• The Mathematical Education
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• v.63 no.3
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• pp.527-547
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• 2024

It is difficult for mathematics teachers to develop mathematical modeling tasks and implement mathematical modeling lessons for their students. These difficulties serve as a reason why mathematical modeling lessons are not implemented well in school mathematics. In this study, we aimed to examine how preservice mathematics teachers (PMTs) modify mathematical modeling tasks in mathematics textbooks as a way to develop mathematical modeling tasks and how they implement the mathematical modeling lesson. In particular, we focused on how the openness and reality reflected in the task and the mathematical modeling process change as PMTs modify the tasks. We collected data through PMTs' evaluation reports on analyzing textbook tasks, task modification, lesson plans and implementations, peer evaluation, and self-evaluation. Then, we analyzed these data according to the case analysis process. The findings revealed that when PMTs modified the textbook task, they focused on and improved the openness and the defining variables and the model stages of mathematical modeling process. However, when PMTs implemented lesson, the openness and the defining variables and the model stages of mathematical modeling process were restricted again. PMTs did not focus on other stages. Based on these results, the theoretical and practical implications of the study was discussed.

• Computational Structural Engineering
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• v.10 no.3
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• pp.241-250
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• 1997

The strain localization of concrete is a phenomenon such that the deformation of concrete is localized in finite region along with softening behavior. The objective of this paper is to develop a plasticity and damage algorithm for the finite element analysis of the strain-localization in concrete. In this paper, concrete member under strain localization is modeled with localized zone and non-localized zone. For modeling of the localized zone in concrete under strain localization, a general Drucker-Prager failure criterion by which the nonlinear strain softening behavior of concrete after peak-stress can be considered is introduced in a thermodynamic formulation of the classical plasticity model. The return-mapping algorithm is used for the integration of the elasto-plastic rate equation and the consistent tangent modulus is also derived. For the modeling of non-localized zone in concrete under strain localization, a consistent nonlinear elastic-damage algorithm is developed by modifying the free energy in thermodynamics. Using finite element program implemented with the developed algorithm, strain localization behaviors for concrete specimens under compression are simulated.

• Composites Research
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• v.17 no.5
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• pp.54-60
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• 2004

A new three-dimensional model for predicting the relationship between the prestrain of the composite and the amount of phase transformation of shape memory alloy inducing shape memory effect has been proposed by using Eshelby's equivalent inclusion method with Mori-Tanaka's mean field theory. The model composite is aluminum matrix reinforced with short TiNi fiber shape memory alloy, where the matrix is work-hardening material of power-law type. The analytical results predicted by the current model show that most of the prestrain is induced by the plastic deformation of the matrix, except the small prestrain region. The strengthening mechanism of the composite by the shape memory effect should be explained by excluding its increase of yield stress due to the work-hardening effect of the matrix.

• Journal of the Korea Computer Graphics Society
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• v.16 no.3
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• pp.21-30
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• 2010

We present a real-time simulation method for muscles which are actuated by skeletal structure based on anatomical properties of the muscles. Muscles are designed by their two endpoints attached to either bones or other muscles and their volume are preserved approximately during the deformation. Skin deformation animation is obtained by a simple skinning due to the muscle deformation. We present also the performance data for a human-like multi-linked character which has bones, muscles, and skin. According to our experimental result, we can get skin deformation animation with a few tens of muscles in real-time. The method proposed in this paper can be applied to obtain skin deformation animation for multi-linked characters appear frequently in real-time environments such as games.

• Journal of the Korea institute for structural maintenance and inspection
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• v.22 no.6
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• pp.130-137
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• 2018

Many constitutive models for concrete have been developed to predict the nonlinear behavior of concrete members considerably. The constitutive model for reinforcing bar that include the tension stiffening effect due to the bond characteristics between steel bars and concrete is being studied but the bilinear model is generally used. It was found that the buckling of the longitudinal reinforcing bars is controlled the nonlinear behavior of hybrid precast concrete panel, which is being developed for core wall. In this study, the constitutive models that can consider the embedding and buckling effects of reinforcing bar are investigated and a new model combing these constitutive models is proposed. In order to verify the proposed model, the analysis results are compared with experimental results of the concrete wall and hybrid precast concrete panel. The analysis of embedding-effect-only modeling predicted that the deformation increases continually without the decrease in the load carrying capacity. However, the analysis results of proposed model showed good agreement with some experimental results, thus verifying the proposed computational model.

• Proceedings of the Korean Information Science Society Conference
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• 2000.04b
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• pp.625-627
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• 2000

최근 실시간 가상 인물 애니메이션 시스템이 활발하게 보급되면서 피부모양을 자연스럽게 유지하면서도 고속으로 동작할 수 있는 인체 변형 방법이 요구되고 있다. 본 논문은 가상 인물을 구성하는 메쉬의 정점들을 회전 연산만으로 이동시켜 실시간에 인체를 변형하는 모델을 제안한다. 인체 변형의 처리과정으로 드로니 삼각화를 이용하여 각 정점의 회전 기준이 될 관절을 찾는 방법을 제시하고, 사원수 형태로 입력된 동작을 회전축의 방향에 따라 분해한 후 각 정점에 차등적으로 적용하여 피부를 자연스럽게 변형할 수 있음을 보인다.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 1995.04b
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• pp.499-503
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• 1995

VTR은 생산체제에 있었서 대량생산방식을 채택하는 전형적인 제품으로서 그 기구부와 회로부의 설계 및 해석에 관하여 많은 연구가 수행되어왔다. 본 연구에서는 조정공정의 자동화를 위하여 헤드드럼에서의 테이프 변형을 결정하는 요소 p2, p3 포스트의 조정에 관한 연구가 수행되었다. 테이프의 변형을 측정하기 위해서 먼저 테이프 변형의 단순화된 모델이 제안되었으며 영상헤드에 의해 읽혀지는 RF 신호로 부터 테이프의 변형을 측정하는 방법과 테이프 변형으로 부터 p2, p3 포스트의 오조정량을 찾는 신경외로망을 이용한 역모델이 개발되었다.

• Proceedings of the Korean Information Science Society Conference
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• 2002.10d
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• pp.409-411
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• 2002

컴퓨터상의 물체들을 사용자가 원하는 형태로 변형시켜주는 것은 그래픽스에서 흥미로운 과제이다. 본 논문에서는 사용자의 입력에 따라 자연스러운 변형을 보여주는 방법을 제시한다. 단지 컴퓨터 상에서 물체들의 물리적인 성질만 주어진다면, 물리기반 모델링을 이용해서 어떤 물체들에 대해서도 변형에 대한 동작이 가능하다. 본 논문에서 제시한 개선된 변형 모델은 컴퓨터 게임이나 시뮬레이션등에 널리 사용될 수 있을 것이다.

• Proceedings of the Korean Society of Precision Engineering Conference
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• 2004.10a
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• pp.768-773
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• 2004

Developed in this paper a mass-spring engine to represent and manipulate deformable objects. The deformable object model is a basic technology in the ‘Tangible Space Initiative’. The mass-spring model consists of structural, shear and bending springs. Various forces like external, friction, gravity, spring, and damping forces are considered and collision with planes and spheres are treated. When a sphere collide mass-spring model, mass-spring engine calculates external force to interface mass-spring model. A prototype system is implemented in C on an MS windows machine.

• Journal of Korean Society for Geospatial Information Science
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• v.3 no.2 s.6
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• pp.151-158
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• 1995

Change detection, image differencing technique, is the most widely used in a variety of image environments. The digital terrain model and digital images have the same data structure. This study applied digital terrain model and change detection technique for inspecting the deflection of the structure. Authors make digital terrain model from triangular irregular network(TIN) by leveling data and suggest to possibility recognize modification part and volumes by digital terrain model and change detection technique. Authors can reduce testing materials and man power, and displayed his modification part.