• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 1997년도 가을 학술발표회 논문집
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• pp.552-557
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• 1997

In this study, a quantitative analysis technique for the damage process of reinforced concrete beams under repeated shear loading is proposed, which can express the progressively increasing strain and stiffness reduction. The analysis technique is mainly based on the modified compression field theory and scalar damage concept. which describe the strain and stress configuration in the shear zone by considering the 2-dimensional effect, and express the degradation of principal compressive strut by cyclic strain increment, secant modulus decrement, and modifying the parabolic stress strain relationship. The analysis of the response of RC beams under repeated shear-flexure loading has been carried out and compared with the experimental results. The present theory may efficiently be used to evaluate the deflection and strain accumulation under repeated loadings.

• Multiscale and Multiphysics Mechanics
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• 제1권1호
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• pp.15-33
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• 2016

In this paper, an asymptotic method is employed to formulate nano- or micro-beams based on strain gradient elasticity. Although a basic theory for the strain gradient elasticity has been well established in literature, a systematic approach is relatively rare because of its complexity and ambiguity of higher-order elasticity coefficients. In order to systematically identify the strain gradient effect, an asymptotic approach is adopted by introducing the small parameter which represents the beam geometric slenderness and/or the internal atomistic characteristic. The approach allows us to systematically split the two-dimensional strain gradient elasticity into the microscopic one-dimensional through-the-thickness analysis and the macroscopic one-dimensional beam analysis. The first-order beam problem turns out to be different from the classical elasticity in terms of the bending stiffness, which comes from the through-the-thickness strain gradient effect. This subsequently affects the second-order transverse shear stress in which the surface shear stress exists. It is demonstrated that a careful derivation of a first strain gradient elasticity embraces "Gurtin-Murdoch traction" as the surface effect of a one-dimensional Euler-Bernoulli-like beam model.

• Structural Engineering and Mechanics
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• 제90권5호
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• pp.505-515
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• 2024

In this study, obtaining theoretical stress-strain curves and determining the parameters defining the equivalent rectangular stress block were aimed for 3 and 4-layered rectangular Reinforced Concrete (RC) cross-sections subjected to flexure. For these aims, the analytical stress-strain model proposed by Hognestad was chosen for the concrete grades (20 MPa≤fck≤60 MPa) used in this study. The tensile strength of the concrete was neglected and the thickness of the concrete layers in the compression zone of the concrete cross-section was taken as equal. In addition, while concrete strength was kept constant within each layer, concrete strengths belonging to separate layers were increased from the neutral axis towards the outer face of the compression zone of the concrete cross-section. After the equivalent rectangular stress block parameters were determined by numerical iterations, variations of these parameters depending on concrete strength in layers and layer numbers were obtained. Finally, some analytical equations have been proposed to predict the equivalent stress block parameters for the 3 and 4-layered RC cross-sections and validities of these proposed equations were shown by different metrics in this study.

• 한국지반환경공학회 논문집
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• 제19권12호
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• pp.47-58
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• 2018

Duncan & Chang(1970)는 던컨-창 모델을 제안하면서 흙시료의 초기 접선계수와 극한 축차응력을 구하기 위하여 쌍곡선이론을 사용하여 삼축압축시험의 응력-변형률의 비선형관계를 변환된 변형률/축차응력-변형률의 선형관계로 재구성하였다. 그러나 변환된 응력-변형률 관계는 이론적으로 선형관계를 나타내지만, 실제로는 시험이 시작되는 변형률이 작은 구간과 시료가 파괴에 이르는 변형률이 큰 구간에서는 비선형관계를 보인다. 이러한 현상은 삼축압축시험의 응력-변형률 곡선이 완전한 쌍곡선 형태가 아님을 나타낸다. 따라서 변환된 응력-변형률 곡선의 전 구간에 대하여 선형 회귀분석을 실시하여 직선의 식을 구하게 되면, 비선형관계를 나타내는 구간의 범위에 따라 선형관계식의 산정에 편차가 발생하게 된다. 이러한 편차를 줄이기 위하여 본 연구에서는 변환응력-변형률 관계에서 비선형을 나타내는 초반과 종반 구간을 제외한 구간에 대하여 선형회귀분석을 실시함으로써 초기접선계수와 극한 축차응력을 산정하는 수정회귀분석법을 제안하였다. 수정회귀분석법을 검증하기 위하여, 풍화토의 다짐시료에 대하여 압밀-배수 삼축압축시험을 실시하였다. 삼축압축시험의 응력-변형률 곡선으로부터 구한 변환응력-변형률 관계에 대해서 수정회귀분석을 실시하여 Duncan et al.(1980)이 제안한 2점법으로 구한 결과와 비교하였다. 분석결과 수정회기분석법에 비해 Duncan의 2점법으로 산정한 초기 접선계수는 4.0% 크게, 그리고 극한 축차응력은 2.9% 작게 평가되었다.

• 소성∙가공
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• 제10권2호
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• pp.137-143
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• 2001

The change of flow stress due to dynamic recrystallization during hot forming process is investigated. A series of mechanical tests has been conducted at various temperatures, and constitutive relations and recrystallization kinetics were formulated from the test results. The effect of dynamic recrystallization to the flow stress was implemented to a commercial FEM code by conditioned remapping of state variables. The datum strain of stress compensation was optimized to minimize the overestimation of forming loads. Suggested datum was formulated as an exclusive function of critical strain for recrystallizalion and validated by mechanical tests and microstructural observations.

• Geomechanics and Engineering
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• 제17권2호
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• pp.145-156
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• 2019

Since behaviors of loose, dense, silty sands vary under seismic loading, understanding the liquefaction mechanism of sandy soils continues to be an important challenges of geotechnical earthquake engineering. In this study, 36 deformation controlled cyclic simple shear tests were performed and the liquefaction potential of the sands was investigated using three different relative densities (40, 55, 70%), four different effective stresses (25, 50, 100, 150 kPa) and three different shear strain amplitudes (2, 3.5, 5%) by using energy based approach. Experiments revealed the relationship between per unit volume dissipated energy with effective stress, relative density and shear strain. The dissipate energy per unit volume was much less affected by shear strain than effective stress and relative density. In other words, the dissipated energy is strongly dependent on relative density and effective stress. These results show that the dissipated energy per unit volume is very useful and may contain the non-uniform loading conditions of the earthquake spectrum. When multiple regression analysis is performed on experiment results, a relationship is proposed that gives liquefaction energy of sandy soils depending on relative density and effective stress parameters.

• Computers and Concrete
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• 제1권1호
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• pp.77-98
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• 2004

This paper presents a numerical model for simulating the nonlinear response of reinforced concrete (RC) shear walls subject to cyclic loadings. The material behavior of cracked concrete is described by an orthotropic constitutive relation with tension-stiffening and compression softening effects defining equivalent uniaxial stress-strain relation in the axes of orthotropy. Especially in making analytical predictions for inelastic behaviors of RC walls under reversed cyclic loading, some influencing factors inducing the material nonlinearities have been considered. A simple hysteretic stress-strain relation of concrete, which crosses the tension-compression region, is defined. Modification of the hysteretic stress-strain relation of steel is also introduced to reflect a pinching effect depending on the shear span ratio and to represent an average stress distribution in a cracked RC element, respectively. To assess the applicability of the constitutive model for RC element, analytical results are compared with idealized shear panel and shear wall test results under monotonic and cyclic shear loadings.

• 한국광학회:학술대회논문집
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• 한국광학회 2007년도 하계학술발표회 논문집
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• pp.237-238
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• 2007

A new strain analysis model, so called the stress matched model, in an epitaxial multilayer system is proposed. The model makes it possible to know the strain, the stress, the elastic strain energy in each epitaxial layer. Analytical formulas of strain parameters in each epitaxial layer are derived under assumptions that the substrate thickness is finite and the in-plane lattice constant is the same for all epitaxial layers for dislocation free growth. As an example, the model is applied to a 405nm InGaN/InGaN multiple quantum well laser diode. Analysis result shows that AlxGa1-xN layer with Al mole fraction of 0.06 and the thickness of 6${\mu}m$ is one of good templates for a laser. In fact, this layer structure coincides with experimentally optimized one.

• 한국지반공학회논문집
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• 제34권2호
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• pp.5-17
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• 2018

본 연구에서는 연약지반에서의 재하/제하에 대한 안정해석과 응력-변형 해석시 전단 파라미터(UU; Unconsolidated Undrained, CU; Consolidated Undrained(전응력), ${\bar{CU}}$ ; Consolidated Undrained(유효응력))에 따른 초기 지중응력, 강도, 응력-변형 특성을 평가하였다. 시공단계를 고려한 유한요소 해석시 입력하는 전단 파라미터에 따라 초기 지중응력과 이후 해석 결과가 달라질 수 있음을 확인하였다. 특히, Mohr-Coulomb 모델의 입력 파라미터인 내부마찰각(Phi)을 0으로 입력하여 초기 지중응력과 이후 응력-변형 거동을 해석할 경우 잘못된 결과를 도출 할 수 있다는 것을 확인하였다. 전응력 파라미터, CU를 초기 및 전단시 일괄 적용한 해석과 유효응력 파라미터, CU에서 전응력 파라미터, CU로 변경한 해석 결과가 큰 차이를 보이지 않았다. 따라서, 연약지반에 대한 수치해석시 CU 파라미터를 적용하여도 초기 지중응력과 이후 응력-변형 거동에 큰 차이 없이 예측할 수 있음을 알 수 있었다. 또한, 실무에서 적용하기 편한 방법으로 실제 흙의 거동과 동일한 강도를 갖는 Mohr-Coulomb 모델의 전단 파라미터를 산정하는 방법을 제안하였다.

• 한국산학기술학회논문지
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• 제13권9호
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• pp.3864-3868
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• 2012

본 논문은 현장에서 사용되는 안전밸브를 분해하여 실측하였으며 실제형상을 3차원 자동 설계프로그램인 Solidworks를 사용하여 모델링하였다. 또한 모델링된 안전밸브에 대하여 3차원 유한요소해석 코드인 ANSYS를 사용하여 유한요소해석을 실시하였다. 유한요소해석을 통하여 안전밸브에 압력이 작용하였을 때 응력(stress), 변형률(strain), 변형량(deformation)을 구하였다.