• 소성∙가공
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• 제16권7호
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• pp.516-520
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• 2007

As the springback of sheet metal during unloading nay cause deviation from a desired shape, accurate prediction of springback is essential for the design of sheet stamping operations. On the removal of the applied load the specimen loses its elastic strain by contracting around the contour of the block, the radius $\rho$ can be determined by the residual differential strain. Therefore in this study the springback estimated by the residual differential strain is experimentally validated through the comparison with those obtained by U-bending test. The springback characteristics of two analytical models are also estimated at various processing conditions such as thickness, curvature of radius and drawing strain. The model based on residual differential strain has an applied transition strain where the springback undergoes a dramatic decrease. Both models show that springback decreases with increased strip thickness and with decreased radius of curvature. For no applied tension, the model based on residual differential strain predicts more springback as compared to the moment based model.

• 소성∙가공
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• 제16권7호
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• pp.509-515
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• 2007

As the springback of sheet metal during unloading may cause deviation from a desired shape, accurate prediction of springback is essential for the design of sheet stamping operations. When considering the case of a sheet metal being bent to radius $\rho$ that is such that the maximum stress induced exceed the elastic limit of the material, plastic strain in the outer surface will occur and the material will take a permanent set: but since, on removing the bending moment, the recovery of the material is not uniform across the thickness, springback will occur and the radius $\rho$ will not be maintained. Furthermore, when a tensile load being applied to each end of specimen, the tensile stress due to bending is increased and the compressive stress is decreased or cancelled and eventually the whole specimen may be in varying degree of tension. On the removal of the applied load the specimen loses its elastic strain by contracting around the contour of the block, the radius $\rho$ will be determined by the residual differential strain. Therefore in this study the springback is analytically estimated by the residual differential strains between upper and lower surfaces of greatest radius after elastic recovery, and a springback model based on the bending moment is also analytically derived for comparison purpose.

• 한국지반환경공학회 논문집
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• 제11권11호
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• pp.55-62
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• 2010

액상화에 의해 발생되는 피해의 상당 부분은 반복전단과정에서 발생한 과잉간극수압이 소산되면서 지표에 나타나는 침하에서 유발된다. 그러나 지반은 매우 복잡한 구조로 되어 있기 때문에 침하는 균등하게 발생하지 않으며 대부분 부등 침하의 형태로 발생되게 된다. 일반적으로는 이러한 잔류전단변형률이 없는 상태에서 재압밀을 수행하지만 현실적으로는 잔류전단변형이 남아있는 것이 자연스러운 현상이라는 인식과 함께 다양한 다이레이턴시 특성하에서 발생되는 액상화 후 재압밀에 대한 고찰이 거의 이루어지지 않았다는 점에 주목하여 본 연구에서는 잔류전단변형률이 액상화 후 재압밀과정에 미치는 영향을 검토하였다. 이를 위하여 변형률 제어에 기반을 둔 시험장치와 간극수의 배수를 정밀 제어할 수 있는 체적변형률 제어장치를 이용하여 세립분을 포함하고 있지 않은 표준사와 세립분을 포함한 풍화토에 대한 일련의 삼축압축시험을 실시하였고 그 결과를 고찰하였다. 결과 표준사의 경우 에는 상대적으로 잔류전단변형률이 액상화 후 체적압축특성에 미치는 영향이 작았으나 풍화토의 경우에는 유효응력-체적변형률 관계곡선이 잔류전단변형률이 클수록 하방에 위치하였으며 곡선의 형상에도 영향을 미치고 있었고 대체적으로 응력 수준이 낮은 배수 초기에 체적변형률이 급증하며 유효응력 증가에도 거의 체적변형은 일어나지 않고 있다. 액상화에 의한 침투유동파괴가 낮은 응력 수준에서 발생된다는 점을 고려하면 이러한 관계 곡선의 형상은 매우 중요한 의미를 갖는다.

• Journal of Mechanical Science and Technology
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• 제20권10호
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• pp.1646-1652
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• 2006

A model of mechanical behavior of microcantilever due to intrinsic strain during deposition of MEMS structures is derived. A linear ordinary differential equation is derived for the beam deflection as a function of the thickness of the deposited layer. Closed-form solutions are not possible, but numerical solutions are plotted for various dimensionless ratios of the beam stiffness, the intrinsic strain, and the elastic moduli of the substrate and deposited layer. This model predicts the deflection of the cantilever as a function of the deposited layer thickness and the residual stress distribution during deposition. The usefulness of these equations is that they are indicative of the real time behavior of the structures, i.e. it predicts the deflection of the beam continuously during deposition process.

• 콘크리트학회지
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• 제9권2호
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• pp.153-161
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• 1997

콘크리트가 외기에 노출되면 수분확산 현상으로 수분의 이동이 일어나고, 콘크리트 내부는 부등수분분포상태가 된다. 이러한 부등수분분포에 의하여 콘크리트 구조물에는 부등건조수축이 발생하며, 부등건조수축은 콘크리트 표면에 인장응력을 발생시키고, 표면균열의 원인이 되기도 한다. 또한 부등건조수축으로 인한 잔류응력은 현저한 크리이프의 영향을 받고, 이 때 각 위치에서 수분의 차이로 인하여 부등크리이프가 발생한다. 따라서 이 연구에서는 수분확산이론을 근거로 하여 콘크리트 내부의 수분분포를 합리적으로 예측할 수 있는 해석프로그램을 개발하였다. 그리고 콘크리트 내부의 각 위치에서 부등크리이프의 영향을 고려한 부등건조수축 해석방법을 제시하였다. 또한 콘크리트 내부의 각 위치에서의 부등건조수축 측정실험을 실시하여, 부등건조수축 해석방법의 타당성을 검증하였다.

• Advances in nano research
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• 제5권4호
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• pp.337-357
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• 2017

Knowledge of thin films mechanical properties is strongly associated to the reliability and the performances of Nano Electro Mechanical Systems (NEMS). In the literature, there are several methods for micro materials characterization. Bulge test is an established nondestructive technique for studying the mechanical properties of thin films. This study improve the performances of NEMS by investigating the mechanical behavior of Nano rectangular thin film (NRTF) made of new material embedded in Nano Electro Mechanical Systems (NEMS) by developing the bulge test technique. The NRTF built from adhesively-bonded layers of basalt fiber reinforced polymer (BFRP) laminate composite materials in Nano size at room temperature and were used for plane-strain bulging. The NRTF is first pre-stressed to ensure that is no initial deflection before applied the loads on NRTF and then clamped between two plates. A differential pressure is applying to a deformation of the laminated composite NRTF. This makes the plane-strain bulge test idea for studying the mechanical behavior of laminated composite NRTF in both the elastic and plastic regimes. An exact solution of governing equations for symmetric cross-ply BFRP laminated composite NRTF was established with taking in-to account the effect of the residual strength from pre-stressed loading. The stress-strain relationship of the BFRP laminated composite NRTF was determined by hydraulic bulging test. The NRTF thickness gradation in different points of hemisphere formed in bulge test was analysed.

• Advances in Computational Design
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• 제2권2호
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• pp.107-119
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• 2017

The Micro circular diaphragm (MCD) is the mechanical actuator part used in the micro electro-mechanical sensors (MEMS) that combine electrical and mechanical components. These actuators are working under harsh mechanical and thermal conditions, so it is very important to study the mechanical and thermal behaviors of these actuators, in order to do with its function successfully. The objective of this paper is to determine the thermo-mechanical behavior of MCD by developing the traditional bulge test technique to achieve the aims of this work. The specimen is first pre-stressed to ensure that is no initial deflection before applied the loads on diaphragm and then clamped between two plates, a differential pressure (P) and temperature ($T_b$) is leading to a deformation of the MCD. Analytical formulation of developed bulge test technique for MCD thermo-mechanical characterization was established with taking in-to account effect of the residual strength from pre-stressed loading. These makes the plane-strain bulge test ideal for studying the mechanical and thermal behavior of diaphragm in both the elastic and plastic regimes. The differential specimen thickness due to bulge effect to describe the mechanical behavior, and the temperature effect on the MCD material properties to study the thermal behavior under deformation were discussed. A finite element model (FEM) can be extended to apply for investigating the reliability of the proposed bulge test of MCD and compare between the FEM results and another one from analytical calculus. The results show that, the good convergence between the finite element model and analytical model.

• 열처리공학회지
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• 제34권5호
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• pp.226-232
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• 2021

The relationship between precipitation and coefficient of thermal expansion of Al-6%Si-0.4%Mg-0.9%Cu-(Ti) alloy (in wt.%) after various heat treatments were studied by the thermodynamic analyzer (TMA) and differential scanning calorimetry (DSC). Solution heat treatment of the alloy was carried out at 535℃ for 6 h followed by water quenching, and the samples were artificially aged in the air at 180℃ and 220℃ for 5 h. The coefficient of thermal expansion (CTE) curve showed some residual strain and decreased with increasing aging temperature. The CTE curves changed sharply in the temperature range of 200℃ to 400℃, and the corresponding peak shifted for the aged samples due to the change in the precipitation behavior of the secondary phase. These transformation peaks in the aged sample are related to the volume of the precipitation of the Si phase as determined by DSC analysis. The change in CTE is mainly caused by the precipitation of the Si phase in the Al-Si alloy, and the size of the change occurs simultaneously with the size of the precipitate.

• Structural Engineering and Mechanics
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• 제44권4호
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• pp.431-448
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• 2012

In this paper, the first-order shear deformation theory (FSDT) (Mindlin) for continuum incorporating surface energy is exploited to study the static behavior of ultra-thin functionally graded (FG) plates. The size-dependent mechanical response is very important while the plate thickness reduces to micro/nano scales. Bulk stresses on the surfaces are required to satisfy the surface balance conditions involving surface stresses. Unlike the classical continuum plate models, the bulk transverse normal stress is preserved here. By incorporating the surface energies into the principle of minimum potential energy, a series of continuum governing differential equations which include intrinsic length scales are derived. The modifications over the classical continuum stiffness are also obtained. To illustrate the application of the theory, simply supported micro/nano scaled rectangular films subjected to a transverse mechanical load are investigated. Numerical examples are presented to present the effects of surface energies on the behavior of functionally graded (FG) film, whose effective elastic moduli of its bulk material are represented by the simple power law. The proposed model is then used for a comparison between the continuum analysis of FG ultra-thin plates with and without incorporating surface effects. Also, the transverse shear strain effect is studied by a comparison between the FG plate behavior based on Kirchhoff and Mindlin assumptions. In our analysis the residual surface tension under unstrained conditions and the surface Lame constants are expected to be the same for the upper and lower surfaces of the FG plate. The proposed model is verified by previous work.