• Title/Summary/Keyword: Stress Smoothing Method

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

  • 이동진;홍종현;이채규;우광성
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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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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A study on the improvement method of the stress field analysis in a domain composed of dissimilar materials (이종재료로 구성된 영역의 응력장 해석 개선방안 연구)

  • Song, Kee-Nam
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.11
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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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    • v.54 no.9
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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.

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

  • Han, Seog-Young;Kim, Min-Sue;Hwang, Joon-Sung;Choi, Sang-Hyuk;Park, Jae-Yong;Lee, Byung-Ju
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.16 no.1
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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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    • v.30 no.3
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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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Slope Stability Analysis of Unsaturated Soil Slopes Due to Rainfall Infiltration (강우침투에 따른 불포화 토사사면의 안정해석)

  • 조성은;이승래
    • Journal of the Korean Geotechnical Society
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    • v.16 no.1
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    • pp.51-64
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    • 2000
  • This paper presents a procedure of calculating a safety factor of the unsaturated slope suffering from the rainfall infiltration. The process of infiltration into a slope due to rainfall and its effect on the behavior of the soil slope are examined by using a two dimensional finite element flow-deformation coupled analysis. A factor of safety is calculated at various elapsed times after the commencement of rainfall as in the following procedure. First, stresses are estimated at each Gaussian point from the coupled finite element analysis. Then, the global stress smoothing method is applied to get a continuous stress field. Based on this stress field, a factor of safety is calculated for a specified slip surface by a stress integration scheme. Then, a search strategy is used to find out a critical slip surface which is associated with the minimum factor of safety. Some numerical examples are analyzed in order to study the effect of hydraulic conductivity on the slope stability during rain-induced infiltration. According to the results, local failure zone can be formed near the slope surface due to inhomogeneous distribution of hydraulic conductivity If the failure zone is once formed, then the region extends until a large amount of slide activates. Therefore the local failure can be neglected no longer in the stability analysis.

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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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    • v.2 no.3
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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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    • v.15 no.4
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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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Algorithms for iso-surface representation of res from finite element analysis of stress (유한요소법에 의한 응력 해석 결과의 등가면 표시 알고리즘)

  • Lee, Jae Young;Lee, Young-Jin
    • Journal of the Korea Computer Graphics Society
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    • v.3 no.2
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    • pp.85-97
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    • 1997
  • This study is intended to propose methods of iso-surfaces representation in visualizing the stress distribution in 3-dimensional solids computed by finite element method, and to develop efficient algorithms related to iso-surfaces, and also to exploit the practical application to various data visualizations. This paper suggests practical methods of creating and rendering iso-surfaces, and methods of surface smoothing which removes local irregularity on the surface. Also devised in this study are various methods of rendering stress distribution with the aid of iso-surfaces. Their effectiveness and usefulness have been tested and verified through actual implementaion of a finite element analysis software and case studies using the software.

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

  • 김길동;신정렬;이우동;한석윤;박기준
    • Journal of the Korean Society for Railway
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    • v.7 no.1
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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.