sung;Akira, Tezuka;Kwak, Byung-Man
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1870-1875
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    • 2003
  • Optimization has been used in many engineering problems and must be one of the essential components during design process now. It is the process of maximizing the performance called an objective function of a system while satisfying some constraints, so finite element method is generally required in order to obtain these values during optimization. However, there are some difficulties to obtain them by means of FEM, where the changes of design variables cause the distortion and the regeneration of mesh that may result in inaccuracy and inefficiency. In order to overcome this problem, this paper proposed an alternative that the eXtended FEM introduced and developed by Ted Belytschko was applied to the optimization process because the key points of the X-FEM lie in that the discontinuity can be represented independently on the mesh by a function called in an enrichment function.

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Analysis of the direction of the canine and carnassial of small dog by 3D FEM (3차원 유한요소분석에 의한 소형견의 견치와 열육치의 교합력 방향 분석)

  • Park, yujin;Choi, sungmin
    • Journal of Technologic Dentistry
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    • v.42 no.2
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    • pp.139-145
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    • 2020
  • Purpose: This study is for the prosthesis of dog. Observed the occlusal relation between the small dog canine and carnassial teeth. The direction of the bite force was analyzed by 3D FEM(finite element method). Methods: The mandibular canine and carnassial of dog were tested. The skull of dog was contact point confirmed by dental CAD. The skull of dog was scaned using CT and a 3D model was created. The 3D model was analyzed ABAQUS. Closing movement has been 100N, 200N, 300N, 500N, 1000N, 1500N. The Direction of bite force was confirmed. Results: As occlusal force increased, the direction of bite force appeared to (-y), (-x,-y,-z), (-x,-y), (-x,-y,+z), (-x,-y,+ z), (+x,-y) in mandibular left canine. And the direction was seen at (+x, -y), (+x,-y,-z), (+x,-y), (-x,-y,+z), (-x,-y,+z), (+x,-y). When the occlusal load is 100 N, 200 N, 300 N, 500 N, the direction of the mandibular carnassial appears as (-x, -y, -z), and when the occlusal load is 1000 N, 1500 N, the direction appears as (-x,-y). Conclusion: The mandibular canine showed irregularities in the coordinates of the direction of the bite force, and the mandibular carnassial showed regularity in the coordinates of the direction of the bite force.

Modal Analysis and FEA of a Compressor Motor for 120Hz Resonance Reducing (컴프레서용 모터 120Hz 공진 저감을 위한 연구)

  • Shin, Hyun-Jang
    • Transactions of the KSME C: Technology and Education
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    • v.5 no.2
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    • pp.81-87
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    • 2017
  • 315Fr compressor motor exceeds vibration specifications. To find the reason, first a modal impact test with free-free condition is done. Second a modal test with fixed condition is done. Thereafter the test results are compared with FEM simulation results. Using free-free condition modal impact test, FEM simulation conditions (boundary, mesh..) are modified. The motor has rolling motion around 120Hz. FEM simulation also shows same result. FEM simulation will be used to develop other series compressor motors. Using this, manufacturing test model and doing test will be useless.

Behavior of Polymerization Shrinkage Stress of Methacrylate-based Composite and Silorane-based Composite during Dental Restoration (Methacrylate 기질 복합레진과 Silorane 기질 복합레진의 치아 수복 시 중합수축응력거동)

  • Park, Jung-Hoon;Choi, Nak-Sam
    • Composites Research
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    • v.28 no.1
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    • pp.6-14
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    • 2015
  • Polymerization shrinkage stress analysis of dimethacrylate-based composite (Clearfil AP-X, Kuraray) and silorane-based composite (Filtek P90, 3M ESPE) used for dental composite restorations was performed using strain-gage measurement and FEM analysis. A theoretical equation based on Young's modulus and polymerization shrinkage of the composite resin was proposed to predict the polymerization shrinkage stress. Experimental results showed that the maximum shrinkage stress of Clearfil AP-X was about 2.8 times higher than Filtek P90. FEM analysis agreed with such experimental stress behaviours and showed that the maximum Von-Mises stress appeared near the margin of the filled resin adhered with PMMA ring. The stress concentration at the interface on the specimen surface was higher than that in the interior. The maximum error of shrinkage stress by the theoretical equation was reasonable within 5% in comparison to FEM results under plane stress.

The Development of Optimal Design and Control System for Ultra-Precision Positioning on Single Plane X-Y Stage (평면 X-Y 스테이지의 초정밀 위치결정을 위한 최적 설계 및 제어시스템 개발)

  • 한재호;김재열;심재기;김창현;조영태;김항우
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.348-352
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    • 2002
  • a basis such as IT(Information Technology), NT(Nano Technology) and BT(Bio Technology). Recently, NT is applied to various fields that are composed of science, industry, media and semiconductor-micro technology. It has need of IT that is ultra-precision positioning technology with strokes of many hundreds mm and maintenance of nm precision in fields of ultra micro process, ultra precision measurement, photo communication part and photo magnetic memory. This thesis represents optimal design on ultra-precision positioning with single plane X-Y stage and development of artificial control system for adequacy of industrial demand. Also, dynamic simulation on global stage is performed by using ADAMS (Automated Dynamic Analysis of Mechanical System) for the purpose of grasping dynamic characteristic on user designed X-Y global stage. The error between displacements from micro stage and from FEM(Finite Element Method) is 3.53% by verifications of stability on micro stage and control performance. As maximum Von-mises stress on hinge of micro stage is 5.981kg/mm$^2$ that is 1.5% of yield stress, stability on hinge is secured. Preparing previous results, optimal design of micro stage can be possible, and reliance of results with FEM can be secured.

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Study of the fracture behavior of different structures by the extended finite element method (X-FEM)

  • Zagane Mohammed El Sallah;Moulgada Abdelmadjid;Sahli Abderahmane;Baltach Abdelghani;Benouis Ali
    • Advances in materials Research
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    • v.12 no.4
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    • pp.273-286
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    • 2023
  • The fracture mechanics make it possible to characterize the behavior with cracking of structures using parameters quantifiable in the sense of the engineer, in particular the stress field, the size of the crack, and the resistance to cracking of the material. Any structure contains defects, whether they were introduced during the production of the part (machining or molding defects for example). The aim of this work is to determine numerically by the finite element method the stress concentration factor Kt of a plate subjected to a tensile loading containing a lateral form defect with different sizes: a semicircle of different radii, a notch with different opening angles and a crack of different lengths. The crack propagation is then determined using the extended finite element technique (X-FEM). The modeling was carried out using the ABAQUS calculation code.

Finite Element Analysis on the Displacement Behavior Safety of Hollow Shafts with Equivalent Volume (동등체적을 갖는 중공축의 변위거동 안전성에 관한 유한요소해석)

  • Kim, Chung Kyun
    • Journal of the Korean Institute of Gas
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    • v.20 no.3
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    • pp.73-77
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    • 2016
  • This paper presents the displacement behavior safety of hollow shafts with an equivalent volume for various cross sectional area using a finite element method. The FEM results indicate that the hollow shafts with X-type or Y-type columns between outer tube, middle tube and inner tube may reduce a maximum displacement at the middle length of hollow shafts. Especially, the load-bearing column of X-type or Y-type hollow shaft is directly connected between outer tube and inner tube without a shift for reducing the vertical displacement. And increased thickness of a load-bearing column is recommended for reducing the vertical displacement and increasing the displacement behavior safety for an equivalent volume of a hollow shaft.