• 대한수학회지
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• 제58권2호
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• pp.501-523
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• 2021

We study the geometry of the moduli space of elliptic stable maps to projective space. The main component of the moduli space of elliptic stable maps is singular. There are two different ways to desingularize this space. One is Vakil-Zinger's desingularization and the other is via the moduli space of logarithmic stable maps. Our main result is a proof of the direct geometric relationship between these two spaces. For degree less than or equal to 3, we prove that the moduli space of logarithmic stable maps can be obtained by blowing up Vakil-Zinger's desingularization.

• 한국방재학회 논문집
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• 제6권1호
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• pp.39-48
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• 2006

본 시험은 다양한 sine파형을 가진 인장 및 압축 하중 하에서 아스팔트 혼합물의 모듀율값 을 비교평가하기 위하여 수행되었다. 즉, 휴식시간을 가진 반복 인장 haversine 하중, 휴식시간을 가진 반복 압축 haversine 하중, 주기적 인장하중, 주기적 압축하중, 그리고 주기적 인장-압축 반복하중이라는 총 5개의 하중형태가 32, 50, 68, 86, $104^{\circ}F$ (0, 10, 20, 30, $40^{\circ}C$) 라는 5개의 온도하에서 평가되었다. 시험결과, 휴식시간을 가진 반복 haversine 하중으로 인한 아스팔트 콘크리트의 인장 및 압축 모듀율 값은 저온에서 유사한 값을 나타내었지만, 고온에서는 상이한 값을 보였다. 특히, 고온에서 압축 모듀율 값은 인장 모듀율 값보다 높은 수치를 보였다. 또한, 저온에서 일축 직접인장 시험으로부터 구한 모듀율 값은 간접 인장시험으로부터 구한 모듀율 값보다 높은 값을 나타내었다. 그러나, 고온에서는 서로 유사한 값을 보였다. 일반적으로, 휴식시간을 갖는 반복 haversine 하중을 이용하여 얻은 모듀율 값은 주기적 sine파형을 가진 하중으로부터 구한 모듀율 값보다 항상 낮은 값을 나타내었으며 그 두 가지 하중으로부터 구한 모듀율 값의 차이는 온도가 감소함에 따라 더욱 증가되었다.

• 충청수학회지
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• 제21권2호
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• pp.183-188
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• 2008

We will derive recursion formulas satisfied by the traces of singular moduli for the higher level modular function.

• Structural Engineering and Mechanics
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• 제54권5호
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• pp.855-875
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• 2015

Many novel materials exhibit a property of different elastic moduli in tension and compression. One such material is graphene, a wonder material, which has the highest strength yet measured. Investigations on buckling problems for structures with different moduli are scarce. To address this new problem, firstly, the nondimensional expression of the relation between offset of neutral axis and deflection curve is derived based on the phased integration method, and then using the energy method, load-deflection relation of the rod is determined; Secondly, based on the improved constitutive model for different moduli, large deformation finite element formulations are developed and combined with the arc-length method, finite element iterative program for rods with different moduli is established to obtain buckling critical loads; Thirdly, material mechanical properties tests of graphite, which is the raw material of graphene, are performed to measure the tensile and compressive elastic moduli, moreover, buckling tests are also conducted to investigate the buckling behavior of this kind of graphite rod. By comparing the calculation results of the energy method and finite element method with those of laboratory tests, the analytical model and finite element numerical model are demonstrated to be accurate and reliable. The results show that it may lead to unsafe results if the classic theory was still adopted to determine the buckling loads of those rods composed of a material having different moduli. The proposed models could provide a novel approach for further investigation of non-linear mechanical behavior for other structures with different moduli.

• Geomechanics and Engineering
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• 제19권4호
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• pp.353-360
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• 2019

The elastic modulus is an important parameter to characterize the property of rock. It is common knowledge that the strengths of rocks are significantly different under tension and compression. However, little attention has been paid to the bi-modularity of rock. To validate whether the rock elastic moduli in tension and compression are the same, Brazilian disc, direct tension and compression tests were conducted. A horizontal laser displacement meter and a pair of vertical and transverse strain gauges were applied. Four types of materials were tested, including three types of rock materials and one type of steel material. A comprehensive comparison of the elastic moduli based on different experimental results was presented, and a tension-compression anisotropy model was proposed to explain the experimental results. The results from this study indicate that the rock elastic modulus is different under tension and compression. The ratio of the rock elastic moduli under compression and tension ranges from 2 to 4. The rock tensile moduli from the strain data and displacement data are approximate. The elastic moduli from the Brazilian disc test are consistent with those from the uniaxial tension and compression tests. The Brazilian disc test is a convenient method for estimating the tensile and compressive moduli of rock materials.

• 대한수학회논문집
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• 제27권3호
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• pp.571-581
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• 2012

The moduli spaces of stable quasimaps unify various moduli appearing in the study of Gromov-Witten theory. This note is a survey article on the moduli of stable quasimaps, based on papers [9, 11, 18] as well as the author's talk at Kinosaki Algebraic Geometry Symposium 2010.

• Kyungpook Mathematical Journal
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• 제46권4호
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• pp.591-595
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• 2006

In this paper, we define ${\Delta}^m$-Lacunary strongly convergent sequences defined by sequence of moduli and give various properties and inclusion relations on these sequence spaces.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 1995년도 봄 학술발표회 논문집
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• pp.345-349
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• 1995

Although heterogeneous materials consisted of micro-constituents are complicated, it is possible to evaulate effective elastic moduli by using micro-mechanics models. In order to evaluate effective elastic moduli of concrete, all aggregates in a representative volume element(RVE) are assumed spherical and randomly distributed. A dilute distribution of inclusions is considered first, and the corresponding overall elastic moduli of the RVE are estimated. Then, the self-consistent method is used in order to take into account the interaction effects. The elastic moduli of concrete are calculated using the models and compared with those of experiment for different volume fractions of the aggregates and elastic moduli of the mortar and the aggregates.

• 터널과지하공간
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• 제10권3호
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• pp.301-308
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• 2000

균열모형을 이용하여 압축 하중하에 있는 암석의 비선형 거동을 예측하는 것은 가능하다. 암석내의 균열의 성장은 암석의 이방성을 가져오며, 이러한 이방성의 정도는 단성계수의 변화로 표현될 수 있다. 본 연구에서는 균열의 성장에 따른 탄성계수의 변화를 이론적인 균열모형을 통해 예측하고, 이를 탄성파 속도 시험을 통해 구한 탄성계수와의 비교를 수행하였다. 또한, 균열모형에 사용되는 초기 암석내 존재하는 균열에 대한 정보는 암석표면의 이미지를 분석하여 구하였다.

• 대한토목학회논문집
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• 제10권1호
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• pp.47-56
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• 1990

본 연구에서는 FWD시험의 표면 처짐곡선으로부터 시멘트 콘크리트 포장구조체의 물성 및 응력을 추정할 수 있는 역산반복기법을 개발하였다. 국내에 가설되어 있는 시멘트 콘크리트 포장구조체에 대한 요소설계를 실시하여 구한 모형들에 대하여 유한요소와 층탄성이론을 조합한 해석방법을 적용하여 처짐 특성 및 탄성 계수 추정식을 구하였다. 추정식에 의한 각 층의 탄성계수를 초기 탄성계수로 하고, 탄성계수 변화율과 처침 변화율의 관계를 이용하여 반복역산시 탄성계수 보정에 사용하였다. 각 고속도로 노선별로 효율적인 역산반복기법을 전산화하였으며, 수치모델을 통하여 신뢰성 및 타당성을 검증하였다.