• 제목/요약/키워드: Stress Smoothing Method

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Kriging 보간법에 의한 응력 평활화 (Stress Smoothing by Kriging Interpolation)

  • 이동진;홍종현;이채규;우광성
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 가을 학술발표회 논문집
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    • pp.317-324
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    • 2003
  • Kriging interpolation is one of the gennerally used interpolation techniques in Geostatics field. This research refers to the contents about important experimental variogram and the study of theoretical variogram and formulation of Kriging interpolation. Kriging interpolation is applied as interpolation for stress smoothing in finite element method. Posteriori error estimation which makes use of stress smoothing from the FEM is very important part, we try to make practical application of surface regeneration ability from Kriging interpolation. This research is necessary preceding one in order to materialize adaptive FTM through posteriori error estimation. For instance, find the estimate value and estimate the propriety through various theoretical variogram models of the reference analyzed from tensional L-shape domain. It also provides possibility of the Kriging interpolation through comparing to existing Least square method as well.

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이종재료로 구성된 영역의 응력장 해석 개선방안 연구 (A study on the improvement method of the stress field analysis in a domain composed of dissimilar materials)

  • 송기남
    • 대한기계학회논문집A
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    • 제21권11호
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    • pp.1844-1851
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    • 1997
  • Displacement fields and interface stresses are obtained by modifying the potential energy functional with a penalty function which enforces the continuity of stresses at the interface of two-materials. Based on the displacement field and the interface stresses, a new methodology to generate a continuous stress field over the entire domain including the interface of the dissimilar materials has been proposed by combining the L$^{2}$ projection method of stress-smoothing and the Loubignac's iterative method of improving the displacement field. Stress analysis was carried out on two examples which are made of highly dissimilar materials. As a result of the analysis, it is found that the proposed method provides improved continuity of the stress field over the entire domain as well as predicting accurate nodal stresses at the interface. In contrast, the conventional displacement-based finite element method provides significant stress discontinuties at the interfaces. In addition, it was found that the total strain energy evaluated from the improved continuous stress field converge to the exact value as increasing the number of iterations in the proposed method.

Effect of post processing of digital image correlation on obtaining accurate true stress-strain data for AISI 304L

  • Angel, Olivia;Rothwell, Glynn;English, Russell;Ren, James;Cummings, Andrew
    • Nuclear Engineering and Technology
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    • 제54권9호
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    • pp.3205-3214
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    • 2022
  • The aim of this study is to provide a clear and accessible method to obtain accurate true-stress strain data, and to extend the limited material data beyond the ultimate tensile strength (UTS) for AISI 304L. AISI 304L is used for the outer construction for some types of nuclear transport packages, due to its post-yield ductility and high failure strain. Material data for AISI 304L beyond UTS is limited throughout literature. 3D digital image correlation (DIC) was used during a series of uniaxial tensile experiments. Direct method extracted data such as true strain and instantaneous cross-sectional area throughout testing such that the true stress-strain response of the material up to failure could be created. Post processing of the DIC data has a considerable effect on the accuracy of the true stress-strain data produced. Influence of subset size and smoothing of data was investigated by using finite element analysis to inverse model the force displacement response in order to determine the true stress strain curve. The FE force displacement response was iteratively adapted, using subset size and smoothing of the DIC data. Results were validated by matching the force displacement response for the FE model and the experimental force displacement curve.

PCB판의 위상 최적화를 위한 재료혼합법의 개발 (Development of a Material Mixing Method for Topology Optimization of PCB Substrate)

  • 한석영;김민수;황준성;박재용;최상혁;이병주
    • 한국공작기계학회논문집
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    • 제16권1호
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    • pp.47-52
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    • 2007
  • A material mixing method to obtain an optimal topology for a structure in a thermal environment was suggested. This method is based on Evolutionary Structural Optimization(ESO). The proposed material mixing method extends the ESO method to a mixing several materials for a structure in the multicriteria optimization of thermal flux and thermal stress. To do this, the multiobjective optimization technique was implemented. The overall efficiency of material usage was measured in terms of the combination of thermal stress levels and heat flux densities by using a combination strategy with weighting factors. Also, a smoothing scheme was implemented to suppress the checkerboard pattern in the procedure of topology optimization. It is concluded that ESO method with a smoothing scheme is effectively applied to topology optimization. Optimal topologies having multiple thermal criteria for a printed circuit board(PCB) substrate were presented to illustrate validity of the suggested material mixing method. It was found that the suggested method works very well for the multicriteria topology optimization.

A Study on the Improvement of Stress Field Analysis in a Domain Composed of Dissimilar Materials

  • Song, Kee-Nam;Lee, Jin-Seok
    • Nuclear Engineering and Technology
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    • 제30권3호
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    • pp.202-211
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    • 1998
  • Interfacial stresses at two-material interfaces and initial displacement field over the entire domain are obtained by modifying the potential energy functional with a penalty function, which enforces continuity of the stresses at the interface of two materials. Based on the initial displacement field and interfacial stresses, a new methodology to generate a continuous stress field over the entire domain has been proposed by combining the modified projection method of stress-smoothing and Loubignac's iterative method of improving the displacement field. Stress analysis is carried out on two examples made of dissimilar materials : one is a two-material cantilever composed of highly dissimilar materials and the other is a zirconium-lined cladding tube made of slightly dissimilar materials. Results of the analysis show that the proposed method provides an improved continuous stress field over the entire domain, and accurately predicts the nodal stresses at the interface, while the conventional displacement-based finite element method produces significant stress discontinuities at the interface. In addition, the total strain energy evaluated from the improved continuous stress field converges to the exact value in a few iterations.

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강우침투에 따른 불포화 토사사면의 안정해석 (Slope Stability Analysis of Unsaturated Soil Slopes Due to Rainfall Infiltration)

  • 조성은;이승래
    • 한국지반공학회논문집
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    • 제16권1호
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    • pp.51-64
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    • 2000
  • 본 연구는 강우의 침투로 인한 불포화 토사사면의 안정 해석을 위한 절차를 제시한다. 강우 침투로 인한 사면의 거동은 흐름과 변형이 연관된 이차원 유한요소해석을 통하여 해석된다. 시간에 따른 안전율을 계산하기 위하여 유한요소 해석법을 통한 응력장(stress field)으로부터 가상활동면에 대한 안전율을 산정할 수 있도록 하는 정교한 응력적분기법을 적용하였고 기하학적으로 허용가능한 활동단면의 형상을 유지하면서 합리적으로 임계단면을 찾아가는 최적화방법을 적용함으로써 강우에 의한 토사사면의 안정성 평가 절차를 개발하였다. 또한 이를 이용하여 강우침투시 투수계수의 공간적인 변화가 불포화토사사면의 파괴 거동에 미치는 영향을 보다 공학적이고 합리적인 방법으로 연구하였다. 연구결과에 의하면 투수계수의 불균질한 분포로 인하여 강우에 의한 사면표면의 국부적인 파괴영역이 발생할 수 있고 이러한 영역이 점점 확대되어 전체적인 파괴에 이르게 된다. 그러므로 시간의존적 인 사면안정해석 문제의 경우 이러한 국부적인 파괴 영역의 영향을 더 이상 무시할 수 없다.

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Convergence studies for Enriched Free Mesh Method and its application to fracture mechanics

  • Matsubara, Hitoshi;Yagawa, Genki
    • Interaction and multiscale mechanics
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    • 제2권3호
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    • pp.277-293
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    • 2009
  • The Enriched Free Mesh Method (EFMM) is a patch-wise procedure in which both a displacement field on an element and a stress/strain field on a cluster of elements connected to a node can be defined. On the other hand, the Superconvergent Patch Recovery (SPR) is known to be an efficient post-processing procedure of the finite element method to estimate the error norm at a node. In this paper, we discuss the relationship between solutions of the EFMM and those of the SPR through several convergence studies. In addition, in order to solve the demerit of the smoothing effect on the fracture mechanics fields, we implement a singular stress field to a local patch in the EFMM, and its effectiveness is investigated.

Finite Elements Adding and Removing Method for Two-Dimensional Shape Optimal Design

  • Lim, Kyoung-Ho;John W. Bull;Kim, Hyun-Kang
    • Journal of Mechanical Science and Technology
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    • 제15권4호
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    • pp.413-421
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    • 2001
  • A simple procedure to add and remove material simultaneously along the boundary is developed to optimize the shape of a two dimensional elastic problems and to minimize the maximum von Mises stress. The results for the two dimensional infinite plate with a hole, are close to the theoretical results of an elliptical boundary and the stress concentration is reduced by half for the fillet problem. The proposed shape optimization method, when compared with existing derivative based shape optimization methods has many features such as simplicity, applicability, flexibility, computational efficiency and a much better control on stresses on the design boundary.

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유한요소법에 의한 응력 해석 결과의 등가면 표시 알고리즘 (Algorithms for iso-surface representation of res from finite element analysis of stress)

  • 이재영;이영진
    • 한국컴퓨터그래픽스학회논문지
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    • 제3권2호
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    • pp.85-97
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    • 1997
  • 이 연구의 목적은 유한요소법에 의해 계산된 3차원 고체의 응력 분포를 등가면 (iso-surface)을 이용하여 이해하기 쉽게 가시화하는 방법을 제시하고, 이와 관련된 효율적인 알고리즘을 개발하며, 등가면 표시방법의 실용적 응용방법을 개척하는데 있다. 이 논문은 등가변을 생성하는 방법과, 생성된 등가연의 국부적인 불규칙성을 제거하고, 연속적이며 완만하게 굴곡된 곡면으로 평활화하는 방법을 제시하였다. 등가면을 이용한 여러가지 응력 표시방법을 고안하고, 이들의 실제적인 이행과 사례적인 실행을 통해서 그 실용성과 효용성을 검토하였다.

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추진인버터 시험을 위한 실시간 부하 시뮬레이터에 관한 연구 (Study on Real-Time Load Simulator for Testing Propulsion Inverter Test)

  • 김길동;신정렬;이우동;한석윤;박기준
    • 한국철도학회논문집
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    • 제7권1호
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    • pp.1-8
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    • 2004
  • A newly-built inverter has to undergo a series of stress tests in the final stage of production line. This can be achieved by connecting it to a dynamometer consisting of a three-phase machine joined by a rigid shaft to a DC load machine. The latter is controlled to create some specific load characteristic needed for the test. In this paper a test method is proposed, in which no mechanical equipment is needed. The suggested test stand consists only of a inverter to be tested and a simulator converter. Both devices are connected back-to-back on the AC-side via smoothing reactors. The simulator operates in real-time as an equivalent load circuit, so that the device under test will only notice the behaviour of a three-phase machine under consideration of the load. In oder to prove rightness of the suggested test method, the simulation and actural experiment carried out emulation for a 2.2kW induction motor.