• Composites Research
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• 제12권4호
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• pp.1-7
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• 1999

비선형 하중/변위 거동을 나타내는 모재 지배 복합재료의 피로수명 예측을 이론과 실험에 의해 연구하였다. 재료의 비선형성을 고려하기 위해 초기 피로계수와 탄성계수의 관계를 나타내는 응력함수를 도입하였다. 피로계수와 참고계수 개념을 기반으로 하여 새로운 피로수명 예측식이 가한 하중 수위의 함수로 유도되었다. 예측 결과는 직교이방성 탄소섬유/에폭시 적층판을 사용한 원통형 시편의 비틀림 피로 실험과 비교되었으며, 제안된 식은 실험치와 잘 일치하였다.

• Steel and Composite Structures
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• 제23권6호
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• pp.657-668
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• 2017

In the most of previous studies, researchers have restricted their own studies to consider the effect of single walled carbon nanotubes as a reinforcement on the vibrational behavior of structures. In the present work, free vibration characteristics of functionally graded annular plates reinforced by multi-walled carbon nanotubes resting on Pasternak foundation are presented. The response of the elastic medium is formulated by the Winkler/Pasternak model. Modified Halpin-Tsai equation was used to evaluate the Young's modulus of the multi-walled carbon nanotube/epoxy composite samples by the incorporation of an orientation as well as an exponential shape factor in the equation. The exponential shape factor modifies the Halpin-Tsai equation from expressing a straight line to a nonlinear one in the multi-walled carbon nanotubes wt% range considered. The 2-D generalized differential quadrature method as an efficient and accurate numerical tool is used to discretize the equations of motion and to implement the various boundary conditions. The effects of two-parameter elastic foundation modulus, geometrical and material parameters together with the boundary conditions on the frequency parameters of the plates are investigated. This study serves as a benchmark for assessing the validity of numerical methods or two-dimensional theories used to analysis of annular plates.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 1996년도 가을 학술발표회 논문집
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• pp.239-244
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• 1996

The aim of this study is to present the elastic modulus equation that suits to a domestic situation to coincide the improved mechanical properties of high-strength concrete. For this purpose, this study collected the laboratory data more than 400 connected with the modulus of elasticity that performed in this country and also compared with the existing equations compressive strength of investigated concrete ranged from 400 to 1, 400kg/$\textrm{cm}^2$. As a result, it could confirm that the existing equations which were proposed by the ACI 363R. CEB-FIP, NS 3473, and New-RC have a tendency to the overestimation in general.

• 터널과지하공간
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• 제9권3호
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• pp.221-229
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• 1999

수치모델링을 통한 암반구조물 설계 및 안정성 평가에서 가장중요한 것은 현지암반의 파괴조건계수, 압축강도, 탄성계수 등이다. 본 연구에서는 기 연구된 문헌들과 150 set의 삼축압축자료들을 비교분석함으로써 입력자료의 적용성을 제안하였다. Hoek-Brown이 제시한 신선암의 암종별 파괴조건계수와 삼축실험자료의 분석에 의한 파괴조건계수 사이에는 많은 차이가 있었다. 그러나, 압축강도의 변환식들은 RMR에 따라 모두 유사한 거동을 보여 주었다. 한편, 탄성계수의 변환식들은 식의 선택에 따라 많은 차이가 나는 것으로 분석되었으나, Nicholson 등의 제안식이 각 사례들과 대비하여 더 현실적인 것으로 분석 되었다.

• Structural Engineering and Mechanics
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• 제12권6호
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• pp.657-668
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• 2001

Fiber reinforced cementitious composites are nowadays widely applied in civil engineering. The postcracking performance of this material depends on the interaction between a steel fiber, which is obliquely across a crack, and its surrounding matrix. While the partly debonded steel fiber is subjected to pulling out from the matrix and simultaneously subjected to transverse force, it may be modelled as a Bernoulli-Euler beam partly supported on an elastic foundation with non-linearly varying modulus. The fiber bridging the crack may be cut into two parts to simplify the problem (Leung and Li 1992). To obtain the transverse displacement at the cut end of the fiber (Fig. 1), it is convenient to directly solve the corresponding differential equation. At the first glance, it is a classical beam on foundation problem. However, the differential equation is not analytically solvable due to the non-linear distribution of the foundation stiffness. Moreover, since the second order deformation effect is included, the boundary conditions become complex and hence conventional numerical tools such as the spline or difference methods may not be sufficient. In this study, moment equilibrium is the basis for formulation of the fundamental differential equation for the beam (Timoshenko 1956). For the cantilever part of the beam, direct integration is performed. For the non-linearly supported part, a transformation is carried out to reduce the higher order differential equation into one order simultaneous equations. The Runge-Kutta technique is employed for the solution within the boundary domain. Finally, multi-dimensional optimization approaches are carefully tested and applied to find the boundary values that are of interest. The numerical solution procedure is demonstrated to be stable and convergent.

• Advances in aircraft and spacecraft science
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• 제5권3호
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• pp.295-318
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• 2018

This research studies thermo-elastic behavior of rotating micro discs that are employed in various micro devices such as micro gas turbines. It is assumed that material is functionally graded with a variable profile thickness, density, shear modulus and thermal expansion in terms of radius of micro disc and as a power law function. Boundary condition is considered fixed-free with uniform thermal loading and elastic field is symmetric. Using incompressible material's constitutive equation, we extract governing differential equation of four orders; to solution this equation, we utilize general differential quadrature (GDQ) method and the results are schematically pictured. The obtained result in a particular case is compared with another work and coincidence of results is shown. We will find out that surface effect tends to split micro disc's area to compressive and tensile while nonlocal parameter tries to converge different behaviors with each other; this convergence feature make FGIMs capable to resist in high temperature and so in terms of thermo-elastic behavior we can suggest, using FGIMs in micro devices such as micro turbines (under glass transition temperature).

• 산업기술연구
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• 제33권A호
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• pp.109-116
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• 2013

In this study the compressive strength data were collected from ready­mix concrete plants, and the analysis result showed that when using A­D test the concrete of 24MPa is suitable than that of 21MPa for normal distribution. The prediction formula for average compressive strength were proposed to $f_{cu}=f_{ck}+4(MPa)$. When comparing the proposed equations and existing relationship, the estimation variations of elastic modulus and creep modulus were not significant. The proposed equation confirmed that there was no effect to the influence function for modulus of elasticity and creep. Therefore, it was concluded that the proposed equation could replace the exiting interaction formula.

• Structural Engineering and Mechanics
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• 제80권6호
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• pp.657-668
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• 2021

In this study, a relationship between the resonance frequency ratio and Poisson's ratio was proposed that can be used to directly determine the elastic constants. Using this relationship, the frequency ratio between the 1st bending mode and 2nd bending mode for any rectangular Timoshenko beam can be directly estimated and used to determine the elastic constants efficiently. The exact solution of the Timoshenko beam vibration frequency equation under free-free boundary conditions was determined with an accurate shear shape factor. The highest percent difference for the frequency ratio between the theoretical values and the estimated values for all the beam dimensions studied was less than 0.02%. The proposed equations were used to obtain the elastic constants of beams with different material properties and dimensions using the first two measured transverse bending frequencies. Results show that using the equations proposed in this study, the Young's modulus and Poisson's ratio of rectangular Timoshenko beams can be determined more efficiently and accurately than those obtained from industry standards such as ASTM E1876-15 without the need to test the torsional vibration.

• Geomechanics and Engineering
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• 제15권5호
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• pp.1081-1089
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• 2018

The deformation and strength of brittle rocks are significantly influenced by the crack closure behavior. The relationship between the strength and deformation of rocks under uniaxial loading is the foundation for design and assessment of such scenarios. The concept of relative crack closure strain was proposed to describe the influence of the crack closure behavior on the deformation and strength of rocks. Considering the crack compaction effect, a new damage constitutive model was developed based on accumulated AE counts. First, a damage variable based on the accumulated AE counts was introduced, and the damage evolution equations for the four types of brittle rocks were then derived. Second, a compaction coefficient was proposed to describe the compaction degree and a correction factor was proposed to correct the error in the effective elastic modulus instead of the elastic modulus of the rock without new damage. Finally, the compaction coefficient and correction factor were used to modify the damage constitutive model obtained using the Lemaitre strain equivalence hypothesis. The fitted results of the models were then compared with the experimental data. The results showed that the uniaxial compressive strength and effective elastic modulus decrease with an increase in the relative crack closure strain. The values of the damage variables increase exponentially with strains. The modified damage constitutive equation can be used to more accurately describe the compressive deformation (particularly the compaction stage) of the four types of brittle rocks, with a coefficient of determination greater than 0.9.

• 한국산학기술학회논문지
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• 제17권12호
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• pp.98-106
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• 2016

본 연구는 공업용 응용이 많은 알루미늄 또는 구리와 같은 재료를 나노 압입 시험기에 의하여 탄생계수 및 경도 값을 얻을 때 파일-업(pile-up) 현상이 생기는 경우 계측 값을 교정할 수 있는 방법에 대해 다룬다. 나노 압입 시험기에 의해 얻어지는 탄성계수와 경도의 측정치는 접촉면적의 피팅 (fitting) 식에 의존하게 되는데 이는 오로지 싱크-인(sink-in) 재료에만 유효하다. 그러므로 싱크-인이 아닌 파일-업인 많은 무른 공학재료들에 있어서는 그 접촉면적이 실제보다 적게 계산되고 따라서 탄성계수와 경도는 높게 계산된다. 본 연구에서는 이미 탄생계수를 알고 있는 파일-업 거동을 보이는 재료의 경우에 경도 값을 교정하는 방법을 제안한다. 이 방법을 경금속인 Al 6061 T6와 C 12200에 적용하기 위해 인장시험, 나노 압입시험, 압입자국 측정, 그리고 유한요소해석을 수행하였다. 압입 자국 측정과 유한요소해석을 흥하여 두 재료 모두 파일-업 거동이 발생하는 것을 알 수 있었다. 제안한 교정 방법은 싱크-인 접촉면적 값을 파일-업 접촉면적 값으로 늘려 주었고 경도 측정값을 낮추어 주었다. 교정된 경도 값은 별도의 연구에서 다룬 변형률 구배 소성을 고려한 유한요소해석 결과와 잘 일치하였다.