• Interaction and multiscale mechanics
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• 제3권2호
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• pp.123-143
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• 2010

The essential idea of the element-free Galerkin method (EFG) is that moving least-squares (MLS) approximation are used for the trial and test functions with the variational principle (weak form). By using the weighted orthogonal basis function to construct the MLS interpolants, we derive the formulae for an improved element-free Galerkin (IEFG) method for solving three-dimensional problems in linear elasticity. There are fewer coefficients in improved moving least-squares (IMLS) approximation than in MLS approximation. Also fewer nodes are selected in the entire domain with the IEFG method than is the case with the conventional EFG method. In this paper, we selected a few example problems to demonstrate the applicability of the method.

• Interaction and multiscale mechanics
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• 제5권3호
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• pp.287-318
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• 2012

We apply a partitioned-solution (iterative-staggered) coupling method based on a fixed Eulerian mesh with the level set function to a large-deformation fluid-structure interaction (FSI) problem where a large-deformable thin structure moves in a high-speed flow field, as an airbag does during deployment. This method combines advanced fluid and structure solvers-specifically, the constrained interpolation profile finite element method (CIP-FEM) for fluid Eulerian mesh and large-deformable structural elements for Lagrangian structural mesh. We express the large-deformable interface as a zero isosurface by the level set function, and introduce virtual nodes with level sets and structural normal velocities to generate the level set function according to the large-deformable interfacial geometry and enforce the kinematic condition at the interface. The virtual nodes are located in the direction normal to the structural mesh. It is confirmed that application of the method to unfolded airbag deployment simulation shows the adequacy of the method.

• 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.

• Interaction and multiscale mechanics
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• 제2권3호
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• pp.295-319
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• 2009

In this work, we discuss a reproducing kernel collocation method (RKCM) for solving $2^{nd}$ order PDE based on strong formulation, where the reproducing kernel shape functions with compact support are used as approximation functions. The method based on strong form collocation avoids the domain integration, and leads to well-conditioned discrete system of equations. We investigate the convergence and the computational complexity for this proposed method. An important result obtained from the analysis is that the degree of basis in the reproducing kernel approximation has to be greater than one for the method to converge. Some numerical experiments are provided to validate the error analysis. The complexity of RKCM is also analyzed, and the complexity comparison with the weak formulation using reproducing kernel approximation is presented.

• Advances in biomechanics and applications
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• 제1권2호
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• pp.111-126
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• 2014

The microarchitecture of trabecular bone plays a significant role in mechanical strength due to its load-bearing capability. However, the complexity of trabecular microarchitecture hinders the evaluation of its morphological characteristics. We therefore propose a new classification method based on static multiscale theory and dynamic finite element method (FEM) analysis to visualize a three-dimensional (3D) trabecular network for investigating the influence of trabecular microarchitecture on load-bearing capability. This method is applied to human vertebral trabecular bone images obtained by micro-computed tomography (micro-CT) through which primary trabecular bone is successfully visualized and extracted from a highly complicated microarchitecture. The morphological features were then analyzed by viewing the percolation of load pathways in the primary trabecular bone by using the stress wave propagation method analyzed under impact loading. We demonstrate that the present method is effective for describing the morphology of trabecular bone and has the potential for morphometric measurement applications.

• 한국원자력학회:학술대회논문집
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• 한국원자력학회 1998년도 춘계학술발표회논문집(2)
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• pp.705-710
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• 1998

We describe a multigrid wavelet-based natural pixel (WNP) method for image reconstruction in emission computed tomography (ECT). The ECT is used to identify the tagged radioactive material's position in the body for detection of abnormal tissue such as tumor or cancer, as in SPECT and PET. With ECT methodology in parallel beam mode, we formulate a matrix-based reconstruction method for radionuclide sources in the human body. The resulting matrix for a practical problem is very large and nearly singular. To overcome this ill-conditioning, wavelet transform is considered in this study. Wavelets have inherent de-noising and multiscale resolution properties. Therefore, the multigrid wavelet-based natural pixel (WNP) method is very efficient to reconstruct image from projection data that is noisy and incomplete. We test this multigrid wavelet natural pixel (WNP) reconstruction method with the MCNP generated projection data for diagnosis of the simulated cancerous tumor.

• Interaction and multiscale mechanics
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• 제6권2호
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• pp.257-270
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• 2013

The use of lightweight materials has been steadily increasing in the automotive industry, and presents new challenges to material joining. Among many joining processes, self-piercing riveting (SPR) is particularly promising for joining lightweight materials (such as aluminum alloys) and dissimilar materials (such as steel to Al, and metal to polymer). However, to establish a process window for optimal joint performance, it often requires a long trial-and-error testing of the SPR process. This is because current state of the art in numerical analysis still cannot effectively resolve the problems of severe material distortion and separation in the SPR simulation. This paper presents a coupled meshfree/finite element with a moving boundary algorithm to overcome these numerical difficulties. The simulation results are compared with physical measurements to demonstrate the effectiveness of the present method.

• Journal of Information Processing Systems
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• 제19권3호
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• pp.370-376
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• 2023

Aiming at the problems of low image enhancement accuracy, long enhancement time and poor image quality in the traditional robot sequence motion image enhancement methods, an adaptive enhancement method for robot sequence motion image is proposed. The feature representation of the image was obtained by Karhunen-Loeve (K-L) transformation, and the nonlinear relationship between the robot joint angle and the image feature was established. The trajectory planning was carried out in the robot joint space to generate the robot sequence motion image, and an adaptive homomorphic filter was constructed to process the noise of the robot sequence motion image. According to the noise processing results, the brightness of robot sequence motion image was enhanced by using the multi-scale Retinex algorithm. The simulation results showed that the proposed method had higher accuracy and consumed shorter time for enhancement of robot sequence motion images. The simulation results showed that the image enhancement accuracy of the proposed method could reach 100%. The proposed method has important research significance and economic value in intelligent monitoring, automatic driving, and military fields.

• 한국정보전자통신기술학회논문지
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• 제11권3호
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• pp.229-234
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• 2018

텍스춰는 영상을 분류하거나 분할하는데 사용되는 유용한 특징이다. 기존에 제안되었던 LBP는 텍스춰 영상의 지역적인 특징을 간단한 연산을 통해 성공적으로 추출하는 기법으로서 많은 응용 분야에서 높은 성능을 보인 것으로 확인되었지만 오직 화소값의 차이만을 토대로 특징을 기술하기 때문에 잡음에 약하고 특히 이웃화소의 수가 증가함에 따라 특징벡터의 차원이 기하급수적으로 증가하는 문제점으로 인해 멀티스테일 텍스춰 기술자로서 사용하기에는 제약이 크다. 본 논문은 이런 LBP의 단점을 극복하기 위하여 화소값의 범위를 구간별로 양자화하여 양자화영상의 화소값의 상관관계를 3차원 히스토그램으로 표현하는 기법을 제시한다. 이와 같이 3차원 히스토그램을 이용하여 화소값 사이의 상관 관계를 추출하면 특징벡터의 차원이 선형적으로 증가하는 특성을 가지므로 멀티스케일 텍스춰 기술자로 다양하게 응용될 수 있다. 제안하는 방법을 텍스춰 실험영상을 통해 실험한 결과 텍스춰를 분류하는 문제에 있어서 LBP와 비교하여 유의 수준의 성능의 향상을 확인하였다.

• Korean Chemical Engineering Research
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• 제46권6호
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• pp.1087-1094
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• 2008

본 연구는 활성탄을 사용한 n-hexane의 흡착공정에 있어서 분자수준에서 시작하여 공정단계에 이르는 다중규모 모사에 관하여 기술한다. 분자모사에서는 GCMC(Grand Canonical Monte Carlo) 방법을 이용하여 활성탄에서 n-hexane의 등온흡착식을 예측하고, 2차원 전산유체역학(CFD; Computational fluid dynamics) 모사를 통하여 흡착컬럼 내 유체흐름에 대한 수력학적 특성을 파악한다. 공정모사단계에서는 분자모사 및 유체역학 모사에서 각각 얻은 등온흡착식과 축방향 확산계수값을 이용하여 n-hexane의 용출곡선을 얻는다. 이러한 3단계 다중규모 모사기법을 활용하여 얻은 공정모사 결과는 펄스응답의 실험결과와 비교해볼 때, 온도와 유량변화에 따른 1차 모멘트(평균 체류시간)에 관하여 약 20% 미만의 오차범위에서 일치함을 확인할 수 있다. 이 결과로부터 분자수준에서 시작하는 다중규모 모사는 필요한 실험횟수를 줄이면서 흡착공정 개발을 가속화할 수 있는 가능성을 보여준다.