• 제목/요약/키워드: finite element homogenization

검색결과 85건 처리시간 0.02초

Laser Powder Bed Fusion 공정으로 제조된 Ti-6Al-4V 격자 구조물의 최적 설계 기법 연구 (A Study on the Optimal Design of Ti-6Al-4V Lattice Structure Manufactured by Laser Powder Bed Fusion Process)

  • 김지윤;우정민;손용호;김정호;이기안
    • 한국분말재료학회지
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    • 제30권2호
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    • pp.146-155
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    • 2023
  • The Ti-6Al-4V lattice structure is widely used in the aerospace industry owing to its high specific strength, specific stiffness, and energy absorption. The quality, performance, and surface roughness of the additively manufactured parts are significantly dependent on various process parameters. Therefore, it is important to study process parameter optimization for relative density and surface roughness control. Here, the part density and surface roughness are examined according to the hatching space, laser power, and scan rotation during laser-powder bed fusion (LPBF), and the optimal process parameters for LPBF are investigated. It has high density and low surface roughness in the specific process parameter ranges of hatching space (0.06-0.12 mm), laser power (225-325 W), and scan rotation (15°). In addition, to investigate the compressive behavior of the lattice structure, a finite element analysis is performed based on the homogenization method. Finite element analysis using the homogenization method indicates that the number of elements decreases from 437,710 to 27 and the analysis time decreases from 3,360 to 9 s. In addition, to verify the reliability of this method, stress-strain data from the compression test and analysis are compared.

등가상수를 이용한 벤트레이트 디스크의 축대칭 온도 해석 (Axisymmetric Temperature Analysis of Ventilated Disk using Equivalent Parameters)

  • 여태인
    • 한국자동차공학회논문집
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    • 제11권1호
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    • pp.137-142
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    • 2003
  • In automotive brake systems, the frictional heat generated can cause high temperature at the interface of rotor and pad which may deteriorate the material properties of the sliding parts and can result in brake fade. Conventionally, a pie-shaped 3-dimentional model is adopted to calculate temperature of ventilated disk using finite element method. To overcome the difficulties in preparing 3D finite element model and reduce the computational time required, the ventilated rotor is to be analyzed, in this study, as an axisymmetric finite element model in which, taking into considerations the effects of cooling passages, a homogenization technique is used to obtain the equivalent thermal properties and boundary conditions for the elements placed at the vent holes. Numerical tests show the proposed procedure can be successfully applied in practice, replacing 3-dimensional thermal analysis of ventilated disk.

적층 복합재료 주름판의 진동해석 (Vibration Analysis of Laminated Composite Corrugated Plates)

  • 박경조;김영완
    • Composites Research
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    • 제29권6호
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    • pp.347-352
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    • 2016
  • 적층 복합재료 주름판에 대한 진동특성을 이론적 방법을 이용하여 분석하였다. 고려된 주름 형상은 사다리꼴을 기본으로 삼각형, 사각형 및 요각 사다리꼴형이다. 3차원 주름 구조물을 해석적으로 기계적 거동을 표현하는 것이 매우 어렵기 때문에 본 해석에서는 주름판의 진동특성을 분석하기 위해 등가균질모델을 적용하였다. 이를 위해 단위 주름을 직교이방성재료로 등가시켰으며, 해석에서 등가 신장 강성 및 굽힘 강성이 모두 고려되었다. 이론해석 결과의 타당성을 검증하기 위해 셸요소를 적용한 3차원 유한요소해석을 수행하였으며, 두 방법을 이용해 얻은 고유진동수 및 진동형상을 비교하였다. 주름판의 기하형상에 따른 영향을 분석하기 위해 다양한 수치예가 제시되었다.

탄소나노튜브 다발을 포함하는 나노복합재료의 열-기계 특성 예측을 위한 멀티스케일 균질화 모델 개발 (Development of Multiscale Homogenization Model to Predict Thermo-Mechanical Properties of Nanocomposites including Carbon Nanotube Bundle)

  • 왕호림;신현성
    • Composites Research
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    • 제33권4호
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    • pp.198-204
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    • 2020
  • 본 연구에서는 탄소나노튜브 다발을 포함하는 나노복합재료의 열-기계적 특성을 정량적으로 예측하기 위하여 분자동역학 전산모사와 유한요소 기반 균질화 기법을 적용하였다. 응집된 탄소나노튜브의 수가 증가함에 따라 동일한 탄소나노튜브의 체적분율에도 불구하고, 면내 영률 및 면내 전단계수는 감소하였고, 면내 열팽창계수는 증가함을 확인할 수 있었다. 계면의 두께를 조사하기 위하여 밀도의 반경 방향 분포(Radial density distribution)을 조사하였으며, 계면의 두께는 탄소나노튜브의 수와는 거의 무관함을 확인할 수 있었다. 기지와 계면은 등방성 재료로 가정하였으며, 예측한 계면의 열-기계적 특성에 따르면, 응집된 탄소나노튜브의 수가 증가함에 따라 계면의 영률 및 전단계수는 감소하였으며, 열팽창계수는 반대로 증가하였다. 이를 토대로, 탄소나노튜브 다발을 포함하는 PLA 나노복합재료의 열-기계적 특성 예측을 위한 멀티스케일 균질화 모델을 개발하였다.

균질화기법을 이용한 다공평판의 단순화된 응력해석 (Simplified stress analysis of perforated plates using homogenization technique)

  • 이진희
    • 전산구조공학
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    • 제8권3호
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    • pp.51-57
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    • 1995
  • 다공평판에서의 응력해석에 균질화기법이 사용되었다. 표준적인 유한요소법에 미소좌표계확장을 도입한 균질화 기법은 다공평판을 microscale 모델과 macroscale 모델로 나누어 해석한다. 같은 패턴이 반복되는 최소의 기하학적단위를 microscale에서의 단위구조로 취하여 등가물성치를 산출한다. Macroscale 모델에서는 다공평판을 구멍이 없는 일반평판으로 가정하여 앞에서 산출한 등가물성치와 주어진 경계조건을 이용하여 변위를 산출하고, microscale 모델에서 다공평판의 응력을 계산한다. 균질화기법은 다공평판외에도 기본단위의 반복도가 심한 복합구조의 응력해석에서 유용한 전처리 및 후처리 개념을 제공하며, 계산에 필요한 자유도를 현저히 줄이면서 적절한 등가물성치와 응력분포의 계산을 가능케 하여준다.

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Multiscale modeling of elasto-viscoplastic polycrystals subjected to finite deformations

  • Matous, Karel;Maniatty, Antoinette M.
    • Interaction and multiscale mechanics
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    • 제2권4호
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    • pp.375-396
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    • 2009
  • In the present work, the elasto-viscoplastic behavior, interactions between grains, and the texture evolution in polycrystalline materials subjected to finite deformations are modeled using a multiscale analysis procedure within a finite element framework. Computational homogenization is used to relate the grain (meso) scale to the macroscale. Specifically, a polycrystal is modeled by a material representative volume element (RVE) consisting of an aggregate of grains, and a periodic distribution of such unit cells is considered to describe material behavior locally on the macroscale. The elastic behavior is defined by a hyperelastic potential, and the viscoplastic response is modeled by a simple power law complemented by a work hardening equation. The finite element framework is based on a Lagrangian formulation, where a kinematic split of the deformation gradient into volume preserving and volumetric parts together with a three-field form of the Hu-Washizu variational principle is adopted to create a stable finite element method. Examples involving simple deformations of an aluminum alloy are modeled to predict inhomogeneous fields on the grain scale, and the macroscopic effective stress-strain curve and texture evolution are compared to those obtained using both upper and lower bound models.

일본내 연구동향 (6편중 제4편) (State-of-the-art of the multi-scale analysis of advanced composite materials by homogenization method)

  • Takano, Naoki
    • Composites Research
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    • 제15권5호
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    • pp.44-52
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    • 2002
  • To study numerically the mechanical behaviors of advanced composite materials considering the microscopic phenomena as well as the macroscopic properties and behaviors, a multi-scale modeling and analysis by the mathematical homogenization method with the help of the finite element method(FEM) are reviewed. The hierarchical modeling strategy and the formulation are briefly described first to give some idea of the multi-scale framework. The latter half of this article focuses on the verification of the multi-scale analysis by the homogenization method in its applications to real advanced materials. The first example is the verification of the predicted macroscopic(homogenized) properties based on the microstructure of porous ceramics. In spite of the complexity of the random microstructure, the error between the predicted and the measured values was only 1%. Next, two applications to the process simulation of fiber reinforced polymer matrix composites are presented. The permeability characteristics are evaluated for sheared weave fabrics for resin transfer molding(RTM) simulation, and the thermoforming of FRTP sheet is analyzed considering the large deformation of the knit structure during the deep-draw forming was verified by comparison with the experimental results.

밀도 분포를 이용한 구조물 및 리브의 최적 위상 설계 (Optimal Topoloty Design of Structures and Ribs Using Density Distribution)

  • 정진평;이건우
    • 한국정밀공학회지
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    • 제13권7호
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    • pp.66-77
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    • 1996
  • Optimal topology design is to search the optimal configuration of a structure which can be used as a shape at the conceptual design stage. Our objective is to maximize the stiffness of the structures and ribs under a material usage constraintl. The density of each finite element is the design variable and its relationship with Young's modulus is expressed by quadratic form. The configuration is represented by the entire density distribution, the structural analysis is performed by finite element method and the optimiza- tion is performed by Feasible Direction Method. Feasible Direction Method can handle various problems simultaneously, that is, mult-objectives and multi-constraints. Total computation time can be reduced by the quadratic relationship between the density and the material property and fewer design variables than Homogenization Method. Toplogy optimization technique developed in this research is applied to design the shapes of the ribs.

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길이방향으로 주름진 원통셸의 진동 해석 (Vibration Analysis of Longitudinally Corrugated Cylindrical Shells)

  • 김영완
    • 한국소음진동공학회논문집
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    • 제26권7호
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    • pp.851-856
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    • 2016
  • In this paper, the free vibration characteristics of longitudinally corrugated cylindrical shells is investigated by the theoretical analysis. The equivalent homogenization model is adapted to investigate the overall mechanical behavior of these corrugated shells. The corrugated element can be represented as an orthotropic material. Both the effective extensional and flexural stiffness of this equivalent orthotropic material are considered in the analysis. To demonstrate the validity of the proposed theoretical approach, the theoretical results are compared with those from 3D finite element analysis using ANSYS commercial code. Some numerical results are presented to check the effect of the geometric properties.